The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.
The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.
In any triangle, the interior angles' measures add up to 180 degrees. So we have
? + 93 + (180 - 128) = 180
? + 93 - 128 = 0
? = 128 - 93
? = 35
Answer: 
Step-by-step explanation:
Pythagorean theorem: 
, where a and b are the legs and c is the hypotenuse.
We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.
Since we don't know what 
is, we're going to isolate it by subtracting 81 on both sides
We have to square root both sides in order to find out b (or x in the problem).
When you put this on a calculator it would result in which is the answer d in the problem.
Answer: 90 per each is you want how much money is needed in total that is 47.20 dollars
Step-by-step explanation:
<span>-16x^3+4x=0
-4x(4x^2 - 1) = 0
-4x(2x+1)(2x - 1) = 0 (factor using a^2 - b^2 = (a+b)(a-b))
-4x = 0; x =0
2x +1 = 0;x = -1/2
2x - 1 =0; x = 1/2
answer: x = 0, x = 1/2 and x = -1/2</span>
