Answer: 3 , 1 1/2
Step-by-step explanation:
Solve for
x
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x
=
3
,
3
2
Decimal Form:
x
=
3
,
1.5
Mixed Number Form:
x
=
3
,
1
1
2
describe and correct the error in using properties of parallelograms
Answer:
see explanation
Step-by-step explanation:
• the diagonals bisect each other
that is the point F is the midpoint of both diagonals GJ and KH
Note that GJ ≠ KH
Then
GF ≅ FJ
KF ≅ FH
your error is in that you have mixed up the appropriate diagonals
Hillary i decorating a gingerbread houe and plan to cover the front of the houe with ice not including the window or a door the window meaure 2 cm x 2. 5 cm and the door meaure 2 cm x 3 cm Where i the area of the gingerbread houe Hillary recover with icing
It means that the area of the gingerbread house Hillary will cover with icing is 0 cm^2.
To find the area of the gingerbread house that Hillary plans to cover with icing, we need to subtract the area of the window and the door from the total area of the front of the house.
The window measures 2 cm x 2.5 cm, so the area of the window is 2 cm x 2.5 cm = 5 cm^2
The door measures 2 cm x 3 cm, so the area of the door is 2 cm x 3 cm = 6 cm^2
The total area of the front of the house is the sum of the areas of the window and door, so we can find it by adding 5 cm^2 + 6 cm^2 = 11 cm^2
To find the area of the gingerbread house Hillary will cover with icing, we need to subtract the area of the window and the door from the total area of the front of the house:
Area of gingerbread house covered with icing = Total area of front of house - Area of window - Area of door
Area of gingerbread house covered with icing = 11 cm^2 - 5 cm^2 - 6 cm^2 = 0 cm^2
It means that the area of the gingerbread house Hillary will cover with icing is 0 cm^2. This means that the area of the window and door are equal to the total area of the front of the house and there's no space left to put icing on.
Thus, It means that the area of the gingerbread house Hillary will cover with icing is 0 cm^2.
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The window is 2 cm by 2.5 cm, so its surface is 2 cm by 2.5 cm, or 5 cm2.
The door is 2 cm by 3 cm in size, so its surface is 2 cm by 3 cm, or 6 cm2.
We can calculate the area of the front of the house by adding the areas of the window and entrance (5 cm2 + 6 cm2 = 11 cm2)
The area of the window and door must be subtracted from the overall front-of-the-house area in order to determine how much of the gingerbread house Hillary will ice:
Total frontage of the home divided by the size of the gingerbread house covered in frosting
A right triangle has an angle measure of 32°. What is the measure of one of the other angles in the triangle?
Answer:
58°
Step-by-step explanation:
A right triangle is a type of triangle with exactly one angle equal to 90°. The other two angles sum up to 90°.
A triangle measures 180°. We plug in the given information from the question above…
90° + 32° = 122°
Applying the Triangle Sum Property…
180° - 122° = 58°
Can someone pls help me :((((((((
Why would Feynman say Phlogiston Theory was not scientific?
Feynman says Phlogiston Theory was not scientific is because it didn't utilized methods that were related to science.
What is Phlogiston Theory about?The phlogiston theory, a debunked scientific hypothesis, suggested that combustible bodies contained a fire-like substance called phlogiston, which was released during combustion. Johann Joachim Becher first put forth the concept in 1667, and Georg Ernst Stahl later formalized it. Phlogiston theory sought to explain oxidation, the modern term for chemical processes like combustion and rusting.
According to the phlogiston theory, when something is burned, it dephlogisticates, releasing stored phlogiston that is then taken in by the air. The phlogiston is then absorbed by developing plants, which is why air does not spontaneously ignite and why plant matter burns so effectively.
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Is the following statement true or false?
Every diameter of a circle is a chord.
Justify your answer using what you know about diameters and cords.
Answer: True.
A diameter is a line that goes across the whole circle and passes by the center.
A chord is any line segment that connects two points on the circumference.
