SOLUTION: Help explain answer to question B cannot understand where the 25 = (x + 8) + 3x + 5) came from to solve this question R-----------S----------T Given that S is a point on RT

Question 669293: Help explain answer to question B cannot understand where the 25 = (x + 8) + 3x + 5) came from to solve this question
R-----------S----------T

Given that S is a point on RT, use the given lengths to calculate the following:
a. If RT = 21 and ST = 8, calculate RS.
b. If RS = 17 and ST = 34, calculate RT.
c. If RT = 25, RS = x + 8, and ST = 3x + 5, calculate ST.
d. If S is the midpoint of RT, RS = 5x − 4 and ST = 3x + 6, calculate RT.

Solution
A.Since RT = RS + ST, we have 21 = RS + 8, so RS = 21 − 8 = 13.
B
Since RT = RS + ST, we have RT = 17 + 34 = 51.
Since RT = RS + ST, we have
25 = (x + 8) + 3x + 5)
25 = 4x + 13
12 = 4x
x = 3

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

........given
, and .........given
given also that is a point which means
now substitute given values for ,, and in and you have
RELATED QUESTIONS
Factor to find the center and radius of the given equation: a) x^2+y^2-8x=65 I... (answered by richwmiller)

Consider the expression, {{{ r^s = A(t-p)^x }}} . An equivalent logarithmic expression... (answered by stanbon,MathLover1)

The formula d = r x t is used to determine distance, d given the rate, r, and the time... (answered by nerdybill)

This is one question but it is extremely long. If you can, please explain it thoroughly. (answered by ikleyn)

HELP HELP HELP!!! The formula S = C(1 + r)^t models inflation, where C = the value today, (answered by dolly)

Question regarding about Quadratic Function. This is the problem: A quadratic... (answered by nerdybill)

Question 1 please help me with this question. If the universal set U=... (answered by MathLover1)

In question #8318 can you help me understand where 40 came from in the equation. Is there (answered by bonster)

Im not sure what topic it would fall under. But here is my questions the variable x is (answered by venugopalramana)