Answer:
1 - SSS
Step-by-step explanation:
We need either two sides one angle, two angles one side, or three sides to prove congruency. In this case we have 3 sides so therefore this is congruent by the SSS theorem.
Because the altitude of parallelogram is perpendicular to the base and it is the height of the parallelogram so in this way every choices B. and C. are right sure
but than you check so choice - but there is something mistake bc. you wrote two choices D. so the second what say ,,it is used in finding area of a parallelogram" is right too
hope helped
Answer:
2.8 inches each month
Step-by-step explanation:
14 divided by 5
<h3>
Answer:</h3>
5+(7+x)
<h3>
Step-by-step explanation:</h3>
Finding an Equivalent Expression
The associative property of addition states that you can move the terms that are inside the parentheses and still have the expression remain true. So, in the answer above, I moved 5 out of the parentheses and x into the parentheses. No matter the value of x the value of the expression will remain the same
Examples and Proof
Another example of the associative property could be (1+6)+3 = 1+(6+3). To prove this statement we can evaluate each side of the expression.
First, let's do (1+6)+3
Next, let's do 1+(6+3)
As you can see both of these expressions are the same, thus proving that the associative property works in this situation.
Let the square base of the container be of side s inches and the height of the container be h inches, then
Surface are of the container, A = s^2 + 4sh
For minimum surface area, dA / ds + dA / dh = 0
i.e. 2s + 4h + 4s = 0
6s + 4h = 0
s = -2/3 h
But, volume of container = 62.5 in cubed
i.e. s^2 x h = 62.5
(-2/3 h)^2 x h = 62.5
4/9 h^2 x h = 62.5
4/9 h^3 = 62.5
h^3 = 62.5 x 9/4 = 140.625
h = cube root of (140.625) = 5.2 inches
s = 2/3 h = 3.47
Therefore, the dimensions of the square base of the container is 3.47 inches and the height is 5.2 inches.
The minimum surface area = s^2 + 4sh = (3.47)^2 + 4(3.47)(5.2) = 12.02 + 72.11 = 84.13 square inches.
