What is measure of angle r?

enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.

°
p q r is a right triangle. q is a right angle. p q is equal to five centimeters, q r is equal to twelve centimeters and p r is equal to thirteen centimeters.

The measure of angle R is

Step-by-step explanation:

we know that

In the right triangle PQR

The cosine of angle R is equal to divide the adjacent side angle R by the hypotenuse

so

substitute the values

see the attached figure to better understand the problem

b

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5