breonicajackson breonicajackson
  • 19-02-2021
  • Mathematics
contestada

Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8

Select the correct equation and correct answer to solve for x using the triangle below Q L K 2x 15 R Р P 2x 8 class=

Respuesta :

srkyo
srkyo srkyo
  • 19-02-2021

Answer:

11

Step-by-step explanation:

LK = 1/2RP

theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.

LK = 2x - 15 ; RP = 2x - 8

2x - 15 = 1/2(2x - 8)

2x - 15 = 2x - 8/2

2x - 15 = x - 4

Collect like terms and simplify

x = 11

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