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lubasha [3.4K]
3 years ago
9

Decide whether the rates are equivalent. 30 beats per 20 second 90 beats per 60 seconds

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

Per 60 second divide by per 20 seconds = 3.

90 beats divided by 30 beats = 3.

Does 3 = 3?

Yes, which means that the answer to the question is yes.

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In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
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Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

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DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

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Step-by-step explanation:

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