Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
We know that,
two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.
ATQ,
angle x lies on a line same as the other given angle which is intersected by an another line ,
hence,
x = 52°Solve by factorisation
2x²+3x-20=0
Answer:
x=5/2 x=-4
Step-by-step explanation:
2x^2+3x-20 = (2x-5)*(x+4)
2x-5 = 0 x=5/2
x+4 = 0 x=-4
Answer: X= -4
Step-by-step explanation:
Help me please like plase
Answer:
Adjacent angles.
Step-by-step explanation:
a and b are next to each other on a straight line.
Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.
Answer:
The area of sector is 4.71mi^2
Step-by-step explanation:
The area of the sector that Marla needs to remove is (3/2)π square feet.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.
We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.
Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.
We are given that;
Central angle = 60°
The radius of the circle = 3 feet.
Now,
To find the area of the sector that Marla needs to remove, we can use the formula:
A = (θ/360)πr^2
where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).
Plugging in the values we know, we get:
A = (60/360)π(3)^2 A
= (1/6)π(9) A
= (3/2)π
Therefore, the area of the fabric will be (3/2)π square feet.
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I need help giving crown
Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
Have an amazing day!!
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Identify the z* critical value for constructing a confidence interval for one proportion using these confidence levels. You can reference the t distribution table to answer this question.
Enter each answer to 3 decimal places.
90% confidence:
95% confidence:
99% confidence:
The 90% confidence, 95% confidence and 99% confidence have a z critical value of 1.65, 1.96 and 2.58 respectively.
What is z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
From the normal distribution table:
The z critical value for 90% confidence, 95% confidence and 99% confidence is 1.65, 1.96 and 2.58 respectively.
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Answer:
90% confidence:
1.645
95% confidence:
1.960
99% confidence:
2.576
Step-by-step explanation:
EDGE2022
Jessa has $23 that she wants to divide equally among her 5 children. How much money will each receive?
Answer:
23 /5=4.6
4 3/5
4 6/10
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
Answer:
500,000,000,000 + 800,000,000 + 2,000,000 + 9,000 + 600 + 10 + 2
Step-by-step explanation:
To write a standard form number into an expanded form, we must look at the amount of numbers at each 'place' in the number.
Hundred-Billions --> 5 Hundred-Thousands --> 0
Ten-Billions --> 0 Ten-Thousands --> 0
Billions --> 0 Thousands --> 9
Hundred Millions --> 8 Hundreds --> 6
Ten Millions --> 0 Tens --> 1
Millions --> 2 Ones --> 2
Answer: five hundred billion eight hundred two million nine thousand six hundred twelve.
Step-by-step explanation:
500,000,000,000=five hundred billion
800,000,000=eight hundred million
2,000,000=two million
9,000=nine thousand
600=six hundred
10=ten
2=two
Find the value of this expression if x = 3.
x2 + 3/X
Answer:
7
Step-by-step explanation:
Help me answer this please:)
Answer:
A and B
Step-by-step explanation:
[tex]\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2[/tex]
Now, look at your answer choices, which options are less than or equal to -2?
x ≤ -2, Check your answers:
A. -3 ≤ -2?
This statement is correct (-3 is < -2)
B. -2 ≤ -2 <== our original answer
This statement is correct (-2 is = to -2)
C. -1 ≤ -2
This statement is incorrect (-1 is > -2, not ≤ -2)
D. 0 ≤ -2
This statement is incorrect (0 is > -2, not ≤ -2)
E. 1 < -2
This statement is incorrect (1 is > -2, not ≤ -2)
Therefore, the correct options are A and B
Hope this helps!
A figure was flipped over the y-axis and then
enlarged three times the original size. Which
transformations were use
a.) reflection over y-axis b.) translation
C.) dilation
d. rotation
Answer:
Below.
Step-by-step explanation:
a) reflection over y-axis.
b) dilation.
