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3 years ago

I would really appreciate it if someone could help and answer this with an explanation:)

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

9514 1404 393

Answer:

ASA

Step-by-step explanation:

Two angles and a side are marked congruent. The side is between the two angles.

The congruence theorems are abbreviated using S for "side" and A for "angle". The order matters.

AAS means Angle-Angle-Side, two congruent angles with a side that is not between them.

ASA means Angle-Side-Angle, two congruent angles with a side that IS between them. That is the case we have here.

The appropriate choice is ASA.

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First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

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$\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}$

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Continue by seeing how may grams there are in 99.2 cups

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$\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}$

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$\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}$

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$\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}$ $\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}$

you will need 98 sets for this amount of paint.

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