(^^ look at the picture above)

1. what is the value of x?

2. what is the value of y?

3. what is the value of z?

!

(whoever gives an answer with an explanation fast, gets brainliest! )

x = 81

y = 99

z = 129

Step-by-step explanation:

for x we know triangle angles add up to 180

so x + 51 + 48 = 180

x= 180 - 51 - 48 (by moving 51 and 48 to the right)

x= 81

for y it is on a straight line with x

straight lines are 180 degrees

x + y = 180

81 + y = 180 (since we know x)

y = 180 - 81 (move 81 to the right)

y = 99

for z its also on a line which is 180

z + 51 = 180

z = 180 -51

z = 129

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

fd

step-by-step explanation: