The equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.
<h3>What are Opposite Angles in a Cyclic Quadrilateral?</h3>
A cylcic quadrilateral is a quadrilateral inscribed in a circle. The opposite angles are supplementary, that is they add up to give 180 degrees.
Thus, angles Q and O are opposite angles in the cyclic quadrilateral, which means they are supplementary.
Therefore, the equation to be used to calculate the measure of ∠PQR in the cyclic quadrilateral is: (6x − 4)° + (2x + 16)° = 180°.
Learn more about cyclic quadrilateral on:
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ANSWER
A=16
EXPLANATION
The radius of the circle is r=4 units.
The area of a triangle is
Both the height and the base of the triangle are radii, which is 4 units.
The area of the two isosceles right triangle is
Answer: 
Step-by-step explanation:
We are given the following formula, used to calculate the value of an used car according to the years after the car was originally bought:
Where 
is the price of the car when it was bought new, and 
is the number of years the car was used.
Solving the formula with the given data:
This is the value of the car according to the formula.
However, this value can be approximated to:
(180-x)-2(90-x)= 53
Remember that complimentary angles add to 90 and supplementary angles add to 180.
180-x-180+2x=53
x=53
Final answer: The angle is 53 degrees.
The first step for solving this expression is to move the variable -3m to the left side and then change its sign.
4 - 2m + 3m > 7
Now move the constant to the right side and change its sign.
-2m + 3m > 7 - 4
Collect the terms on the left side.
m > 7 - 4
Lastly,, subtract the numbers on the right side to get your final answer.
m > 3
Let me know if you have any further questions.
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