Question 3(multiple choice worth 5 points) (09.02 mc) quadrilateral opqr is inscribed in circle n, as shown below. what is the measure of ∠qro? quadrilateral opqr is inscribed in circle n. angle o is labeled x plus 17 degrees, angle q is 6x minus 5 degrees, and angle r is 2x plus 19 degrees. a) 41 b) 67 c) 113 d) 139

Step-by-step explanation:

Since, If a quadrilateral is inscribed in a circle then the sum of one pair of opposite angles must be equal to 180°.

And, here quadrilateral  OPQR is inscribed in circle N.

Thus, -------(1)

And,   -------(2)

According to the question,,

And,  -------(3)

We have to find out or .

Thus, from equation (1), ⇒

Therefore, From equation (3),

⇒

A cyclic quadrilateral is a quadrilateral inscribed in a circle.

The measure of angle QRO is 67 degrees

The given parameters are:

Start by calculating the value of x, as follows:

------ opposite sides of the quadrilateral

So, we have:

Collect like terms

Divide both sides by 7

Next, we calculate the measure of angle R using:

This gives

Hence, the measure of angle QRO is 67 degrees

Read more about cyclic quadrilaterals at:

link

a rotation about point l

step-by-step explanation:

quizlet

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol