Question

In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint

of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
А.
W
T
V
Answer:
Submit Answer

Answer 1

the answer is 18

Step-by-step explanation: I unfortanutley got it wrong by listen to the dude that said it 34 but it's 18

Answer 2

`TV = 34`

Explanation:

WX = 23 – 2x,

TV = 64 – 10x,

First, create an equation you will use to find the value of x.

Thus:

`WX = (1)/(2)(TV)` (midsegment theorem of a ∆)

`23 - 2x = (1)/(2)(64 - 10x)` (substitution)

`23 - 2x = (1)/(2)(64 - 10x)`

Multiply both sides by 2

`(23 - 2x)*2 = (1)/(2)(64 - 10x)*2`

`46 - 4x = 64 - 10x`

Collect like terms

`46 - 64= 4x - 10x`

`-18= -6x`

Divide both sides by -6

`3 = x`

`x = 3`

Find TV:

`TV = 64 - 10x`

Plug in the value of x

`TV = 64 - 10(3) = 64 - 30`

`TV = 34`