Question

Can someone let me know the steps to work this problem out?

Answer 1

The triangles are similar, so we can form the proportion below
\(\large \frac{11}{38.5} = \frac{x+2}{3x+8}\)
Cross multiply to get
\(\large 11(3x+8) = 38.5(x+2)\)
then distribute
\(\large 11(3x)+11(8) = 38.5(x)+38.5(2)\)
\(\large 33x+88 = 38.5x + 77\)
Do you see how to solve for x?

Answer 2

oh i got everything right up until
33x+88=38.5x+77

how do i solve that? i got x=2 which is obviously not right lol

Answer 3

x = 2 is correct.

It leads to
AC = 3x+8
AC = 3*2+8
AC = 6+8
AC = 14

Answer 4

ohhh i'm not sure why i skipped that step lol my brain is fried. thanks for pointing that out

Answer 5

Here's how to get x = 2

33x+88=38.5x+77
33x+88-77=38.5x+77-77 ... subtract 77 from both sides
33x+11 = 38.5x
33x+11-33x = 38.5x-33x .... subtract 33x from both sides
11 = 5.5x
5.5x = 11
5.5x/5.5 = 11/5.5 ....... divide both sides by 5.5
x = 2

Answer 6

yup got that

Answer 7

i just completely missed the step of plugging it into AC lol

Answer 8

I gotcha, yeah that happens to me a lot as well

Answer 9

i was like WTH how theyd get 14 and was reworking it hahaha

Answer 10

thanks again

Answer 11

no problem