Part 1)
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°
the answer is m∠A=137°
Part 2) <span>Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
we know that
</span>the property of cyclic quadrilaterals<span> for which opposite angles are supplementary
then:</span>
<span>m∠A+m∠C=<span>180<span>∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34
</span></span></span>m∠A=2x+9-------------> 2*34+9=77°
<span>
the answer is </span>m∠A=77°<span>
</span>
Answer:
a) Vertex is at (-3, -1)
b) y-intercept is at (0,8)
c) x intercept is at (-4,0) and (-2,0)
d) x=-3
Step-by-step explanation:
The vertex of a parabola is the lowest or highest point, implying that all points are reflected across it. It's the only y value that doesn't have a corresponding pair.
For example, -1 and 1, -3 and 3, and so on.
The vertex is at (-3,-1) because it is the sole point without a corresponding y value (-3,-1)
The y-intercept is where the parabola meets the y axis or when the x value equals 0. To determine the y-intercept, simply find when x = 0.
intercept y: (0,8)
The x-intercepts are the same as the y-intercepts; you must determine where the parabola crosses the x-axis or when y = 0.
x intercept 1:(-4,0)
x intercept 2: (-2,0)
The axis of symmetry is also the x coordinate of the vertex which is 3 so
x = 3
