Points A and B are midpoints of the sides of triangle QRS. Triangle Q R S is cut by line segment A B. Point A is the midpoint of side Q S and point B is the midpoint of side R S. The length of Q R is 6 meters, the length of Q A is 4 meters, the length of A B is 3 meters, and the length of R B is 3 meters. What is SA? 2 m 3 m 4 m 6 m

4m

Step-by-step explanation:

Note : midpoints divide a line into two equal parts.

To calculate the length of SA;

We can consider the large triangle QRS with

Two midpoints :

A on the line QS, QA = 4m ;

and B on the line RS with RB = 3m

Fron the definition of midpoint :

QS = QA + AS

where QA = AS

QS = 2QA = 2AS

Therefore,

QA = QS

4m = 4m

what is all that apply?

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