Answer:

Step-by-step explanation:
This shape is called a rectangular prism. The formula for finding the volume of this prism is: 
All you do is plug the values into the formula.
The length is 2m
The width is 1m
the height is 5m
Volume = (2m)(1m)(5m)
Volume = 
Two angles are said to be complementary, if the sum of the two angles is 90 degrees.
Given that the measure of angle SWT is 50 degrees, thus, the measure of the complementary angles will be 90 - 50 = 40 degrees.
From the diagram, the measure of angle USP is 40 degrees, hence it is a complement of angle SWT.
Recall that the angle on a straight line is equal to 180 degrees, thus the sum of the measures of angles USP, WST and TSV is 180 degrees.
i.e. mUSP + mWST + mTSV = 180 degrees
40 + 100 + mTSV = 180
mTSV = 180 - 140 = 40 degrees.
Hence angle TSV is complementary to angle SWT.
Therefore, the complementary angles to angle SWT are angle USP and angle TSV.
Answer:
100
Step-by-step explanation:
it is a bit unclear to me, what that problem description means.
if I understand it correctly, than z is directly depending on x².
so, z = 16 for x = 2. x² = 4
I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).
I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²
that would mean
z = 4×x² = 4×5² = 4×25 = 100
Answer: 36
Step-by-step explanation:
By the triangle midsegment theorem, CE=16, CD=10, and ED=10.
So, the perimeter of triangle CDE is 10+10+16=<u>36</u>
8b - 1 = 24b + 4
8b - 1 + 1 = 24b + 4 + 1
8b = 24b + 5
8b - 24b = + 5
-16 = + 5
-5/16
Answer: b = -5/16