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25.06.2021 •
Mathematics
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Ответ:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
Recall: diagonals of a parallelogram bisect each other into equal segments. Also, pairs of parallel sides are equal.
✔️DC = AB = 29 (parallel sides of parallelogram)
DC = 29
✔️DE = ½(DB) (diagonals bisect each other into equal parts)
Substitute
DE = ½(89)
DE = 44.5
Ответ:
We know that Aisha runs 1 kilometer in 7 minutes. We need to figure out how fast Sophia runs 1 kilometer, and compare that to Aisha's time.
Let's find the difference in time between 2 and 1 kilometers, and 3 and 2 kilometers.
21 - 15.5 = 5.5
26.5 - 21 = 5.5
Now, we know that Sophia runs 1 kilomenter in 5.5 minutes.
Aisha's equation: y = 7x (+ 0)
Sophia's equation: y = 5.5x + 10
Sophia runs faster because 5.5 < 7, so she runs 1 kilometer in 1.5 minutes less than Aisha does.
Hope this helps! :)