Answer:
1 = 128 degrees
2 = 52 degrees
3 = 47 degrees
4 = 133 degrees
5 = 81 degrees
Step-by-step explanation:
angle 2 and 52 degrees are corresponding angles so they are equal.
angle 3 and 47 degrees are corresponding angles so they are equal.
angles 1 and 2 are supplementary angles so their sum is 180 degrees.
angles 3 and 4 are supplementary angles so their sum is 180 degrees.
angle 5 = 180 - 52 - 47 = 81 degrees
Option C:
We can find the value of PR using law of cosines.
Solution:
Given data:
∠Q = 18°, r = 9.5, p = 6.0
To find which length could be find in the triangle:
Law of cosines:

Substitute a = q, b = r, c = p and A = Q

If we substitute the values given, we can find q.
q = PR

Hence we can find the value of PR using law of cosines.
Option C is the correct answer.
Answer: 
Step-by-step explanation:
A direct variation equation has the form:

Where <em>k</em> is a constant.
By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.
Then, knowing that <em>y</em> is the dependent value and <em>x</em> the independent value and the constant <em>k=4, </em> you can write the following direct variation equation that represents the situation.

Answer:
B
Step-by-step explanation:
These numbers form an addition and subtraction, fact family.
4, 6, 10
Choose the fact family formed by these numbers.
A.
10 – 6 = 4
10 – 6 = 4
4 + 6 = 10
4 + 6 = 10
B.
10 – 6 = 4
10 – 4 = 6
4 + 6 = 10
6 + 4 = 10
C.
4 + 6 = 10
10 – 6 = 4
D.
6 + 4 = 10
10 – 4 = 6