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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

If RE = 4x + 7, ET = 2(3x - 4), and RT = 43, then find the value for ET. None of the-example-1

1 Answer

4 votes

Answer:

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.

User Noisypixy
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