Answer:
g(q) = ![\frac{5q}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5q%7D%7B8%7D)
Step-by-step explanation:
Given
- 7q + 12r = 3q - 4r
Rearrange making r the subject
Add 7q to both sides
12r = 10q - 4r ( add 4r to both sides )
16r = 10q ( divide both sides by 16 )
r =
=
, thus
g(q) = ![\frac{5q}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5q%7D%7B8%7D)
It’s is 20,0000 but it think that’s wrong
Answer:
x=20 and y=70/3
Step-by-step explanation:
We know triangle DEF is similar to triangle HJG. So:
- DE is similar to HJ
- EF is similar to JG
- FD is similar to GH.
We know:
- DE=9, which is similar to 15
- EF=14, which is similar to y
- FD=12, which is similar to x
The ratio of DE:HJ=EF:JG=FD:GH. We know DE:HJ=9:15=3:5, now we can find x and y:
- DE:HJ=9:15=3:5
- EF:JG=14:y=3:5, so y is 70/3 because 14=42/3 and 42/3:70/3=3:5 as 42=14•3 and 70=14•5
- FD:GH=12:x=3:5, so x is 20