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Vesna [10]
4 years ago
13

Which statement is always true?

Mathematics
2 answers:
Butoxors [25]4 years ago
7 0
From the given statements in this item, what is always true is that the cross section of parallel to the base of the right rectangular prism is congruent to the base. The answer is the third choice. This is because when we cut through any part of the prism parallel to the base, the shape of the cross section is the same as the base. 
Ad libitum [116K]4 years ago
5 0

Answer:

A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation:

1. A cross section parallel to the base of a right rectangular prism is a square. This is false as the cross section will be a rectangle if the base is rectangular and square if the base is a square.

2. A cross section perpendicular to the base of a right rectangular prism is congruent to the base. No, only parallel cross sections are similar to base.

3. A cross section parallel to the base of a right rectangular prism is congruent to the base. This is true as a cross section parallel to any shape will give the shape of the base. With each slice, the size gets smaller but the shape is the same as base.

4. A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base. This is false as a completely different shape is generated with different dimensions.

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Answer:

Sally will earn $21.25 per hour after she removes day care charges from her total earnings.

Step-by-step explanation:

Hey there!

Let's start by solving for how much money that Sally earns per week.

To find this value, we will find the product of 40 hours per week and 30 dollars per hour.

40\times30=1200

We now know that Sally makes $1,200 a week without deducting the daycare charges per day.

However, we know we need to deduct 70 dollars for each day that Sally works. Since she works for five days a week, we will find the product of 70 dollars per week and five days a week.

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Therefore, the day care charges $350 per week.

Finally, we need to subtract the day care charges from the amount of money that Sally earns to find how much she actually makes in a week.

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However, we are not done. The question asks us to find how many dollars <u>per hour</u> does she actually make? Therefore, we need to find the quotient of 850 dollars and 40 hours per week.

\displaystyle \frac{850}{40}=21.25

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