Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
Answer:
The cost of one unit of electricity is $0.185
Step-by-step explanation:
Amount charged = $120.99
Units of electricity used = 654
The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.
So that,
cost of one unit of electricity = 
= 0.185
cost of one unit of electricity = $0.185
This implies that the cost of electricity used is charged at $0.185 per unit.
Thus for 654 units of electricity used, the cost would be;
654 x $0.185 = $120.99
Answer:
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- <u>No. You would have to cut the number of veggie burgers in more than half.</u>
Explanation:
<u>1. Model the situation with a system of equations</u>
<u />
<u>a) Name the variables:</u>
- number of turkey burgers: t
- number of veggie burgers: v
<u />
<u>b) Number of burgers:</u>
<u />
<u>c) Cost of the 50 burgers:</u>
<u>2. Solve that system of equations:</u>
<u />
<u>a) System</u>
<u>b) Mutliply the first equation by 2 and subtract the second equation</u>
- 100 = 2t + 2v
- 90 = 2t + 1.50v
- v = 20 ⇒ t = 50 - 20 = 30
<u />
<u>c) How much would you spend if the next year you buy the double of 20 turkey burgers (40) and the half of 30 veggie burgers (15)</u>
- $2(40) + $1.50(15) = $80 + $22.50 = $102.50
Then, you if you double the number of turkey burgers, and cut the number burgers in half, you would spend more than $90 ($102.50).
I hope u all know these are a series of bot accounts
I'm gonna calculate by the area of pizza to see how much food you get for 10 and 20 dollars
A...area
r...radius
d...diameter
d1=12 r1=6
d2=18 r2=9
A1=r1^2×3.14
A1=6^2×3.14
A1=36×3.14
A1=113.04
A2=r2^2×3.13
A2=9^2×3.14
A2=81×3.14
A2=254.34
if you bought 2, 12 diameter pizzas for 20 dollars you would get 226.08 area od food,still less if you bought 1, 18 diameter pizza for 20 dollars. because 223.08 < 254.34
