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9) help me pls I have the ANSWERS I just need to show the WORK

How would you “find “x” in the diagram?

Answer: D

9) help me pls I have the ANSWERS I just need to show the WORK How would you “find-example-1
User Alexsandro
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1 Answer

12 votes

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Step-by-step explanation:

We have to assume the triangle is a right triangle.

In a 30°-60°-90° right triangle the side lengths have the ratio ...

short side : long side = 1 : √3

This lets you write the proportion ...

x/15 = 1/√3

Multiplying by 15 gives ...

x = 15/√3 . . . . . . matching choice D

__

There are other ways to get there. One of them is ...

x = 15·tan(30°) = 15/√3

User Ran Rubinstein
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6.9k points