Quadrilateral opqr is inscribed inside a circle as shown below. write a proof showing that angle o and q are supplementary

In the circle, we can see that angle O and angle Q are both inscribed angles which intercepts an arc. Angle O intercepts arc RQP while angle Q intercepts arc ROP. The measure of each angle is measured to be one half of its intercepted arc, that is: 

m ∠ O = m (arc PQR/2)
m ∠ Q = m (arc POR/2)

However we can also see that arcs RQP and ROP together make up the entire circle which has 360 degrees.

arc PQR + arc POR = 360°

therefore dividing both sides by 2:
arc PQR/2 + arc POR/2 = 180°

Then:
m ∠ O + m ∠ Q =  m (arc PQR/2) + m (arc POR/2) = 180°

∠ O + ∠ Q = 180° are supplementary

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

cut 138 centimeters off

step-by-step explanation:

250-112 = 138