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3 years ago

What is the value of x? enter your answer in the box X=

Mathematics

2 answers:

AURORKA [14]3 years ago

5 0

Answer:

x=54°

Step-by-step explanation:

Vertical angles theorem is very helpful, in fact it is necessary. Vertical angles th. is a rule that states that two angles, shown in the attachment, are the same. By doing 2x+2 = 3x-52, you can find x. The value of x is 54 degrees.

WITCHER [35]3 years ago

4 0

Answer:

Step-by-step explanation:

2x+2=3x-52

-2x -2x

---------------

x+2=52

-2 -2

-------------

x=54

2(54)+2=110

3(54)-52=110

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bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

Explanation

Suppose, they need to work for $x$ minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that $x$ minutes $=\frac{x}{5}$ and the number of boxes packed by Trudy in $x$ minutes $=\frac{x}{7}$

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if each of them packed the same number of boxes, then the equation will be......

$12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105$

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