Maria drew two parallel lines, kl and mn, intersected by a transversal pq, as shown below:

which fact would maria prove the measure of angle krq is equal to the measure of angle msq?

alternate interior angles krs and rsn are equal, and consecutive angles krs and krp are complementary.

alternate interior angles lrs and rsn are equal, and vertical angles rsn and msq are supplementary.

vertical angles msq and rsn are equal, and alternate interior angles krs and rsn are equal.

vertical angles lrs and krp are equal, and same-side, consecutive interior angles prl and lrs are equal.

C.Vertical angles MSQ and RSN are equal, and alternate interior angles KRS and RSN are equal

Step-by-step explanation:

We are given that

KL and MN are parallel lines and transversal line PQ intersect the line KL at R and MN at S.

We have to find the fact which would help Maria prove the measure of angle KRQ is equal to the measure of angle MSQ.

Reason: vertical angles are equal

Reason: Alternate interior angles are equal

Therefore,

Hence, option C is true.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2