Since the diameter is a line from one opposite end of the circle to the other, it is connect two points on the circumference, thus it is a chord.
Step-by-step explanation:
Cool Down: A Pot of Water
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove
t minutes after the stove is turned on. After 30 minutes, the pot is taken off the stove.
The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range.
What is domain and range ?You may recall this by saying "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" stand for "left to right," "R" stands for "range," and "B" and "T" stand for "bottom to top," and "R" stands for "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
Between the minimum and greatest value are the numbers that make up the range. The range would be [75,212] because the lowest Y value is 75 and the greatest one is around 212.5. .5] a domain and a range. The collection of values that can be plugged into a function's domain are called its parameters.
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Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
You may remind yourself of this by repeating "DoLaR RiBiT," where "DoLaR" stands for "domain," "L" and "R" are "left to right," "R" is "range," "B" and "T" are "bottom to top," and "R" is "range." Since the function doesn't approach 250, as can be seen in the graph, 250 is not inside the range.
1. The numbers that make up the range lie between the lowest and highest value. Because the lowest Y value is 75 and the highest one is around 212.5, the range would be [75,212].
The set of values that can be plugged into the domain of a function is referred to as its parameters.
Thus, the range would be [75,212] because the lowest Y value is 75 and the maximum is somewhere around 212.5.
2. The set of all temperatures that the water can attain is the function's range. The temperature of the water rises quickly at first, then more gradually, and after 30 minutes, it levels off and stops rising altogether, as shown by the graph.
As a result, the range of the function is a range of temperatures, beginning at the water's initial temperature and ending at the water's highest temperature.
3. The time at which the water reaches a temperature of 0 degrees Fahrenheit is represented by the equation W(t) = 0. We can observe from the provided graph that the water temperature rises quickly at first and subsequently more gradually.
The water is therefore unlikely to ever reach a temperature of 0 degrees Fahrenheit. As a result, W(t) = 0 cannot be solved.
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What are the real or imaginary solutions of the polynomial equation x4 52x2 576 0?.
The given equation "x⁴- 52x² + 576 = 0" does not have any imaginary solution , the real solutions are x = 4 or x = -4 or x = 6 or x = -6 .
The real solution in algebra is simply a solution of the equation which is a real number.
the equation is : x⁴ -52x² + 576 = 0 ;
we rewrite the equation as : ⇒ (x²)² - 52x² + 576 = 0;
let x² = u ;
the equation becomes ⇒u² - 52u + 576 = 0 ;
the equation in factor form is written as : ⇒ (u - 16)(u - 36) = 0 ;
this implies that ; ⇒ x² = 16 or x² = 36 ;
that means that the real solutions are ⇒ x = ±4 or x = ±6 .
The given question is incomplete , the complete question is
What are the real or imaginary solutions of the polynomial equation x⁴ -52x² + 576 = 0 ?
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HELP GIVING 10 PPOINTS What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters? Thirty-five and six twenty-fourths m2 Twenty-eight and ten twenty-fourths m2 Twenty-eight and seven-tenths m2 Twenty-two and ten-twelfths m2
The area of rectangle is 19.58 m.
The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.
The surface of a shape's area is measured. You must multiply the length and breadth of a rectangle or square in order to determine its area. A has an area of x times y.
length of the rectangle = 2 2/4 m
width of rectangle = 7 5/6 m
Area of rectangle = Length × Breadth
⇒ 10/4 × 47/6
⇒ 5/2 × 47/6
⇒ 19.58 m
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The ratio of boys to girls in von cells class is 2:3 whit h of the following represents the number of boys and girls in her class
Answer:
The ratio of boys to girls in von's class is 2:3, which means for every 2 boys there are 3 girls.
The following can represent the number of boys and girls in her class:
If there are 12 students in the class, there would be 8 boys and 4 girls (2:3 ratio)
If there are 15 students in the class, there would be 10 boys and 5 girls (2:3 ratio)
If there are 18 students in the class, there would be 12 boys and 6 girls (2:3 ratio)
And so on.
