Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
The figure is a parallelogram.
Consecutive angles are supplementary ( sum to 180° ) , then
x + 65° = 180 ( subtract 65° from both sides )
x = 115°
Opposite angles are congruent , then
y = 65°
z = x = 115°
If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.
In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.
We can use Pythagorean Theorem which states:

where a and b are the legs, and c is the hypotenuse.




c = 61.717 inches
To the nearest tenth, the answer is 61.7 inches.
Kelly will have enough time to finish before the guests arrive because 45+35 = 1 hour and 10 mins, which adds that with 11:45, it would be 12:55 when she finishes. Making it possible.
Answer:
question one C D E question two is A
Step-by-step explanation:
ax=axn to rewrite
3√27x12 as (27x12)1/3
to rewrite
3√(3x^4)3
Pull terms out from under the radical, assuming real numbers.
3X^4