The statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true
Given,
The statement "The distance from point X to line q is the length of the segment perpendicular to line q from X "
From the figure we can say that the distance from point X to line q is the length of the segment perpendicular to line q from X.
So the given statement is true
Hence, the statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
The distance from point X to line q is the length of the segment perpendicular to line q from X .
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two-column proof
Given: GH || FJ
m ∠ G=m ∠J=90
Prove: ΔH J F ≅ Δ F G H
We can say that ΔHJF ≅ ΔFGH under RHS condition.
What precisely is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
To Prove: ΔHJF ≅ ΔFGH
GH = FJ = (Given)∠G = ∠J = 90° = (RHS)So, ΔHJF ≅ ΔFGH under RHS condition.
(Refer the table given below)
Therefore, ΔHJF ≅ ΔFGH
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Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run
7
77 kilometers per hour!" and Cameron says "I can run
100
100100 meters per minute!"
Which one is faster?
The person who is faster is Jeff.
How to illustrate the information?Jeff says "I can run 7 kilometers per hour!.
On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"
It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.
Therefore, the person who is faster is Jeff.
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James makes 9x +6 per hour and Jimmy makes 3(2x + 15) per hour. How many hours must James
work to have more money than Jimmy?
Answer:
13 hours to earn the same amount and 14 hours to earn more
Step-by-step explanation:
The data below is going to be plotted on a
line graph. Part of the grid is shown.
a) How many squares wide does the grid
need to be so that the data fits on the graph?
b) If the grid is 20 squares tall, then what
number should replace A to give the vertical
axis the best scale for plotting the data?
Time since start Distance from start
(minutes)
(km)
0
0
5
0.5
10
1.2
15
1.5
20
1.4
25
1.7
30
1.1
35
0.8
Distance from start (km)
A
0 5 10 15
Time since start (minutes)
(a )7 squares wide grid
(b) If the grid is 20 squares tall, then
number should replace A to give the vertical
axis the best scale for plotting the data . A = 0.1
According to the data,
(a) x = 35 one square represents five {calculate the width
there need 7 compartment in x axis. proportionally}
so the answer is 7 square wide
(b) The largest value of distance from store is 1.9 km
the grid is 20 square tall {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}
so A = 0.1
The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.
What is the Grid Method of multiplication?The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.
Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:
- have a solid understanding of times tables;
- can multiply any number by 10;
- can multiply one-digit numbers by multiples of 10 (for example, 6 x
20, 8 x 70 and so on);
- can multiply two multiples of 10, (for instance, 40 x 90);
- can reliably add four numbers, some of which are three-digit.
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(a )7 squares wide grid
(b) If the grid is 20 squares tall, then
number should replace A to give the vertical
axis the best scale for plotting the data . A = 0.1
According to the data,
(a) x = 35 five squares are represented by one; determine the width.
In the X axis, 7 compartments are required. proportionally}
the response is 7 square broad.
(b) 1.9 km represents the furthest distance from the store.
When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.
so A = 0.1
When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.
What is the multiplication grid method?
When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.
Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:
- possess a firm grasp of the times tables;
- is capable of ten times any number;
- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).
8, 20, and so forth);
- is capable of multiplying two multiples of 10, such as 40 x 90;
— able to add four numbers, some of which are three digits, with reliability.
Solve each system by elimination or substitution.
2x + 4y = -8 , -5x + 4y = 6
The solution of the given system of equations is (-2, -1)
A system of equation can be solved using:
graphical methodsubstitution methodelimination methodThe given system of equations:
2x + 4y = -8 ............ (1)
-5x + 4y = 6 .............. (2)
Since the coefficients of y is the same in both equations, variable y will be immediately cancelled out if we use elimination method.
Substract equation (2) from equation (1)
2x + 4y = -8
-5x + 4y = 6 –
7x = -14
x = -2
Substitute x = -2 into equation (1):
2x + 4y = -8
2. (-2) + 4y = -8
-4 + 4y = -8
Add 4 to both sides
-4 + 4y + 4 = -8 + 4
4y = -4
y = -1
Hence, the solution is (-2, -1)
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Stuck, need help please.
