Plz help and explain.

A

Step-by-step explanation:

We know that MN = MQ, which makes triangle MNQ an isosceles triangle. By definition, then, ∠MQR = ∠MNR and the height from the vertex of the triangle (point M) to the base (QN) is perpendicular and bisects ∠QMN. In other words, ∠QMR = ∠NMR = 36°.

Now, since QMR is a triangle, all three angles add up to 180, so we can find the angle MQR:

∠MQR = 180 - 36 - 90 = 54°

Now, since PQ = NO, we can say that PQNO is an isosceles trapezoid, so by definition, ∠PQN = ∠ONQ. And, since ∠MQR = ∠MNR = 54° and ∠MNO = 125, we can find ∠PQN = ∠ONQ:

∠PQN = ∠ONQ = 125 - 54 = 71°

Since PQRS is a quadrilateral, by definition, all angles will add up to 360. So, we have:

∠PQR + ∠QRS + ∠RSP + ∠SPQ = 360

71 + 90 + 90 + ∠SPQ = 360

∠SPQ = 109

Since ∠SPQ is the same angle as ∠OPQ, the answer is A.

answer: 819.89 miles across america

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.