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3 years ago

Pls help me with this problem!!!!

Mathematics

1 answer:

kolbaska11 [484]3 years ago

8 0

Answer: 55°

Step-by-step explanation:

∠YAZ + ∠YAX = 180° because they are linear pairs

∠YAZ + ∠YAX = 180°

∠YAZ + 125 = 180

Subtract both sides by 125

∠YAZ = 55°

Hope that helped!

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1.425 gallons/bottle.

<h3>Further explanation</h3>

<u>Given:</u>

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

<u>Question:</u>

What is the amount of apple juice in each container (or bottle)?

<u>The Process:</u>

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

<u>Step-1:</u> the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

<u>Step-2:</u> the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

<u>Quick steps:</u>

$\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

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