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.
The value of the angle x is equal to 53°
What is the Measure of the angle?
A) From the image attached, we can solve for the angles as follows;
m ∠RPB = 180 - 115 = 65°
Thus, the angle m∠x = 180° - 65° - 62°
= 53°
B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).
Second line:
The 3 angles x, 62 and 65 degrees are all on the same straight line (AB), so they sum to 180 degrees.
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Find the vertex, focus, and the directrix of each parabola. y=x² +6 x+5
For the given parabola:
We have the following data.
Vertexv = (-3,-4)
Focusf = (-3, -3.75)
Directrixd = y = -4.25
We define what a parabola is
What is a parabola?The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The canonical equation of a parabola is given by
(x - h)² = 4p(y - k)
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
The parabola equation is:
y = x² + 6x + 5
y - 5 + 9 = x² + 6x + 9
y + 4 = x² + 2(3x) + 3²
y + 4 = (x + 3)²
This means that the vertex of this parabola is
v = (h, k)
v = (-3,-4)
4p = 1p = 1/4f = (-3, -4 + 1/4)
f = (-3, -3.75)
Directrixd = y = -4 - 1/4
d = y = -4.25
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Simplify each complex fraction. 1/x y - 1/y² / 1/x²y - 1/x y²
The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) = x
In this question,
we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²
We need to simplify given complex fraction.
First we simplify numerator.
1/x y - 1/y²
= y² - xy / xy³
= y(y - x) / xy³
= y - x / xy²
Now we simplify denominator.
1/x²y - 1/x y²
= xy² - x²y / x³y³
= xy(y - x) / x³y³
= y - x / x²y²
So given fraction would be,
1/x y - 1/y² / 1/x²y - 1/x y²
= y - x / xy² / y - x / x²y²
= (y - x / xy²) × (x²y² / y - x )
= x²y² / xy²
= x
Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x
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Noah enlarges a photograph using the scale 1 inch : 4 inches. Explain why the area of the enlarged photograph will not be 4 times the area of the original.
The area of the enlarged photograph will be 16 times the area of original photograph.
What is defined as the scale?Scale is a ratio which defines the relation between the size of a model as well as the actual dimensions of a figure or object.Once we draw a physical image on paper, we have been using a scale to accurately describe our measurements. A scale of 1:5 signifies that the size of one unit in the picture represents five units in reality.For the given scale in the question;
Noah enlarges a photograph using the scale 1 inch : 4 inches.
Let the original length of photograph is 'L'.
Let the original width of photograph is 'B'
Old Area = LB
Thus, the length and width of the scale will get increased by 4 times.
The new length and width will be 4L and 4B.
Thus, the new area will be;
New Area = (4L)(4B)
New Area = 16 LB
New Area = 16 × (old area)
Thus, the new area of the photograph is increased by 16 times.
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A school has a total of 900 pupils .400 pupils are boys and the rest of the girls.find the ratio of boys to girls .give the ratio in the simplest form
If a school has a total of 900 pupils and 400 pupils are boys and the rest are girls, then the ratio of the boys to the girls in the simplest form is 4:5.
A ratio in mathematics can be defined as the number of times a number contains another number or is contained in another number to express the connection between two or more things in quantity or size.
To find the ratio of boys to girls, first, we calculate the number of girls in the school. The number of girls can be found by subtracting the total number of pupils which is 900 from the number of boys which is 400.
Hence,
number of pupils that are girls = total number of pupils - number of boys
number of pupils that are girls = 900 - 400
number of pupils that are girls = 500
Hence the ratio of boys to girls can be given as,
400 : 500
Simplifying,
400/100 : 500/100
4:5
Hence, the simplest ratio of boys to girls is 4:5.
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Write the equation of a line that goes through (8,-3)
Horizontal line-
Vertical line-
I actually need help please explain not just answers. Is it just x=8 and y=-3?
