Question

tu = 4x - 1, ub = 2x - 1, tb = 5x
x =
tu =
ub =
tb =
write the segment addition postulate:
solve for each of the following:
x =
tu =

Explanation:

Step1: Apply segment addition postulate

$TU + UB = TB$

Step2: Substitute expressions

$(4x - 1) + (2x - 1) = 5x$

Step3: Simplify left side

$6x - 2 = 5x$

Step4: Solve for x

$x = 2$

Step5: Calculate TU

$TU = 4(2) - 1 = 7$

Step6: Calculate UB

$UB = 2(2) - 1 = 3$

Step7: Calculate TB

$TB = 5(2) = 10$

Answer:

x = 2
TU = 7
UB = 3
TB = 10
Write the segment addition postulate: TU + UB = TB