Estelle drew two parallel lines pq and rs intersected by a transversal kl as shown below

The correct option is 1.

Step-by-step explanation:

Alternate exterior angle theorem: If a transversal line intersect two parallel lines, then the alternate exterior angles are congruent or equal.

Alternate interior angle theorem: If a transversal line intersect two parallel lines, then the alternate interior angles are congruent or equal.

Same-side interior angle theorem: If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles.

Vertical angle theorem: If two lines intersect each other, then vertical opposite angles are same.

From the given graph it is clear that the angle KMQ and angle RNL are alternate exterior angles.

                  (Alternate exterior angle theorem)

Therefore the correct option is 1.

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

18.75 gallons

step-by-step explanation: