I'm so confused please hurry!!!
1 answer:
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Answer:
- x=7
- ∠GBD=112
- ∠EFC=112
Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
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Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
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Answer:
Roger needs to sell 16 pairs of shoes.
Step-by-step explanation:
Given : Roger gets $40 per day as wages and $4.50 as a commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
To find : Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal ?
Solution :
Let the number of pairs of shoes be p.
$4.50 as a commission for every pair of shoes he sells in a day i.e. 4.5p.
According to question,
i.e. the daily earning goal is equal to the wage per day plus the number of shoes multiplied by the commission for each pair.
Solving the equation,
Therefore, Roger needs to sell 16 pairs of shoes.