(09.02 MC)

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle R? You must show all work and calculations to receive credit.

Measure of angle R = 137°

Step-by-step explanation:

Since quadrilateral OPQR is inscribed inside a circle.

Therefore, OPQR is a cyclic quadrilateral.

By the property of cyclic quadrilateral, sum of opposite angles of the cyclic quadrilateral is 180°.

m∠R + m∠P = 180°

(3y + 8) + y = 180

4y + 8 = 180

4y = 172

y =

y = 43°

Therefore, m∠R = (3y + 8) = (3×43 + 8)

                  m∠R = 137°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

i can you with this question sweetie!

step-by-step explanation: