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DochEvi [55]
3 years ago
11

Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to

the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0

Answer:

SSS Theorem

x = 35.7

Step-by-step explanation:

Given

The attached triangle

Solving (a) The similarity theorem

The given sides of the triangle are similar.

In other words, they are similar by sides.

Hence, the theorem is: SSS

Solving (b): Find x

To find x, we make use of the following equivalent ratios.

\frac{14}{25} = \frac{14+6}{x}

This gives:

\frac{14}{25} = \frac{20}{x}

Cross multiply

14 * x = 20 * 25

14 * x = 500

Solve for x

x = \frac{500}{14}

x = 35.7 -- approximated

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Answer:

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If variables x and y vary directly, this is expressed as;

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Let's assume the value of x and y since we are not given;

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Substitute

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<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

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