Answer:
b
Step-by-step explanation:
Answer:
x = 3 or -3
Step-by-step explanation:
So you have the equation x² - 9 = 0
Move the 9 to the other side: x² = 9
Then take the square root of both sides:
= ±![\sqrt{9}](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D)
x = ±
= ±3
x = 3 or -3
Start with the 3 then move on
The measure of angle A is 65°
Explanation:
Given that ABCD is a quadrilateral inscribed in a circle.
The measure of angle A is ![\angle A=(2x+1)^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%282x%2B1%29%5E%7B%5Ccirc%7D)
The measure of angle B is ![\angle B=148^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%3D148%5E%7B%5Ccirc%7D)
The measure of angle D is ![\angle D=x^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20D%3Dx%5E%7B%5Ccirc%7D)
We need to determine the measure of angle A.
Since, we know that the angles B and D are opposite angles and the opposite angles of a quadrilateral add up to 180°
Thus, we have,
![\angle B+\angle D=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20B%2B%5Cangle%20D%3D180%5E%7B%5Ccirc%7D)
Substituting the values, we have,
![148^{\circ}+x=180^{\circ}](https://tex.z-dn.net/?f=148%5E%7B%5Ccirc%7D%2Bx%3D180%5E%7B%5Ccirc%7D)
![x=32^{\circ}](https://tex.z-dn.net/?f=x%3D32%5E%7B%5Ccirc%7D)
Thus, the value of x is 32°
Substituting the value of x in the measure of angle A, we get,
![\angle A=(2x+1)^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%282x%2B1%29%5E%7B%5Ccirc%7D)
![\angle A=(2(32)+1)^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%282%2832%29%2B1%29%5E%7B%5Ccirc%7D)
![\angle A=(64+1)^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%2864%2B1%29%5E%7B%5Ccirc%7D)
![\angle A=65^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
Thus, the measure of angle A is 65°