What is the length of AC ?

Answers

Answer 1

Answer: Triangles ABC and CDE and similar with ABC being dilated larger. This means we can use ratios to help solve for x, and then solve fo AC.

$(84)/(156-x) = (7)/(x)$
$(84x)/(156-x) = 7$
$84x = 7(156 - x)$
$84x = 1092 - 7x$
$91x = 1092$
$x = 12$
So, from this problem we now know that x is equal to 12. We merely need to plug that into what is given for AC and solve for AC.
AC = 156 - 12
AC = 144
Therefore, A is equal to 144.

Answer 2

Answer:

Answer:

A. 144 is the answer

Step-by-step explanation:

I took the CST

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Gabriel saves 40% of his monthly paycheck for college. He earned $270 last month. How much money did Gabriel save for college?

Answers

Answer:

108

Step-by-step explanation:

To determine what he will save, take the amount of his paycheck and multiply by the savings rate

Savings = paycheck * savings rate

Savings = 270 * .40

Savings = 108

Answer:

108

Step-by-step explanation:

40/100 = x/270

40 x 270 = 10,800

10,800 = 100x

Divide by 100

X =108

40% of 270 is 108 so

Can someone show me how to do Mean absolute deviationWhat is the means-to-MAD ratio of the two data sets, expressed as a decimal?
Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

Answers

To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
$\mu=\frac{10.7+2.4}2=\frac{13.1}2=6.55$
For the second set:
$\mu=\frac{13.7+2.5}2=\frac{16.2}2=8.1$

To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
For the first set:
$MAD=\frac{|10.7-6.55|+|2.4-6.55|}2=\frac{4.15+4.15}2=\frac{8.3}2=4.15$
For the second set:
$MAD=\frac{|13.7-8.1|+|2.5-8.1|}2=\frac{5.6+5.6}2=\frac{11.2}2=5.6$
Note that when you only have two data points the mean is directly between them, which is why the distances are the same.

The means-to-MAD ratio is simply that, divide one by the other and that's it.
For the first set:
$6.55/4.15=1.57831325$
For the second set:
$8.1/5.6=1.44642857$

The front tent is 8 feet and 5 feet tall what is the part of the tent

Answers

well if u think about it 8*5= 40ft ²

The colors in a ballon bouquet are 3/10 green, 2/10 yellow, and 5/10 red. What fraction of the ballon bouquet is red or yellow?

Answers

You have to add the top numbers but keep the bottom number the same.

2/10 + 5/10 = 7/10

2/10 + 5/10 = 7/10
The fraction of the balloon bouquet is red or yellow is 7/10

Is 3 yards bigger than 21 feet is 21 feet bigger than 3 yards

Answers

No because 21 ft equals 7 yd
which us bigger than 3 yd

Exactly since 21 ft is equal to 7 yds and 7 yards is more than 3yd

You can only draw one unique isosceles triangle that contains an angle of 75° right?

Answers

- - Correct. You can draw several unique isosceles
triangle that contains an angle of 75°.

True. You could draw some isosceles triangle's with an angle of 75°.

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