10)
6y - 16 = 4y + 6
2y = 22
y = 11
11)
2x + 5x + 5 = 180
7x + 5 = 180
7x = 175
x = 25
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.
<h3>What is the Law of Cosine?</h3>
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
As per the law of cosine, the measure of angle x can be written as,

Hence, the value of x is 117.8°. thus, the correct option is A.
Learn more about the Law of Cosine:
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Answer:
35
Step-by-step explanation:
Since all the angles are the same in this triangle, all the sides should be the same too.
Hence, 3x - 5 = 4x - 30
5 + -1x = -30
-1x = -35
x = 35
Hope this helped!
Answer:
The Alternate Interior Angles Theorem
Step-by-step explanation:
hope i helped