Question

Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical length of \overline{ST}. ST .

Answer 1

Answer:

$ST = 10$

Step-by-step explanation:

Given

$RT =4x$

$ST = 5x - 10$

$RS = 6$

Required

Determine ST

Since S is on RT, we have that:

$RT = RS + ST$

$4x = 5x - 10 + 6$

$4x = 5x - 4$

$4x - 5x= - 4$

$-x= - 4$

$x= 4$

Substitute 4 for x in $ST = 5x - 10$

$ST = 5 * 4 - 10$

$ST = 20 - 10$

$ST = 10$