Hi!
<u>Your answer is 52.</u>
To start off, let's start with some facts that will help us solve this:
<u><em></em></u>
<u><em>Supplementary angles</em></u> are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
<u><em>Triangles (all of them)</em></u> have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
Therefore, x is equal to 52.
Answer: B
Step-by-step explanation:
First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
Answer:
....................
Step-by-step explanation:
