If the mFT 3x - 2 and the mFE = 5x + 1, Find x and mTE. (GT is median)
Please get back to me soon, I'll give Brainliest!​

If the mFT 3x 2 and the mFE 5x 1 Find x and mTE GT is medianPlease get back to me soon Ill give Brainliest class=

Respuesta :

Answer:

x = 5

TE = 13

Step-by-step explanation:

Since GT is the median, then 2*(FT) = FE.

FE = 5x + 1

FT = 3x - 2

Therefore:

2*(3x - 2) = 5x + 1 (substitution)

6x - 4 = 5x + 1

Collect like terms

6x - 5x = 4 + 1

x = 5

TE = ½*(FE)

TE = ½*(5x + 1)

Plug in the value of x

TE = ½*(5(5) + 1)

TE = ½(25 + 1) = ½(26)

TE = 13