33) Name four congruent angles that are acute angles.

Angles 2, 3 and 6,7 are acute angles

∠2≅∠3

∠6≅∠7

∠3≅∠6

∠2≅∠7

Step-by-step explanation:

Hello There!

Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle

∠2 and∠3 are vertical angles which have congruent measures

∠6 and∠7 are also vertical angles

∠3 and∠6 are alternate interior angle which are can be known for being congruent

∠2 and ∠7 are alternate exterior angles which are also congruent

so angles 2, 3, 6 and 7 are all congruent

i believe the answer is d.

hope it you! : d

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