Answer:
yes!
Step-by-step explanation:
that is the solution above
Write a negation for each statement:
1. All squares are rectangles
2. There exists a segment that has no midpoint
Answer:
1. There exists at least one square that is not a rectangle.
2. Every segment has a midpoint.
Step-by-step explanation:
1.The given statement is: "All squares are rectangles". We have to find the negation of the statement. The statement that gives the negative meaning of the given statement is called the negation of the given statement. So the negation of the given statement is, "There exists at least one square that is not a rectangle".
2.Every segment has a midpoint.
Simplify:
c3c2hhch
Write your answer with only positive exponents.
Answer:
[tex]c^6h^3[/tex]
Step-by-step explanation:
Simplify[tex]hhh=h^3\\c^3c^2h^3c\\c^3c^2c\\ccc = c^3\\=c^{3 \cdot 2}\\=c^6\\=c^6h^3[/tex]
if angle SXW = 5x-16, find the value of x so that SX is perpendicular to W (I'm in iss thank God for the good men and women of brainly)
The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.
What is the value of a variable associated with two perpendicular lines?
In accordance with geometry, two lines are perpendicular to each other if and only if the measure of the angle between the two lines is equal to 90°. Then, the angle SXW must be equal to 90° and we need to solve for x in the following equation:
5 · x - 16 = 90
5 · x = 106
x = 106 / 5
The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.
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help me ............................,...........................................................
The values to the nearest tenth are:
a. 1. 43
b. 26. 41
c. 11. 69
d. 4. 57
e. 15. 77
How to determine the valuesGiven the equations;
a. 4. 186 - 2. 758
Find the difference
1. 428
1. 43
b. 72. 05 - 45. 64
Find the difference
26. 41
c. 82. 156 - 41. 31 - 29. 16
Find the difference
11. 686
11. 69
d. 17. 054 - 11. 65 - 0. 83
Find the difference
4. 574
4. 57
e. 29. 16 - 12. 48 - 0. 91
Find the difference
15. 77
Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77
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If it takes 4 workers 21 hours to paint how many hours will it take 12 workers?
Answer:
63 hours
Step-by-step explanation:
4 workers = 21 hours
12 workers = g
[tex] \frac{21}{4} \times 12 \\ = 63hours[/tex]
i need help bad because my teacher didn't even teach this to my class and make sure its correct
Based on the information, it can be inferred that the number that is the change in height of the elevator is 12 feet.
How to complete the table?To complete the table we must take into account the height of the elevator at a given time of seconds. Additionally, we must take into account that the elevator goes down 12 ft every second. So the table would look like this:
12 × 3 = 36180 - 36 = 14412 × 6 = 72180 - 72 = 10812 × 9 = 108180 - 108 = 72What is the height of the basement with respect to the first floor?
To calculate the height of the basement with respect to the first floor, we must take into account the following information:
Every second the elevator descends 12ft.The elevator takes 4 seconds to go down from the first floor to the basement.To calculate this height we must multiply the time it takes for the elevator to go down to the basement by the distance it travels each second.
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find x when y is -1. y= -7/8x+17
Answer:
x is 20.57
Step-by-step explanation:
-1 minus 17 is -18. -18 divided by -7/8 is 20.57
Answer:
Step-by-step explanation:
-7/8x+17=-1
Now we need to find what +17 = -1
-1 - 17 = -18
Now we find out how many times -7/8 go into -18
-18 / (-7/8) = 20.57412857
So x = 20.57412857
As a fraction, that would be 144/7
Hope this helps ^^
Water molecules can form hydrogen bonds with each other because they are ____________ molecules.
Water molecules forming hydrogen bonds with one another. The partial negative charge on the O of one molecule can form a hydrogen bond with the partial positive charge on the hydrogens of other molecules. Water molecules are also attracted to other polar molecules and to ions.