It is important to note that as long as the ratio of boys to girls is 2:3, the numbers will represent the number of boys and girls in the class.
Step-by-step explanation:
the table shows the amount of rainfall above or below average for little town in 2015 and 2016.how much more rainfall did little town receive 2016 than in 2015 2015 -4.17 2016 +2.95
The more rainfall little town will receive 2016 than in 2015 is 7.12
What is associative property of addition?Suppose you've got 3 numbers as a, b, and c.
Then, we have
(a+b) + c = a + (b + c)
This property is called associative property and it is called so because we can associate b with a, or b with c without altering the value of the addition.
Given;
2015 -4.17
2016 +2.95
To find out the more rainfall in 2016;
We will add the two numbers
=4.17 +2.95
=7.12
Therefore, the rainfall after addition will be 7.12
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What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
If uing the method of completing the quare to olve the quadratic equation
x^25x−1=0, which number would have to be added to "complete the quare"?
If we use the method of completing the square to solve the quadratic equation x² + 5x - 1 = 0, we have to add (-25/4) to convert it to (x + 5/2)² - 29/4 = 0
The standard form of a quadratic equation is:
ax² + bc + c = 0
Three methods for solving a quadratic equations:factoringcompleting the squareabc formulaIn this case, the quadratic function is:
x² + 5x - 1 = 0
To solve it using the "complete the square" method, write the equation as:
(x + 5/2)² - 1 + .... = 0
The blank part in the above equation means we need to add a number to make the equality still holds.
Note that:
(x + 5/2)² = x² + 5x + 25/4
Hence,
(x + 5/2)² - 1 = x² + 5x + 25/4 - 1
Hence, we need to add (-25/4) to make the original equality holds:
(x + 5/2)² - 1 + (-25/4) = 0
(x + 5/2)² - 29/4 = 0
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What are the 5 triples?.
(3, 4, 5), (5, 12, 13), (6, 8, 10), (9, 12, 15), and (15, 20, 25) are the five most common Pythagorean triples.
Any three positive integers that completely satisfy the Pythagorean theorem are considered Pythagorean triples. According to the theorem, the hypotenuse's square is equal to the sum of the squares of the other two legs of any right triangle. The Pythagorean triples are made up of the right triangle's three sides. In this article, we will learn how to make a few Pythagorean triples.
Pythagorean Triples: What Are They?A set of three positive numbers known as Pythagorean triples conforms to the Pythagoras theorem's formula, which reads as follows: a2 + b2 = c2, where a, b, and c are positive integers. "c" denotes the "hypotenuse," or longest side, and "a" and "b" denote the remaining two legs of the right-angled triangle. (a,b,c) is how the Pythagorean triples are shown. Three, four, and five are the most well-known Pythagorean triples. We are able to demonstrate that the equations 3, 4, and 5 are correct. Find out how! 32 + 42 = 52 ⇒ 9 + 16 = 25. The Pythagorean triples 3, 4, and 5 are depicted in the right-angled triangle below.
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What happens when you create a Cartesian product Mcq?.
All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets.
The Cartesian product in SQL is a brand-new table created from two existing tables. The Cartesian product table will have three and four lines if the two tables have three and four lines, respectively. Every row from the first table so connects every row from the second table.
All feasible ordered pairs of the elements of the original sets are produced by multiplying two sets. The Cartesian product entails numerous computations, many of which are typically redundant. Therefore, we advise utilizing the qualifier operators for huge tables.
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Complete the equation of the line through
(
−
6
,
5
)
(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and
(
−
3
,
−
3
)
(−3,−3)left parenthesis, minus, 3, comma, minus, 3, right parenthesis.
Use exact numbers.
