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UkoKoshka [18]
3 years ago
7

In △ABC point D is the midpoint of AB , point E is the midpoint of BC , and point F is the midpoint of BE . Find area of △ABC, i

f ADCF= 63 cm^2.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

I did this   manually on  some notepaper but my scanner is not working.

The answer is 72 cm^2

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Volgvan

Note the improper fraction. Change it into a mixed fraction

3/2 = 2/2 + 1/2

2/2 = 1

5 + 1 1/2

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5 + 1 = 6

6 1/2 is your answer

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In a triangle, one of the angle measures 70°
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Answer:

the two angles are 55° each

Step-by-step explanation:

Let the two equal angles be y each

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Why do many animals in grasslands stay together in herds?
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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

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(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

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\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

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\implies y=11x-88+153

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When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

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