The plane that would produce a triangle is A, a cut parallel to the vertical axis, directly through the vertical axis.
<h3>What is a squared pyramid?</h3>
A square pyramid is a geometric shape having four triangles, five faces and a square.
<h3>Properties of a squared pyramid</h3>
- It has a five bases
- It has four or greater equilateral triangular faces meeting above the base
- All the edges, sides and angles are equal
Since the sides are equal, cutting parallel to the vertical axis forms a triangle.
Therefore, a cut parallel to the vertical axis, directly through the vertical axis would produce a triangle.
Learn more about a squared pyramid here:
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Let the number of hotdogs sold = X
Soda was 2 times the amount so soda = 2x
The total of both was 225:
2X + x = 225
Simplify:
3x = 225
Divide both sides by 3:
x = 225/3
x = 75
Hot dogs = 75
Soda = (75 x 2) = 150
We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ
from PRQ≡PSQ => angles RPQ and SPQ are equal
Let if be O=RS∩PQ
We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal
results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles
We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)
Answer:
Distribute -1/2 over (x - 4)
Divide both sides of the equation by -2
Answer:
x = -8
y = -10
Step-by-step explanation:
Elimination
2x - 3y = 14
5x - 3y = -10
__________--
-3x = 24
x = 24/-3
x = -8
Subsitution
2x - 3y = 14
2(-8) - 3y = 14
-16 - 3y = 14
-3y = 14 + 16
-3y = 30
y = 30/-3
y = -10
