Answer:
10.5
Step-by-step explanation:
The exterior angle is supplementary to the adjacent angle (they form a linear pair) and is the sum of the two angles in the triangle that are not adjacent to it. For example, in number 2, the exterior angle is 28+40=68 degrees. You can use the other method to check. 68 degrees is supposed to be in a linear pair with 112 degrees, which it is. So the answer to number 2 would be 68 degrees.
Try doing this for the rest of them
(3,4) (9,7)
to find the slope
m = (y2-y1)/(x2-x1)
= (7-4)/(9-3)
3/6
1/2
The slope is 1/2
point slope form
y-y1 = m(x-x1)
y-4 = 1/2(x-3)
distribute
y-4 = 1/2x -3/2
add 4 to each side
y = 1/2 x -3/2 + 4
y = 1/2 x -3/2 + 8/2
y = 1/2 x + 5/2
this is in slope intercept form
Answer:
d= -6
Step-by-step explanation:
56 = -8d + 8
1) You want to get d by itself. Subtract 8 from both sides.
56 = -8d + 8
- 8 - 8
<em>(8 - 8 = 0, and 56 - 8 is 48.)</em>
48 = -8d
2) Then, you divide my -8 on both sides.
(<em>48 / -8 is -6, and -8d / -8 is just d.)</em>
-6 = d
So, d = -6
Answer:
The trigonometric ratios are presented below:
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
If 
and 
, then the trigonometric ratios are presented below:
