Question

If RE = 4x + 7, ET = 2(3x - 4), and RT = 43, then find the value for ET.

None of the other answers are correct
18.4
24.6
4.4
44

Answer 1

B

Explanation:

RT is the combined segments RE and ET. So:

`RT=RE+ET`

We know that RT is 43, RE is (4x+7) and ET is 2(3x-4). Substitute:

`43=(4x+7)+2(3x-4)`

Solve for x. Distribute the right:

`43=4x+7+6x-8`

Combine like terms:

`43=10x-1`

Add 1 to both sides:

`10x=44`

Divide both sides by 10:

`x=4.4`

So, the value of x is 4.4.

ET is defined as 2(3x-4).

We can find ET by substituting 4.4 for x. So:

`ET=2(3(4.4)-4)=2(13.2-4)=2(9.2)=18.4`

Hence, our answer is B.