The volume of one pyramid pop is 19.5
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Answer:
![\angle DFE = \angle DFG](https://tex.z-dn.net/?f=%5Cangle%20DFE%20%3D%20%5Cangle%20DFG)
Step-by-step explanation:
Given
See attachment for complete question
Required
What makes DEF and DGF congruent
We have:
--- this is indicated by the single line on both sides
Also:
--- both triangle share same side
For SAS to be true;
2 sides and 1 angle must be equal in either triangles
So far, we have:
---- S
---- S
The additional to complete the proof is:
---- angle between the above sides
A simple way to turn this into an equation is by replacing the words with letters:
1464B = 3/4 S
Then you have to remove the 3/4 from the right side of the equation. You can do this by dividing both sides by 3/4:
1464 / 3/4 = S
Then you have to do the sum:
1464
/ 3
= 0488
488
X 4
= 1952
There are 1952 students.
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Answer:
![2(n - 9) \leqslant 15](https://tex.z-dn.net/?f=2%28n%20-%209%29%20%5Cleqslant%2015)
Step-by-step explanation:
Twice the difference means:
![2(x - x)](https://tex.z-dn.net/?f=2%28x%20-%20x%29)
the difference of a number and 9 means:
![(n - 9)](https://tex.z-dn.net/?f=%28n%20-%209%29)
is at most 15 means:
![\leqslant 15](https://tex.z-dn.net/?f=%20%5Cleqslant%2015)
Marta got the expression
![2x\cdot x^2 + 2x\cdot x + 2x\cdot (-2) + 3\cdot x^2 + 3\cdot x + 3\cdot (-2).](https://tex.z-dn.net/?f=2x%5Ccdot%20x%5E2%20%2B%202x%5Ccdot%20x%20%2B%202x%5Ccdot%20%28-2%29%20%2B%203%5Ccdot%20x%5E2%20%2B%203%5Ccdot%20x%20%2B%203%5Ccdot%20%28-2%29.)
First, note that
![2x\cdot x^2=2x^3,\\2x\cdot x=2x^2,\\2x\cdot (-2)=-4x,\\3\cdot x^2=3x^2,\\ 3\cdot x=3x,\\3\cdot (-2)=-6.](https://tex.z-dn.net/?f=2x%5Ccdot%20x%5E2%3D2x%5E3%2C%5C%5C2x%5Ccdot%20x%3D2x%5E2%2C%5C%5C2x%5Ccdot%20%28-2%29%3D-4x%2C%5C%5C3%5Ccdot%20x%5E2%3D3x%5E2%2C%5C%5C%203%5Ccdot%20x%3D3x%2C%5C%5C3%5Ccdot%20%28-2%29%3D-6.)
Then add terms with the same degree:
![2x^2+3x^2=5x^2,\\-4x+3x=-x.](https://tex.z-dn.net/?f=2x%5E2%2B3x%5E2%3D5x%5E2%2C%5C%5C-4x%2B3x%3D-x.)
At last,
![(2x+3)(x^2 + x - 2)=2x^3+5x^2-x-6.](https://tex.z-dn.net/?f=%282x%2B3%29%28x%5E2%20%2B%20x%20-%202%29%3D2x%5E3%2B5x%5E2-x-6.)
Answer: correct choice is C.