CAN YOU PLEASE ANSWER EACH QUESTION JUST PUT THE ANSWER DOWN THATS ALL NO EXPLAINING JUST ANSWERS IM STRUGGLING
Answer:
Q.17 9 2/5
Q.18 5
Q.19 13
Step-by-step explanation:
A human hair has an average diameter of 2.5 * 10 ^ - 5 meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation.
(A) 2 × 10 ^ 3
(B) 2 × 10 ^ 5
(D) 10 ^ - 3
(C) 2 × 10 ^ 6
===========================================
Explanation:
Let's find the width of the microscope slide in meters.
1000 mm = 1 m
1 mm = 1/1000 m
1 mm = 0.001 m
50*(1 mm) = 50*(0.001 m)
50 mm = 0.05 m
50 mm = 5 × 10^(-2) m
The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.
5 × 10^(-2) ÷ 2.5 × 10^(-5)
(5/2.5) × 10^(-2 - (-5) )
2 × 10^(-2 + 5)
2 × 10^3
This converts to the number 2000. So we could have 2000 strands of hair side by side.
Answer:
(A) 2 * 10^3.
Step-by-step explanation:
50 millimeters = 0.05 m
= 5 * 10^-2 meters.
So, we divide this by the diameter of 1 hair:
= (5 * 10^-2) / (2.5 * 10 ^ - 5)
= (5/2.5) * (10/^-2 / 10^-5)
= 2 * 10^(-2-(-5))
= 2 * 10^3.
You invested money in a fund and each month you receive a payment for your investment. Over the first four months, you received $ 50, $ 52, $ 55 , and $ 59 . If this pattern continues, how much will you receive in the tenth month?c. Explain the difference between an explicit formula and a recursive formula. Use your formula from part (a) as part of your explanation.
Money received in tenth month: $104
Difference between explicit formula and a recursive formula is: the use of (n-1)th term, nth term and the common difference (d) brings a great difference between the two formulae of an arithmetic progression.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
Money received in first four months: $50, $52, $55, %59.To find: Money received in tenth month.
Finding:
As we can see, the pattern followed here is: increment in each amount received each month by $1. Thus it is an arithmetic progression.
That is: 50, 52 (0+2), 55 (2+3), 59 (2 + 3 + 4) and so on.
Thus, for the tenth month, we can use the formula of recursion, given by: [tex]a_n=a_{n-1}+n[/tex], n ≥ 1.
For a₁ = 50, a₂ = a₁ + 2
=> a₂ = 50 + 2
This way, a₅ = a₄ + 5
=> a₅ = 59 + 5 = 64
a₆ = a₅ + 6
=> a₆ = 64 + 6 = 70
a₇ = a₆ + 7
=> a₇ = 70 + 7 = 77
a₈ = a₇ + 8
=> a₈ = 77 + 8 = 85
a₉ = a₈ + 9
=> a₉ = 85 + 9 = 94
a₁₀ = a₉ + 10
=> a₁₀ = 94 + 10 = 104
Thus, the payment received in tenth month will be $104.
(b) Difference between explicit formula and recursive formula of an arithmetic progression:
The first term of a recursive formula is a₁ and the formula for the nth term uses the first term and the common difference, d. One example of a recursive formula is [tex]a_n=a_{n-1}+d[/tex]. A formula for the nth term in an explicit formula would include the initial term a₁, the common difference d, and the term number, n. The equation [tex]a_n = a_1 + (n-1)d[/tex].To learn more about arithmetic Progressions, refer to the link: https://brainly.com/question/6561461
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dos someone mind helping me with this? Thank you!
Answer:
50.24
Step-by-step explanation:
d equals 2r r=4 four squared equals 16 16 * π = 50.24
Simplify by combining like terms. 5+(4 g-7)
By combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2
Given,
The expression = 5+(4g-7)
Expand the terms by opening bracket
5+(4g-7)=5+4g-7
Rearrange the terms
5+4g-7= 4g+5-7
Combine like terms
4g+5-7= 4g-2
Hence, by combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2
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GEOMETRY HONORS
Answer Options:
Valid: Law of Detachment
Valid: Law of Syllogism
No Valid Conclusions
All questions(17-21) must be answered, thank you all so muchhh
16. Valid
Reason: congruency can be represented by the symbol ≅ hence the statement still reads <1 and <2 are congruent.
