Question

If RT = 36, find the value of x

Answer 1

Since the entire length is 36 you subtract what lengths you know first 7 and 1 (36-7-1=28) since there are 7 x’s left over you just divide 28/7 and you get x = 4

Answer 2

If RT = 36, to find the value of x, we must first find the value of RT in terms of x and numbers. By the part-whole postulate, we know that RT = RS + ST, or 6x + 1 + x + 7, or 7x + 8. That means that RT is equal to 7x + 8. Finally, since we know that RT = 36, we know that RT = 7x + 8, we can say that 7x + 8 = 36. Solving for this gives us:

7x = 36 - 8

7x = 28

x = 4