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woodfordmaliky
11.11.2019 •
Mathematics
Mega middle school sells wrapping paper to raise money for student activities the school keeps half of all sales $300 prizes to top sellers how much wrapping paper must be sold for the school to earn $5000
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Ответ:
Step-by-step explanation:
Let the total sales for wrapping paper be represented by variable x
Amount the school keeps is half of total sales x, minus $300. Written as an equation, that would be ; 0.5x - 300
If the schools wants to earn $5000, this amount would be equal to the above equation of what it keeps;
0.5x - 300 = 5000
add 300 to both sides;
0.5x = 5000+300
0.5x = 5300
divide both sides by 0.5 and solve for x;
x=5300 / 0.5
x= 10,600
Therefore, they need to sell $10,600 worth of wrapping paper.
Ответ:
a.) 4x = 2(x + 14)
b.) Measure of A = 56°
Measure of B = 56°
Step-by-step explanation:
We know that,
When two lines are crossed by another line transversal line , the angles in matching corners are called corresponding angles.
Also,
When two lines are parallel then the Corresponding Angles are equal.
Given that,
A = 4x and B = 2(x+14).
i.e.
∠A = 4x and ∠B = 2(x+14)
a.)
Now,
As A and B are parallel
So,
∠A = ∠B
⇒4x = 2(x + 14)
(This is the equation that represent the corresponding angle relationship between A and B.)
b.)
Now,
⇒4x = 2x + 2(14)
⇒4x = 2x + 28
⇒4x - 2x = 28
⇒2x = 28
⇒x = 14
So,
we get
∠A = 4(14)
= 56
⇒∠A = 56°
and
∠B = 2(14 + 14)
= 2(28)
= 56°
⇒∠B = 56°
∴ we get
Measure of A = 56°
Measure of B = 56°