17. Invalid
Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.
18. Valid
Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.
19. Valid
Reason: The conclusion of the battery dying is in support of the premise giving which is leaving the light on when the car is off.
20.Valid
Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment
21. Valid
Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club
What are valid arguments?An argument is vailed when the premises or conditions of the argument are all true. when some part of the argument is not true then it will lead to invalid conclusion.
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If a manufacturer sells x units of a certain product, his revenue R and cost C (in dollars) are given by the following. R = 7x C = 1000 + 2x + 0.001x2 Use the fact that profit = revenue − cost to determine how many units the manufacturer should sell to enjoy a profit of at least $1250.
Using factorization, In order to have at least $1250 profit, manufacturer should sell the product between $4500 and $500.
Given,
Revenue (R) = 7x
Cost (C) = 1000 + 2x + 0.001x²
Profit ≥ $1250
Using factorization,
⇒ profit = revenue − cost
⇒ Profit= 7x - 1000 - 2x - 0.001x²
⇒ 7x - 1000 - 2x - 0.001x² >= 1250
⇒ 5x - 0.001x^2 >= 2250
⇒ 0.001x^2 - 5x <= - 2250
⇒ 0.001x^2 -5x + 2250 >= 0
multiplying 1000 on both sides
⇒ 1000x^2 - 5000x + 2250000 > = 0
⇒ x(x - 500) - 4500(x - 500) >=0
⇒ (x- 500) + (x - 4500) >= 0
⇒ x = 500, 4500
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Which linear equation has no solution? clear submit 23(9x 6)=6x 4 5x 12=5x−7 4x 7=3x 7 −3(2x−5)=15−6x
The linear equation which has no solution is 5x+12=5x-7
Given set of linear equations are:
23(9x+6)=6x+4, 5x+12=5x-7, 4x+7=3x+7, -3(2x-5)=15-6x.
We try to solve each equations one-by-one.
Consider the first equation:
23(9x+6)=6x+4
⇒207x+138 = 6x+4
⇒201x = -134
⇒ x =-134/201.
So this linear equation has a solution.
Now consider the second linear equation:
5x+12=5x-7
⇒12 = -7, which has no meaning.
Therefore, this linear equation has no solution.
Now consider 3rd linear equation:
4x+7=3x+7
⇒x = 0
It has a solution.
Consider the 4th linear equation:
-3(2x-5)=15-6x.
⇒ -6x+15=15-6x
⇒ 0=0
In this case, any value for x is a solution. So there are infinitely many solutions.
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Factor this quadratic completely. (Write step by step please)
[tex]Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}[/tex]
Answer: 2x^2+3x-35=(x+5)(2x-7)
Step-by-step explanation:
[tex]2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)[/tex]
Find the sum of -4x^{2}-3x-3−4x
2
−3x−3 and -4x^{2}-9x−4x
2
−9x.
The sum of two given expressions will be -
h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex].
We have two expressions.
We have to add them.
What is Expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation in it.
According to the question -
f(x) = [tex]-4x^{2} -3x^{-3} -4x[/tex]
g(x) = [tex]-4x^{2} -9x -4x[/tex]
Now -
h(x) = f(x) + g(x) = [tex]-4x^{2} -3x^{-3} -4x[/tex] + ( [tex]-4x^{2} -9x -4x[/tex])
h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex]
Hence, the sum of two given expressions will be -
h(x) = [tex]-3x^{-3} -8x^{2} -17x[/tex]
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If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence
aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.
What is Sequence and example ?
A sequence is a list of elements that has been arranged in a certain way. As an illustration, 3, 7, 11, 15,... is a sequence because it follows a pattern in which each phrase is produced by adding 4 to the one before it.The recursive relation for a geometric sequence is
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
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