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Use the relationship in the diagrams below to solve for x. Show all work.

Use the relationship in the diagrams below to solve for x. Show all work.-example-1
User JanBrus
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1 Answer

4 votes

Answer:

a. x = 24

b. x = 40

Explanation:

a.

You are given a right triangle, so use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 576

x = 24

b.

The sum of the measures of all angles is 360 degrees.

x + 2x + 2x + 20 + 3x + 20 = 360

8x + 40 = 360

8x = 320

x = 40

User Snappymcsnap
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