An equation of the line through the points (-6, 5) and (-3, -3) is y = -8x/3 - 11.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line which passes through the points (-6, 5) and (-3, -3) by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 5 = (-3 - 5)/(-3 + 6)(x + 6)
y - 5 = -8/3(x + 6)
y - 5 = -8x/3 - 16
y = -8x/3 - 16 + 5
y = -8x/3 - 11
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Rowan spends 20% of his monthly salary on food while spending 30% of the remainder on transport. He saves the rest for clothes. What percentage of the salary does he save for clothes?
In a case whereby Rowan spends 20% of his monthly salary on food while spending 30% of the remainder on transport the percentage of the salary does he save for clothes is 50%.
How can percentage of the salaryon clothes be known?The concept that will be used here is the percentage. A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.
The percentage of overall value is always 100%
Given : monthly salary on food = 20%
monthly salary on transport = 30%
The percentage of the salary save for clothes = 100% - 30% - 20% = 50%
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Which of the following graphs shows the solution set for the inequality below? 3|x-3|>9
The solution of the given inequality is x < 0 or x > 6. [ And the Graph is given below]
Graphing Inequalities:It is quite similar to graphing linear equations to draw inequalities. Two further steps must be taken while concentrating on the inequality sign.
When you graph linear inequalities, you must perform two more steps i.e Choosing between a solid borderline and a dashed boundary line will be the first stage.
We can identify the boundary line with the inequality symbol.
We use a dotted boundary line if the inequality symbol is greater than or less than. This indicates that the answers are not part of the borderline.
We will use a solid line to denote that the solutions are included on the boundary line if the inequality symbol is greater than or equal to or less than or equal to.
Here we have
3 |x - 3| > 9
Divide by 3 into both sides
=> [ 3|x - 3| ]/3 > 9/3
=> |x - 3| > 3
As we know
If |u| > a, u < - a or u > a=> |x - 3| > 3
=> (x - 3) < -3 or (x - 3) > 3
=> x < 0 or x > 6
Therefore,
The solution of the given inequality is x < 0 or x > 6. [ And the Graph is given below]
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For each of the following systems of equations, decide whether it would be more straightforward to solve the system by substitution or elimination and indicate why. 5x 12y = -47
-2x+12y = 16
Answer:
Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x
Step-by-step explanation:
The first equation is missing a + or - sign
Regardless, it is easier to solve using elimination since the y coefficients are the same.
Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x
Keddy drove from 12:36 to 13:51 to ee hi friend off at the airport. If the airport wa 200 km away, what wa the average peed of Keddy?
The average speed of Keddy based on time of travel and distance covered is 160 km/hr.
The time taken to reach the destination = 13:51 - 12:36
Performing subtraction
Time taken to reach the destination = 1:15 or 1 hour and 15 minutes
As we know, 1 hour has 60 minutes.
So, total time in hour = 1 + 15/60
Total time in hour = 1.25 hours
The speed, distance and time are related as -
Average speed = total distance travelled ÷ total time taken
Keep the values in formula -
Average speed = 200/1.25
Performing division
Average speed = 160 km/hr
Thus, the average speed of Keddy is 160 km/hr.
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7. I went to get hamburgers. I bought eight and it cost $51.92
How much was each burger?
Given (x^2-a)(3x-2)=3x^3+bx^2+cx+10, find values for a b and c.
The values of the constants for the given quadratic equation are a=2, b=3, and c=7.
What is a quadratic equation?The values of the constants for the given quadratic equation are a=2, b=3, and c=7.
The quadratic equation is defined as a polynomial with a degree of two or with a maximum power of a variable in a polynomial of 2, which will cut two intercepts on the graph at the x-axis.
Here is an equation to consider:
2x²+3x+7 = 0
Using the general equation as a comparison to the previous equation:
ax²+bx+c = 0
Thus, the constants' values will be as follows:
a=2, b=3 c=7
Therefore, for the following quadratic equation, the values of the constants are a=2, b=3, and c=7.
The values of the constants for the given quadratic equation are a=2, b=3, and c=7.