Which statement is true about the discontinuities of the function f(x)?
f(x)=x+1/6x^2-7x-3
There are asymptotes at x=3/2 and x=-1/3
There are holes at x = 3/2 and x = -1/3
There are asymptotes at x = -3/2 and x = 1/3
There are holes at x = -3/2 and x = 1/3
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:A There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
A Domino's large pizza is usually $10. With a coupon, you can get a large Domino's pizza for only $6. What is the percent decrease in the price of a large pizza at Domino's with the coupon?
Answer:
The percent decrease or discount she received was 40%
Step-by-step explanation:
I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?
Answer:
A river
Explanation;
A river has a "bed," they have a "mouth," and they "run."
what does the length equal?
Answer:
23.2 inches
Step-by-step explanation:
[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]
What is the solution to this system of equations?
Those equations in the corner are, y = x -4. y = -0.5x + 8
Answer:
x=8, y=4
(8,4)
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
x - 4 = -0.5x + 8
x = -0.5x + 12
1.5x = 12
15x = 120
x = 8
plug x back into one of the first equations, and you get
y = 4.
(8,4)
There are 70
70
days in ten weeks.
Based on the mean from the sample, how many more guests will stay at the small hotel than at the bed and breakfast in a 10
10
-week period?
Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.
How many more guests will stay at the small hotel than at the bed and breakfast?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50
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Answer:
315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
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At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:
S = 7.75 x 70 = 542.5
At the bed and breakfast, the mean was of 3.25 guests per night, hence:
B = 3.25 x 70 = 227.5.
The difference is given by:
S - B = 542.5 - 227.5 = 315.
Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a total weight of 173 kilograms. Delivery of 3 large boxes and 2 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Weight of each large Box: ?
Weight of each Small Box: ?
Answer:
x = 18.5 (large) , y = 6.25 (small)
Step-by-step explanation:
Let's start by assigning variables to each type of box.
The large box we will call "x"
The small box we will call "y"
We know that 8x + 4y = 173 (kilograms)
And 3x + 2y = 68 (kilograms)
Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.
8x + 4y = 173
3x(-2) + 2y(-2) = 68(-2)
-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)
Add equations together:
2x = 37
x= 18.5
Now that we have x, just substitute it into any of the equations to get y.
You will see that y = 6.25
Please mark this brainliest, and I hope this helps!
I need help with this please
Step-by-step explanation:
The answer is class 1!!!!!
What is the sum (2 x 1016) + (7 1016) in scientific notation
Answer:9x1016
Step-by-step explanation:
when adding or subtracting in standard form (aka scientific notation), the powers of 10 need to be the same. If they are just add the numbers and keep the same power of 10
#2xx10^(16)+7xx10^(16)
= ( 2 + 7 ) × 10 16
9 × 10 16
What was the upper quartile of the number of newspaper deliveries?
Answer:
45
Step-by-step explanation:
It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left
Answer:
67.5 is the upper quartile
If a=2 and c=4, evaluate (a+2c)/a-2c
What is the answer for this math problem?
Answer:
9 feet
Step-by-step explanation:
v = lwh (volume equals length times width times height)
75.6 = 4 x 2.1 x d
multiply l and w, which is 4 x 2.1
75.6 = 8.4 x d
divide 75.6 by 8.4
9 = d
Answer:
The value of j is 9feet
Step-by-step explanation:
[tex] \hookrightarrow \sf \: v = whl[/tex]
⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]
⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]
Step 1: Simplify both sides of the equation.
⇒[tex] \sf {75.6=8.4j}[/tex]
Step 2: Flip the equation.
⇒[tex] \sf {8.4j=75.6}[/tex]
Step 3: Divide both sides by 8.4.
⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]
⇒[tex] \sf {j=9}[/tex]
Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. given this information, determine the amount needed in her account in order for her to reach her goal. round to the nearest cent. a. $801,263.20 b. $866,442.02 c. $885,503.75 d. $1,213,299.,90
The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
What is the amount of a fixed period payment to be done to pay off the loan amount which is increasing compoundly?Suppose we're given that:
[tex]P_v[/tex]= Present value of the loan amountr = rate of interest (compound interest) per period of timen = number of period of time in which loan is to be paid offP = A fixed period payment needed to be done for paying off the loan in n number of periods.Then, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]
Why do we need this loan paying formula?
