216. All you have to do to find volume is to multiply the numbers. 12 x 18 = 216.
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
![SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}](https://tex.z-dn.net/?f=SP%20%3D%20%5Csqrt%7B%5B4-%28-4%29%5D%5E%7B2%7D%2B%5B%28-2%29-%28-4%29%5D%5E%7B2%7D%7D)

![PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}](https://tex.z-dn.net/?f=PA%20%3D%20%5Csqrt%7B%286-4%29%5E%7B2%7D%2B%5B6-%28-2%29%5D%5E%7B2%7D%7D)



![ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}](https://tex.z-dn.net/?f=ZS%20%3D%20%5Csqrt%7B%5B-4-%28-2%29%5D%5E%7B2%7D%2B%28-4-4%29%5E%7B2%7D%7D)

Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:




Since
, diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:








Then, the diagonals SA and PZ bisect each other.
The "CORRECT" answer is 746 with a remainder of 1
I hope this helps.
Have a "AWESOME" day!
:)
Answer:
ASA
Step-by-step explanation:
The two figures share one side
Their angles that are congruent are marked
Since one has a right angle, the other will have a right angle as well because it is a straight line
The order that the angles and sides are placed in is Angle, Side, Angle
Answer:
19
Step-by-step explanation:
Given the expression:
Add the quotient of 35 and 5 to the product of 2 and 6.
Quotient of 35 and 5 :
35 / 5 = 7
Product of 2 and 6 :
(2 * 6). = 12
Adding the result of the both calculations :
7 + 12 = 19
Writing the expression together :
35/5 + (2 * 6)
7 + 12