4vwfcgzu7i 4vwfcgzu7i

25-02-2021
Mathematics

contestada

For the pair of similar triangles, find the value of x.
2x-4
39
x+6
24

For the pair of similar triangles find the value of x 2x4 39 x6 24 class=

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rorycampbell0721 rorycampbell0721

25-02-2021

Answer:

x= 20

Step-by-step explanation:

set up a proportion:

(2x - 4)/24 = 39 / (x + 6)

(2x - 4)(x + 6) = 936

2x^2 + 8x - 24 = 936

x^2 + 4x - 12 = 468

x^2 + 4x - 480 = 0

(x - 20)(x + 24) = 0

x= 20, -24

has to be positive so x = 20

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