In the figure below, what is the value of xº?

62

Step-by-step explanation:

180 - 100 = 80 is the measure of the angle on the bottom right. This is because the angle at the bottom right corner of the triangle is straight.

Since the sum of the angles of a triangle is 180 then to get the value of x we do:

180 - (80 + 38) = 62

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

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