If N is in the interior of ZMPO, find mZNPO if mZMPN= 57° and mZMPO = 81º.
A. 24°
B. 43°
C. 91°
D 138°

A

Step-by-step explanation:

m∠MPN + m∠NPO = m∠MPO

m∠MPN is an acute angle. Because it's 57°, less than 90°

m∠AOC is 81° , so it's an acute angle, like m∠MPN

To find m∠NPO , just subtract m∠MPN from m∠MPO

81° = 57° + m∠NPO

m∠NPO = 81° - 57°

m∠NPO = 24°

Option A

So, m∠NPO is an acute angle. Because it's 24°, less than 90°

more about angles: Right angle = exactly 90° , Straight angle = exactly 180°, Full angle = exactly 360°

Hope this helps ^-^

you answer is a

step-by-step explanation:

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