Question

Point S is between R and T on RT. Use the given information to write an equation in terms of x. Solve the equation. Then find RS and ST. RS = 2x + 8 ST = 4x + 11 RT = 73

Answer 1

RT = 6x + 19 , x = 9

Explanation:

Given that Point S is between R and T on RT and RS = 2x + 8 ST = 4x + 11 then

RT = RS + ST

= 2x + 8 + 4x + 11

rearrange

= 2x + 4x + 8 + 11

= 6x + 19

Given that RT = 73

Substitute into the equation

6x + 19 = 73

collect like terms

6x = 73 - 19

= 54

Divide both sides by 6

x = 54/6

= 9