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What is the value of x in meters? with steps

What is the value of x in meters? with steps-example-1

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Answer: D

Explanation:

Since triangle ABC is similar to XYZ, their sides are the same but different by a constant.

As we can see, on figure XYZ, the hypotenuse is 5m, on ABC, the hypotenuse is 25m.

On ABC, the hypotenuse was mulitplied by a constant k, in which the result is 25. Hence, k must equal 5 because 5 × 5 = 25.

On XYZ, 2 m is another side that is given. If we multiply by our constant, 5, we will get 10. Therefore, the answer is D.

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User Christian Bekker
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