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Harrizon [31]
2 years ago
10

Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth. Do not include "x="

in your answer.

Mathematics
1 answer:
Margaret [11]2 years ago
4 0

The square of the hypotenuse is equal to the sum of the square of other two sides. The value of x from the given diagram to the nearest tenth is 11.2

<h3>Pythaogram theorem</h3>

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 5.6 + 8.4 = 14

Other sides are x and 8.4

According to the theorem:

14^2 = x^2 + 8.4^2

x^2 = 14^2 - 8.4^2

Simplify

x^2 = 196 - 70.56
x^2 = 125.44

x = 11.2

Hence the value of x from the given diagram to the nearest tenth is 11.2

Learn moreon Pythagoras theorem here: brainly.com/question/18811544

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