Find x.
find the measurement of angle b
find the measurment of angle c

x = 3, ∠ B = 70°, ∠ C = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ADC is an exterior angle of the triangle , then

15x + 5 + 22x + 4 = 120 , that is

37x + 9 = 120 ( subtract 9 from both sides )

37x = 111 ( divide both sides by 37 )

x = 3

Thus

∠ B = 22x + 4 = 22(3) + 4 = 66 + 4 = 70°

∠ C = 15x + 5 = 15(3) + 5 = 45 + 5 = 50°

597

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)