22. Multi-Step The figure shows a map of five streets that meet at Concord Circle. The measure of the angle formed by Melville Road and Emerson Avenue is 118°
The measure of the angle formed by Emerson Avenue and Thoreau Street is 134º.
Hawthorne Lane bisects the angle formed by Melville Road and Emerson Avenue.
Dickinson Drive bisects the angle formed by Emerson Avenue and Thoreau Street.
What is the measure of the angle formed by Hawthorne Lane and Dickinson Drive?
Explain your reasoning.

(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

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

but there’s no any figure there!