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Paladinen [302]
3 years ago
14

HELP ASAP! Pizza shack charges $8 per pizza with a $4 delivery fee. Pizza on the Plaza charges $10 per pizza but does not charge

a delivery fee. Write an equation that could be used to find the number of pizzas for which the cost, including delivery, will be the same.
Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

Answer:

8(p) +4 =10(p) , P = 2

Step-by-step explanation:

The equation that could be found as given in the question that,

$8 per pizza (p) with a $4 delivery fee which is equal to $10 pizza (p) without any charges.

8(p) +4 =10(p)

Rearranging the  equation to find the number of pizza (p)

4 = 10p - 8p

4 = 2P

4/2 =P

2 = P

P = 2

Therefore, there are 2 pizzas for $8 of pizza with delivery fee and 2 pizzas for $10 without any charges.

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In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H? 42°
Vinvika [58]
<span>The complete question is shown in the attached image

<u><em>Answer:</em></u>
measure angle H = 42</span>°<span>

<u><em>Explanation:</em></u>
<u>There is a theorem that states that:</u>
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

<u>In the given, we have:</u>
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H

<u>Based on the above rule:</u>
measure angle E = measure angle D + measure angle H

<u>We are given that:</u>
angle E = 87</span>°<span>
angle D = 45</span>°<span>

<u>Substitute with the givens in the above rule and solve for the measure of angle H as follows:</u>
angle E = angle D + angle H
87</span>°<span> = 45</span>°<span> + measure angle H
measure angle H = 87</span>°<span> - 45</span>°<span>
measure angle H = 42</span>°<span>

Hope this helps :)</span>

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