You make use of the relationships between angles in a circle, and the relationships between angles in a triangle. You are expected to know or have ready reference to the necessary relationships.
Upper Left.
.. x is the base angle of an isosceles triangle whose apex angle is twice 63°.
.. x = 27°
Upper Right.
.. x is supplementary to 73°.
.. x = 107°
Lower Left.
.. x is complementary to 50°.
.. x = 40°
Lower Right.
.. x is supplementary to twice the angle partially shown at the right side of the image. (The central angle between the radii to the tangent points is twice the angle partially shown. The angle to the radius at each point of tangency is 90°, and the sum of the 4 angles in the quadrilateral is 360°. Hence the relationship described in the first sentence.)
Answer:
The line should go through 0 (the origin)
Step-by-step explanation:
The slope is (1,2)
(Go up one, two to the right)
All the equations can be graphed and solved by graphing. They can also be solved using various other methods
Answer:
Step-by-step explanation:
We need to find the value of 
.
C stands for combination.
The formula of combination is as follows :
Here,
n = 19 and r = 1
So,
So, the value of is 19.
When it hits the ground the height would be 0.
Set h to 0 and solve for t ( time)
0 = -16t^2 + 112t + 144 divide both sides by -16:
T^2 -7t -9
Factor the polynomial :
( t- 8.1) (t+1.1
Solve for t setting each equation to 0:
T = 8.1 or t = -1.1
Time has to be positive, so the answer is
8.1 seconds
Depending on how everything gets rounded it could also be 8 seconds.
