2. the sum of the measures of angle x and angle yis 90. if the measure of angle xis 30 less than twice the
measure of angle y, what is the measure of angle x?
o 20°
o 35°
50°
65°

50 degrees

Step-by-step explanation:

x + y = 90

x = 2y - 30

2y - 30 + y = 90

3y - 30 = 90

3y = 90 + 30

3y = 120

y = 120/3

y = 40

x = 2y - 30

x = 2(40) - 30

x = 80 - 30

x = 50 < angle x

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

b). 4320 have a nice day