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Svet_ta [14]
3 years ago
8

Mr. Osaka sprinkles 1.694 pints of dry, powdered plant food on his garden three times a year. In quarts, what's the total amount

of plant food he uses in one year?
Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

<u>Mr. Osaka sprinkles 2.541 US dry quarts of plant food annually on his garden.</u>

Step-by-step explanation:

1. Let's review all the information provided to answer the question correctly:

Amount of plant food Mr. Osaka sprinkles on his garden = 1.694 pints

Number of times Mr. Osaka sprinkles his garden annually = 3

2. In quarts, what's the total amount of plant food he uses in one year?

First of all, we need to calculate the total amount of plant food Mr. Osaka sprinkles on his garden annually, this way:

1.694 * 3 = 5.082 dry pints of plant food

Now, let's find the equivalency between US pints and US quarts

1 US dry pint = 0.5 US dry quart

Thus:

5.082 * 0.5 = 2.541 US dry quarts

<u>Mr. Osaka sprinkles 2.541 US dry quarts of plant food annually on his garden.</u>

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Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

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We know that alternating interior angles formed by a transversal line are congruent.

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Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

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∠1  = ∠5

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3x + 42 =  8x - 8

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8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

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Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

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The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

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12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

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∠2 = ∠7

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Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

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