The store that is larger sells shirts at a better price because they have greater supply in comparison to the demand of shirts. The price is $2.99 because the larger store offers a discount of 10%.
L = w+22
2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft
l = w+22 = 999+22 = 1021ft
w = 999 ft
13 +13 = 26 for pizza 2 sodas = 3.00. Total bill: $29.00
mamas 15 + 15 = 30 soda= 2. Total bill: $32.00
First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.
To figure out how much weight the pig gained, we must find 30% of 120.
Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).
0.3 * 120 = 36
Therefore, the pig gained 36 pounds.
To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.
36 + 120 = 156
Therefore, the new weight of Shane’s pig is 156 pounds.
Hope this helps!
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.
