Answer:
The measure of angle 6 is 72.
The measure of angle 7 is 108.
Step-by-step explanation:
Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.
If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.
Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x


∵ cos (60°) = 1/2

Dividing both sides by 2

Simplify

Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵ 
Therefore, the value of y is:
Summary:
Answer:
2
Step-by-step explanation:
Answer:
The coordinates of B is (5,-2)
Step-by-step explanation:
In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

Let (x1,y1) be A (-3,-6),
Let (x2,y2) be B,
Let midpoint be M (1,-4),







