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3 years ago

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

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

a. x = 24

b. x = 40

Step-by-step explanation:

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

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

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