The angle where the letter S is which would be angle RSQ = 1/2 x (131 +43) = 87
the angle opposite os RSQ would be PST and that would equal the same as RSQ which is 87
so 2 angles = 87 +87 = 174
so the other 2 angles need to equal 360 - 174 = 186
since opposite angles equal each other divide that by 2 so 186 / 2 = 93
so both angle RST and PSQ are 93
The answer is D 93 degrees
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:



Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33

y = 49
So the y coordinate of the vertex is 49.
Hope this helps!