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Angle pwm is equal to angle pkm

Wm = (x+3) and km = 2(x-3).
What is the length of wk?
A 12
B 18
C 24
D 9
Pls help !!

Angle pwm is equal to angle pkm Wm = (x+3) and km = 2(x-3). What is the length of-example-1
User Carlo Nyte
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2 Answers

5 votes
I think it is boring c
User Alan Peabody
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5 votes

Answer: 24 (choice C)

Assuming M is a midpoint of KW, this means that WM and KM are congruent

WM = KM

x+3 = 2(x-3) ... substitution

x+3 = 2x-6

2x-6 = x+3

2x-6-x = x+3-x .... subtract x from both sides

x-6 = 3

x-6+6 = 3+6 ... add 6 to both sides

x = 9

Use x = 9 to find the length of WM

WM = x+3 = 9+3 = 12

Which can be used to find the length of KM as well

KM = 2(x-3) = 2(9-3) = 2(6) = 12

both lengths are the same (12) as expected

This makes WK to be

WK = WM + KM

WK = 12 + 12

WK = 24

User SAMIR RATHOD
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