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I need HELP ASAP PLEASE RIGHT KNOW!!! I really need this final homework assignment out of my hair please I'm on my knees
10 POINTS
The area of square A is 25 in² and each side measures 5 inches
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
For square B:
Area = side²
144 = side²
side = 12 in
For square C:
Area = side²
169 = side²
side = 13 in
To find the length of each square A side, we use Pythagoras theorem. Hence:
(Side C)² = (Side A)² + (side B)²
13² = (side A)² + 12²
169 = (side A)² + 144
(side A)² = 25
Side A = 5 in
Area of square A = (side A)² = 5² = 25 in²
The area of square A is 25 in²
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Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 22 cards, which was 2% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
PLEASE HELP ITS DUE IN 5
When 2 percent of cards is 22, then total number of cards that were sold is 1100.
What is percentage?In mathematics, a percentage is a number or ratio that represents a portion of 100. It is just one of a number of ways to represent a dimensionless relationship between two numbers; others include ratios, fractions, and decimals.
Percentages are frequently represented by writing the symbol "%" after a number. Additionally, you can denote them by appending "percent" or "pct" to the end of the number. For instance, the decimal 0.35, the fractions 35/100 and 7/20, and the percentage 35% can all be represented.
Given that 2% of cards is 22 cards, i.e.
2/100 = 22/x
2/100 = 22/x
2x = 100 × 22
2x = 2200
x = 2200/2
x = 1100
Thus, When 2 percent of cards is 22, then total number of cards that were sold is 1100.
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Answer:
When 2% of cards equals 22, the total number of cards sold is 1100.
What exactly is a percentage?
A percentage is a number or ratio that represents a portion of 100 in mathematics. It is one of several ways to represent a dimensionless relationship between two numbers, the others being ratios, fractions, and decimals.
The symbol "%" is commonly used to represent percentages after a number. You can also indicate them by appending "percent" or "pct" to the end of the number. The decimal 0.35, fractions 35/100 and 7/20, and percentage 35%, for example, can all be represented.
So, Given that 2% of cards equals 22.
Explanation:
2/100 = 22/x
2/100 = 22/x
2x = 100 × 22
2x = 2200
x = 2200/2
x = 1100
Therefore, if 2% of cards equals 22, the total number of cards sold is 1100.
At the 2008 Summer Olympics, Usain Bolt won the 100 m sprint with a time of 9.69 sec.
Which statements are true?
Select all that apply.
Theoretically, Usain Bolt can complete a kilometer in 96.9 seconds, and he also moves at an average speed of 1.032 * 10 m/s.
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given that, At the 2008 Summer Olympics, Usain Bolt won the 100 m sprint with a time of 9.69 sec.
Thus,
The average speed of the athlete = 100/9.69
The average speed of the athlete = 10.319 m/sec.
Also theoretically he can run 1 km in 96.9 seconds.
therefore, theoretically Usain bolt can run 1 km in 96.9 seconds, and also his average speed is 1.032 * 10 meters per second.
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The time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximated by the normal distribution, as shown in the figure to the right.
What waiting time represents the 5th percentile?
What waiting time represents the third quartile?
The waiting time represents the 5th percentile is 160.852 days and the waiting time represents the third quartile is 220.22 days
How to solve the problem?The parameters that will help us to understand the solution are
Let X be the random variable representing the waiting time.
Here the mean = 203 days
Standard deviation (∑∝) = 25.7 days
For calculating the 5th percentile, we need to find the z- score having area 0.05.
By Z-score table we have Z= -1.64
Now, Using formula X=Z\standard deviation +mean
X = (-1.64)*(25.7)+203
= 160.852 days
Waiting time representing 5th percentile = 160.852 days.
