State the angle pair relationship then find the value of x

x = 11

Step-by-step explanation:

The given angles are corresponding angles and are congruent, then

12x - 9 = 10x + 13 ( subtract 10x from both sides )

2x - 9 = 13 ( add 9 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15