Question

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

Explanation:

Step1: Apply 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 $JT=4\times4+2=16 + 2=18$.

Answer:

18