Find the value of x in each case:

You can set up an equation for the large triangle made up of the smaller ones by knowing that the total interior angles must sum to 180°. We also can know that angle RPN is also 78° by the geometric law of alternate interior angles. Therefore you know that the angles to sum up are 2x, 2x (which comes from x + x), and 78°.

2x + 2x + 78 = 180

4x + 78 = 180

4x = 102

x = 25.5°

*note, there are many ways to solve this

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²