Question

1. find su

s • 10 • t x - 7 • u
2x - 7
find su (enter only the numerical part of your answer)

Explanation:

Step1: Set up equation based on segment - addition postulate

Since $SU=ST + TU$, we have $2x - 7=10+(x - 7)$.

Step2: Simplify the right - hand side of the equation

$2x - 7=10+x - 7$, which simplifies to $2x - 7=x + 3$.

Step3: Solve for $x$

Subtract $x$ from both sides: $2x-x-7=x - x+3$, getting $x-7 = 3$. Then add 7 to both sides: $x=3 + 7=10$.

Step4: Find the length of $SU$

Substitute $x = 10$ into the expression for $SU$ which is $2x-7$. So $SU=2\times10-7=20 - 7=13$.

Answer:

13