Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
So,
x + y = 117
y = x + 1
x + x + 1 = 117
Collect Like Terms
2x + 1 = 117
Subtract 1 from both sides
2x = 116
Divide both sides by 2
x = 58
y = x + 1
y = 58 + 1
y = 59
The 2 consecutive integers are 58 and 59.
Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:

Solve for <em>x: </em>
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Use a calculator (make sure you're in Degrees Mode!). Hence:

Our answer is C.
Answer:
-3/4 is the slope.
Step-by-step explanation:
Use this formula to find slope.
y2-y1/x2-x1
PLUG IN
-2 -1/2- (-2) = -3/4
The slope is -3/4
12 is B. You because the graphs slope is 1. 13 is A 7 I think.