contestada

Point Tis on line segment SU. Given ST = 4x – 4,
TU = 4.x – 10, and SU = 5x + 1, determine the numerical length
of TU.

Respuesta :

calculista

Answer:

[tex]TU=10\ units[/tex]

Step-by-step explanation:

we know that

Point T is on line segment SU (between point S and point U)

so

[tex]SU=ST+TU[/tex]-----> by addition segment postulate

substitute the given values and solve for x

[tex]5x+1=(4x-4)+(4x-10)[/tex]

[tex]5x+1=8x-14[/tex]

[tex]8x-5x=1+14[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Find the length of TU

[tex]TU=4x-10[/tex]

substitute the value of x

[tex]TU=4(5)-10[/tex]

[tex]TU=10\ units[/tex]