In the right triangle shown, m_Y = 30 and XY = 6. Z
elin
em
umi
6
ored
30
Y
gored
How long is Y Z?

for 4x = 20 you have to use the division property of equality divide 20 by 4

for x - 11 = 9 you have to use the addition property of equality add 9 to 11

for 5x + 6x = 22 you have to combine like terms add 5x and 6x to make 11x

for 5(x – 2) = 30 you have to use the distributive property multiply 5 and x; 5 and -2

4x = 20; x = 5

x - 11 = 9; x = 20

5x + 6x = 22; 11x = 22; x = 2

5(x – 2) = 30; 5x - 10 = 30; x = 8