Nthe diagram, mq = qp = po = on. if np is greater than mp, which must be true? segment op is longer than segment mq. segment mn has the same length as segment mp. the measure of angle q equals the measure of angle o. angle o is larger than angle q.

Correct choice is D

Step-by-step explanation:

Consider attached diagram, where MQ = QP = PO = ON.

Option A is false, because segment OP is equal to segment MQ (given).

Option B is false, because segment MN has length that depends on the placement of points M and N (segment MN can be greater than segment MP, can be smaller than segment MP).

Option C is false, because if the measure of angle Q equals the measure of angle O, then by the cosine law, MP=NP but this statement is not true (given MP<NP).

Option D is true, because the side that is opposite to the greater angle is greater and you know that MN>NP, then the measure of angle O is larger than the measure of the angle Q.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17