Estelle drew two parallel lines, PQ and RS, intersected by a transversal KL, as shown below: Which fact would help Estelle prove the measure of angle KMQ is equal to the measure of angle MNS?

When both angle KMQ and angle MNS are equal to angle RNM, the angles KMQ and MNS are congruent.

When same-side, consecutive interior angles QMN and PMN are complementary, the angles KMQ and MNS are congruent.

When alternate interior angles QMN and MNR are supplementary, angles KMQ and MNS are congruent.

When both angles KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

answer: no

step-by-step explanation:

you are only given the cost not the amount of pounds.