Answer:
<u>Option D. 53.1°</u>
Step-by-step explanation:
The rest of question is as shown in the attached figure.
It is required to find the measure of angle S
Given that : r = 12 and t = 20
We should know that : cos (∠S) = Adjacent/Hypotenuse
∴ cos (∠S) = r/t = 12/20
use the inverse cosine function.
∴S = arc-cos (12/20) ≈ 53.1°
<u>The correct answer is option D. 53.1°</u>
Y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month
Answer:
Step-by-step explanation:
Comment and Answer
This is a very well laid out proof. It would good for you to see how carefully this this proof has been set up.
Step Three says
DE = DF ÷ 2
The problem is that at least 2 of the choices will work. I think the best reason is that it is the definition of bisect. The previous statement says in language what statement three says in algebraic notation. So statement 2 is the given statement. Statement 3 tells us that DE is 1/2 DF because it is bisected.
Answer A
Answer:
x = 130 degrees
Step-by-step explanation:
angle OAC = angle OBC = 90 degrees (angle between tangent and radius = 90 degrees)
This is quadrilateral and we know that quads = 360 degrees
So...
x + 90 + 90 + 50 = 360
rearrange
x = 130 degrees
Answer:
60°
Step-by-step explanation:
There are a couple of ways to think about this.
a) If we rearrange the figure so both angle vertices are in the same place, then the marked angles would overlap. The amount of that overlap is ...
125° +115° -180° = 60°
That is, the smaller angle between the diagonal lines has a measure of 60°. The measure of i is 60°.
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b) If we extend the lower horizontal line to the left, as in the attached figure, we see that the external angle of the resulting triangle is an alternate interior angle that is congruent to the one marked 125°. The remote interior angles of the triangle with respect to that angle are "i" and (180° -115°) = 65°.
The exterior angle is the sum of the remote interior angles, so we have ...
125° = i + (180° -115°)
i = 125° +115° -180° = 60° . . . . as above