Answer:
![\dfrac{2+3}{3}=\dfrac{x+y}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%2B3%7D%7B3%7D%3D%5Cdfrac%7Bx%2By%7D%7By%7D)
C is correct
Step-by-step explanation:
Given: ![\dfrac{2}{3}=\dfrac{x}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7Bx%7D%7By%7D)
We need to choose correct option which is equivalent to given equation.
![\dfrac{2}{3}=\dfrac{x}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7Bx%7D%7By%7D)
Add both sides 1
![\dfrac{2}{3}+1=\dfrac{x}{y}+1](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%2B1%3D%5Cdfrac%7Bx%7D%7By%7D%2B1)
Taking LCD and simplify it
![\dfrac{2+3}{3}=\dfrac{x+y}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%2B3%7D%7B3%7D%3D%5Cdfrac%7Bx%2By%7D%7By%7D)
Hence, ![\dfrac{2}{3}=\dfrac{x}{y}\Rightarrow \dfrac{2+3}{3}=\dfrac{x+y}{y}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7Bx%7D%7By%7D%5CRightarrow%20%5Cdfrac%7B2%2B3%7D%7B3%7D%3D%5Cdfrac%7Bx%2By%7D%7By%7D)
Answer:
The answer to your question is FJ = 18
Step-by-step explanation:
Data
FG = 30
FH = 12
HE = 8
JH ║GE
These triangles are similar, so we can use proportions to find the length of FJ.
![\frac{FJ}{FH} = \frac{FG}{FH + HE}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7BFH%7D%20%3D%20%5Cfrac%7BFG%7D%7BFH%20%2B%20HE%7D)
Substitution
![\frac{FJ}{12} = \frac{30}{12 + 8}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7B12%7D%20%3D%20%5Cfrac%7B30%7D%7B12%20%2B%208%7D)
Simplification
![\frac{FJ}{12} = \frac{30}{20}](https://tex.z-dn.net/?f=%5Cfrac%7BFJ%7D%7B12%7D%20%3D%20%5Cfrac%7B30%7D%7B20%7D)
Solve for FJ
![FJ = 12 \frac{30}{20}](https://tex.z-dn.net/?f=FJ%20%3D%2012%20%5Cfrac%7B30%7D%7B20%7D)
Result
FJ = 18
Answer:
d
Step-by-step explanation:
Solution by substitution method
y=7x+8
∴y-7x=8
and y=x+20
∴y-x=20
Suppose,
-7x+y=8→(1)
and -x+y=20→(2)
Taking equation (1), we have
-7x+y=8
⇒y=7x+8→(3)
Putting y=7x+8 in equation (2), we get
-x + 7x + 8 = 20
6x = 20-8
6x = 12
x= 12 / 6
x = 2
substitute for x in equation (3)
y = 7(x) + 8
y = 7(2) + 8
y = 22
Answer:
B. AA similarity postulate