It is because we can simulate this situation with above condition.
Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars
The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022
That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.
We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).
Putting values in the aforesaid formula, we get:
[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]
Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.
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The other person is correct! The answer is B: $866,442.02.
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Have a great day and God bless! :D
Adriana uses models to compare two decimal numbers. She says 0.53 is greater than 0.7 because 53 > 7.
A square partitioned into one hundred equal parts with fifty three parts shaded. To the right is a square partitioned into ten equal parts with seven parts shaded.
Which of these explains Adriana's mistake? (3 points)
a
Adriana incorrectly compared hundredths to tenths. She should compare 53 hundredths to 70 hundredths.
b
Adriana incorrectly compared tenths. She should compare 5 hundredths to 3 hundredths.
c
Adriana incorrectly shaded the models. She should shade seven more hundredths.
d
Adriana incorrectly counted the number of shaded parts in the models. She should compare 6 shaded parts to 7 shaded parts.
Answer:
A is your answer.
Step-by-step explanation:
.7 is the same as .70 and .70 is to the left of .53, indicateing that she incorrectly compared the hundreths to the tenths.
Mr. Smith sold 2 homes last week. The first house sold for $225,000 and the second house sold for
$175,000. He earns a 3% commission on his total sales. How much did Mr. Smith earn?
Answer:
$ 12 000.
Step-by-step explanation:
(175 000 + 225 000) * .03 =
The box-and-whisker plot below
represents some data set. What is the value of the first quartile?
Answer: 77 is right.
Step-by-step explanation:
In the given box-and-whisker plot, the value of first quartile is 85.
What is a box and whisker plot?A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.
From the given box and whisker plot,
Minimum=77
Maximum=92
First Quartile=85
Median=87
Third Quartile=89
Therefore, in the given box-and-whisker plot, the value of first quartile is 85.
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Johnny wants to go to his friends house. Johnny is located at (0, 0) and Johnny's friends lives at (5, 7). If each line on the graph represents one mile, which of the following must johnny do to get to his friends house?
A. Go East for 5 miles then North for 7 miles.
B. Go West for 5 miles then North for 7 miles.
C. Go East for 5 miles then South for 7 miles.
D.Go West for 5 miles then south for 7 miles.
Answer:
A
Step-by-step explanation:
The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.
(16.05 MC)
What two attributes have been used to sort these shapes?
Two groups of shapes, group A and B. Group A has three shapes. The first shape is a quadrilateral with two right angles and one pair of parallel lines, the second shape is a square, and the third shape is a rectangle. Group B has three shapes. The first shape is a quadrilateral that has two pairs of sides equal in length and no right angles, the second shape is a parallelogram with no right angles, and the third shape is a quadrilateral with two pairs of sides equal in length but no right angles and no parallel lines.
Shapes with perpendicular sides and shapes without perpendicular sides
Shapes with parallel sides and shapes without parallel sides
Shapes with equal sides and shapes with unequal sides
Shapes with equal angles and shapes with unequal angles
what is correct
Answer:
(a) Shapes with perpendicular sides and shapes without perpendicular sides
Step-by-step explanation:
This appears to be a reading comprehension problem, along with a requirement that you recognize squares and rectangles have right angles and pairs of parallel equal-length sides.
__
The group descriptions are very careful to say that the members of Group B have no right angles. Members of both groups have equal-length sides and parallel lines, so those are not distinguishing criteria.
The relevant attribute for sorting appears to be right angles/no right angles.
What is the order from least to greatest 1/5 1/10 0.5
Answer:
1/10
1/5
0.5
Explanation:
1/10 = 0.1
1/5 = 0.2