For calculating third quartile, we know that third quartile represents the area to the left of 75% = 0.75
we need to calculate the Z score when the area is 0.75. Using the table we get Z= 0.67
X = (0.67)*(25.7)+203
= 220.22 (days)
Waiting time representing third quartile = 220.22 days
Conclusively, 160.852 days and 220.22 days represent the 5th and 3rd percentile and quartiles of the waiting time
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Correct question:
Assume the time spent (in days) waiting for a heart transplant for people ages 35-49 can be approximated by a normal distribution with mean of 203 days and a standard deviation of 25.7 days. what waiting time represents the 5th percentile? what waiting time represents the third quartile?
Select the correct pronoun to complete the
sentence.
After the election results were
reported, and Gavin watched
the winning candidate give an
inspiring speech.
her
Submit
she
"She" is the right pronoun to finish the phrase. The pronoun "she" is used to refer to the victorious candidate since she is considered to be female. The pronoun "they" is commonly used when referring to someone whose gender is unclear or undetermined.
What is a pronoun?A pronoun is a term that is used in a phrase in place of a noun. In order to avoid using the same nouns again and to refer to someone or something without using their name, pronouns are utilised. Pronouns can be classified into a variety of categories, such as personal pronouns (like I, me, you, him, her, it, we, us, and they), possessive pronouns (like my, mine, your, yours, his, her, hers, it, our, ours, and their, theirs), reflexive pronouns (like I, myself, you, him, her, it, ourselves, ourselves, and ourselves), and interrogative pronoun (such as who, whom, whose, which, what).
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What i the ditance between Point P and Point Q on the number line? Enter the anwer in the box
The distance between Point P and Point Q on the number line is the absolute value of the difference between the coordinates of the two points.
In other words, if Point P has coordinate x and Point Q has coordinate y, then the distance between the two points is |x - y|. For example, if Point P has coordinate 3 and Point Q has coordinate 7, then the distance between the two points is |3 - 7| = |-4| = 4. This is because it is measuring the distance between two points in one dimension, that is on the number line.
The number line is a visual representation of the set of real numbers. It is a straight line with points that correspond to the numbers on the line. Each point on the number line corresponds to a unique real number, and the position of the point on the line indicates its value. The numbers on the left side of the number line are generally considered as negatives and the numbers on the right side as positives. The numbers on the line are evenly spaced, with the distance between any two consecutive numbers being the same, typically represented by 1 unit.
This question should be provided as:
What is the distance between Point P and Point Q on the number line?The question is incomplete, thus the answer is general.
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find the value of X
Answer:
x=99°
Step-by-step explanation:
total angle :
(n-2)×180°
=360°
x= 360°- 101° - 92°- 68°
x= 99°
Answer:
The value of X is 99 ( being the sum of all angle of quadrilateral is 360)
For a given arithmetic sequence, the 89th
Find the value of the 29th term, 29.
term, agg, is equal to -590, and the 8th term, ag, is equal to -23.
The 29th term in the given arithmetic sequence is −170.
What is arithmetic sequence?An arithmetic sequence can be defined in one of two ways. In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term," or "each term is obtained where the differences between every two successive terms are the same." The arithmetic sequence that comes next is created by adding 4 to the term that comes before it.
Given that 89th term in an arithmetic sequence is -590
And 8th term is -23
-590 = a₁ + (89 - 1)d
-590 = a₁ + 88d
a₁ = -590 - 88d
and
-23 = a₁ + (8 - 1)d
-23 = a₁ + 7d
a₁ = -23 - 7d
Factor out a₁ in both equations
-590 - 88d = -23 - 7d
-88d + 7d = 590 - 23
-81d = 567
d = -567.81
d = −7
As we have the d lets find fist term
a₁ = -23 - 7(-7)
a₁ = -23 + 49
a₁ = 26
Now, find 29th term
a₂₉ = 26 + (29 - 1)(−7)
a₂₉ = −170
Thus, the 29th term in the given arithmetic sequence is −170.
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What do I do here please help me thank you just tell me the answer thx
Answer:
3
Step-by-step explanation:
The ratio of x to y is constant
And as you can see
X×6 = y
6×6= 36
8×6=48
10×6= 60
Therefore
X×6 =18
18÷6= 3
X=3
