Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
Solve for <em>x</em>. Therefore:
Our answer is D.
Answer:
45
Step-by-step explanation:
Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.
m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1
The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.
m(arc)EVL + m(arc)EHL = 360
m(arc)EVL = 360 - m(arc)EHL Eq. 2
We are given this:
m<EYL = (1/3)m(arc)EHL Eq. 3
Substitute equations 2 and 3 into equation 1.
(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]
Now we have a single unknown, m(arc)EHL, so we solve for it.
2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]
2m(arc)EHL = 1080 - 6m(arc)EHL
8m(arc)EHL = 1080
m(arc)EHL = 135
Substitute the arc measure just found in Equation 3.
m<EYL = (1/3)m(arc)EHL
m<EYL = (1/3)(135)
m<EYL = 45
Answer:
Then, the area of the right angle triangle AED is 84in^2.
Step-by-step explanation:
The triangle AED is a right angle triangle
And the area of a triangle is given as
Area=1/2base ×height
The base is 14in
And the height is 12in
Then,
Area=1/2base ×height
Area = 1/2 ×14 ×12
Area = 84in^2
Then, the area of the right angle triangle AED is 84in^2.
Explanation:
All values in the x-column get filled with -2.
The graph is the vertical line, x = -2.
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You are told x=-2. There is nothing to figure out. The value of y is irrelevant.
That equation describes a vertical line. The points on the line have x-coordinate -2, and any (every) y-coordinate.
