Answer:
A) x=40°
B) They have the same lengths.
Step-by-step explanation:
Since it is an isosceles triangle, both sides are the same. So if you add up all the angles of any triangle, it should always add up to 180°. There is a 50° angle and a right angle (90°) so you subtract 50 and 90 from 180 (180-50-90) and you get 40. X has to be 40° :)
Answer:
B
Step-by-step explanation:
I just took the test.
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:

. When we do that multiplication, we have

. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.

. We can then factor out a 3 to make the job easier:

. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
Answer:
18.4 cm
Step-by-step explanation:
For this problem, you would use <em>Pythagorean Theorem </em>or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. <u>Picture the 90 degree angle as an arrow pointing to the hypotenuse.</u> In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!