Question

if: (cj = 8x + 5), (ct = 55), and (jt = 4x + 2). find (jt).

Explanation:

Step1: Use segment - addition postulate

Since $CT = CJ+JT$, we substitute the given expressions: $55=(8x + 5)+(4x + 2)$.

Step2: Simplify the right - hand side

Combine like terms: $55 = 8x+4x+5 + 2$, so $55=12x + 7$.

Step3: Solve for x

Subtract 7 from both sides: $55−7=12x$, which gives $48 = 12x$. Then divide both sides by 12: $x=\frac{48}{12}=4$.

Step4: Find JT

Substitute $x = 4$ into the expression for $JT$. Since $JT = 4x+2$, then $JT=4\times4 + 2$.
$JT=16 + 2=18$.

Answer:

18