Respuesta :

cos(x) = 12/13 ≈ 0.9231  ⇒  x ≈ 22.62°  ← to the nearest hundredth.

The measure of angle x in the right angle triangle to the nearest hundreth is 22.62 degrees.

What is a right angle triangle

A right angle triangle is a triangle that has one of it's angles as 90 degrees.

Using trigonometric ratio, the value of x can be found as follows:

cos x = adjacent / hypotenuse

Therefore,

adjacent side = 12

hypotenuse side = 13

Hence,

cos x = 12  / 13

x = cos⁻¹ 0.92307692307

x = 22.6198649595

x = 22.62°

learn more on right triangle here: https://brainly.com/question/3770177

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