Answer:
The reference angle is 
Step-by-step explanation:
The given angle is
The reference angle is the acute angle, that a given angle makes with the x-axis.
First let us make a sketch of the given angle. <em>See diagram in attachment.</em>
Let
be the reference angle of 
Then, from the diagram, we need to subtract
from
to get to
.
We can therefore write the following equation and solve for
.

We group like terms to get,

We collect LCM to get,

We simplify to get,

We divide through by 
to get,
The correct answer is D.
Answer:
5 miles per hour
Step-by-step explanation:
Anna runs 6 1/4 miles in 1 1/4hours. What is her rate in miles per hour?
6 1/4 miles / 1 1/4 hours =
25/4 miles / 5/4 hours =
5 mph or miles per hour or miles/hour
Answer:
x =
and y = 
Step-by-step explanation:
Known that he sum of angles on a straight line is
. From the diagram;
2y + x + y = 
x + 3y =
................ 1
Also,
2x + x + 2y = 
3x + 2y =
.............. 2
Using the elimination method, multiply equation 1 by 3 and equation 2 by 1
3x + 9y = 540 ............ 3
3x + 2y =
............. 4
7y = 360
y = 
y = 
substitute the value of y in equation 1,
x + 3y = 
x + 3(51.4) = 
x + 154.2 = 
x =
- 154.2
x = 
Thus, x =
and y = 