The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x. I need the equation used to find 540 and the solution please (x=) .

x = 23°

Step-by-step explanation:

Looking at the diagram above, we can see that it is Pentagon.

The sum of interior angles in a Pentagon (5 sides polygon) = 540°

This is because in a Pentagon, from the vertex we can draw 2 diagonals that would result in 3 triangles.

Sum of angles in a triangle = 180°

Hence, the sum of angles in a Pentagon = 3 × 180°

= 540°

Hence,

540° = 85° + 5x° + 5x° + 5x + 5° + 5x - 10°

540° = 85° + 5° - 10°+ 5x° + 5x° + 5x° + 5x°

540° = 80° + 20x°

540° - 80° = 20x°

460° = 20x°

x° = 460/20

x = 23°

Therefore, the value of x = 23°

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)

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35