Answer:
<u>y = -1 (x) -1</u>
Step-by-step explanation:
If you plug in the numbers from the coordinates into the equation, you will find that it's true.
-1 is x and 0 is y. Plug in the #s like so:
y = -1 (x) -1
0 = -1 (-1) - 1
0 = 1 - 1
0 = 0
Therefore, the equation above represents the line that passes through both these points.
Answer:
The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.
Step-by-step explanation:
let x be the first angle then the the second angle is x - 18 and the third angle = x + 10
The 3 angles add up to 180 so:
x + x - 18 + x + 10 = 180
3x = 180 + 18 - 10 = 188
x = 188/3 = 62 2/3 degrees.
x - 18 = 44 2/3
x + 10 = 72 2/3.
Step-by-step explanation:
5:3=35
5=35×3
5=105
5÷105=0.05
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
