Answer:
B
Step-by-step explanation:
RT is the combined segments RE and ET. So:
[tex]RT=RE+ET[/tex]
We know that RT is 43, RE is (4x+7) and ET is 2(3x-4). Substitute:
[tex]43=(4x+7)+2(3x-4)[/tex]
Solve for x. Distribute the right:
[tex]43=4x+7+6x-8[/tex]
Combine like terms:
[tex]43=10x-1[/tex]
Add 1 to both sides:
[tex]10x=44[/tex]
Divide both sides by 10:
[tex]x=4.4[/tex]
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:
[tex]ET=2(3(4.4)-4)=2(13.2-4)=2(9.2)=18.4[/tex]
Hence, our answer is B.
