Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
Answer:
Don't awnser the bots
Step-by-step explanation:
They will try ro scam you
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
