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Likurg_2 [28]
3 years ago
10

SIMILAR TRIANGLES Solve for x.

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

<h2>x = 21</h2>

Step-by-step explanation:

If ΔABC and ΔAED are similar (AAA), then coresponding sides are in proportion.

\dfrac{AB}{AE}=\dfrac{AC}{AD}=\dfrac{BC}{ED}

We have

AB=15,\ BC=x,\ AE=45,\ ED=63

Substitute:

\dfrac{15}{45}=\dfrac{x}{63}          <em>cross multiply</em>

45x=(15)(63)

45x=945          <em>divide both sides by 45</em>

x=21

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Answer:

24.02 inches

Step-by-step explanation:

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Thus, board is 24.02 inches long.

7 0
3 years ago
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Answer:

-5

Step-by-step explanation:

First, distribute the 2 to the 3, -9, and 5. You will get 6 + 6 - 18 + 10 + (-9). Then, you can start from the beginning and work through combining the terms. The original equation is in bold after every step.

6 + 6 - 18 + 10 + (-9)

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12 - 18 + 10 + (-9)

12-18 = -6

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4 + (-9)

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Answer: -5

6 0
3 years ago
What is the area of the base of a paper cone, in square inches, with a height of 15 inches and a volume of 900 cubic inches?
Mamont248 [21]

Answer:

180 sq. in.

Step-by-step explanation:

The formula for the volume of a circular cone is V = (πr^2h)/3

So, 900 = (15πr^2)/3

2700 = 15πr^2

180 = πr^2 = area of the circular base

5 0
3 years ago
How many pounds are in<br> 8 kilograms? 1 kg = 2.2 lbs<br><br> 8 kg = [?] lbs
ElenaW [278]

Answer:

17.6 lbs

Step-by-step explanation:

1kg=2.2lbs

Multiply each side by 8

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the top answer

Step-by-step explanation:

right hand Riemanns are an over approximation, so it would include higher number sets.

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3 years ago
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