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Molodets [167]
3 years ago
7

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.​

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

8

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.  

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Answer:

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Part a) we know that

The <u><em>Alternate Interior Angles Theorem</em></u> states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.

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Part b) we know that

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Part c) we know that

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triangle ABC is similar with triangle EDC by AA Similarity Theorem

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Part d) triangle ABC is similar with triangle EDC by AA Similarity Theorem

see the explanation Part c)

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substitute the given values

\frac{2}{DC}=\frac{5}{7.5}

solve for DC

DC=2(7.5)/5=3\ cm

therefore

The length side b is 3 cm

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