How many solutions does have?
1/2 ( 2p + 9 ) = -p + 5

Step-by-step explanation:

P + 4.5 = - p + 5

Bringing like terms on one side

P + p = 5 - 4.5

2p = 0.5

p = 0.5/2 = 0.25

In my opinion the answer is one solution

1 solution.

Step-by-step explanation:

1/2(2p + 9) = -p + 5

lets solve for p

1/2 * 2p + 1/2 * 9 = -p + 5

1p + p + 9/2 = - p + p + 5

2p + 9/2 = 5

Multiply by 2 on both sides to get rid of the fraction 9/2.

4p + 9 = 10

4p = 1

p = 1/4

Therefore, there is only 1 solution.

You can now check by plugging in 1/4 for p in the original equation.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq