Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) 
2) 
3)
Answer:
For tingle #1
We can find angle C using the triangle sum theorem: the three interior angles of any triangle add up to 180 degrees. Since we know the measures of angles A and B, we can find C.



We cannot find any of the sides. Since there is noting to show us size, there is simply just not enough information; we need at least one side to use the rule of sines and find the other ones. Also, since there is nothing showing us size, each side can have more than one value.
For triangle #2
In this one, we can find everything and there is one one value for each.
- We can find side c
Since we have a right triangle, we can find side c using the Pythagorean theorem






- We can find angle C using the cosine trig identity




- Now we can find angle A using the triangle sum theorem



For triangle #3
Again, we can find everything and there is one one value for each.
- We can find angle A using the triangle sum theorem



- We can find side a using the tangent trig identity




- Now we can find side b using the Pythagorean theorem




You may notice that all of the terms have a common factor:
. So, let's take the
out of all the terms. This gives us:

Using the Zero Product Property, we can say that both
and
.
Let's solve both.
is obvious, but we still need to solve our other term:



- Apply the Zero Product Property
Our answer is x = -6, 0, 4.
Answer:
The final answer is 27.889 (Feel free to round it)
Step-by-step explanation:
3.35 x 2.14 = 7.169
7.169 + 25 = 32.169
2 x 2.14 = 4.28
32.169 - 4.28 = 27.889
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!