Find the measure of the angle and name the angle pair 1.) x+69 and x+121
2.) 8x+2 and 9x-9
solve for x and name the angle pair
3.) 115* and x+125
4.) 120* and x+127
5.) x+106 and 103*
6.) 11x+6 and 50*
7.) 11x+3 and 10+10x
8.) x+105 and 100*
9.) -7+17x and 16x
10.) 18x+2 and 19x-4

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

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step-by-step explanation: