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3 years ago

mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Each kid would get 2/9 of the cake

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3 years ago

I want the answer and way to do this problem.

user100 [1]

∠ABC = ∠CDA (given)

∠BCA = ∠DAC (given)

CA = AC (common side)

ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.

Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.

Therefore, △ABC ≅ △CDA under the ASA congruence criterion.

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2 years ago

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Step-by-step explanation:

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2 years ago

35 Points!!

nexus9112 [7]

Answer:

- Equal midpoints of AC and BC.

- The product of the slopes of the diagonals AC and DB is -1.

Step-by-step explanation:

1. Plot the given points, as you can see in the graph attached.

2. Calculate the midpoint of AC and DB:

$M_{AC}=(\frac{-5+(-1)}{2},\frac{-1+5}{2})=(-3,2)\\M_{DB}=(\frac{-9+3}{2},\frac{6+(-2)}{2})=(-3,2)$

Therefore, the midpoint of AC and DB are equal.

3. Calculte the slope of the diagonals AC and DB:

$m_{AC}=\frac{5-(-1)}{-1-(-5)}=\frac{3}{2}\\m_{DB}=\frac{-2-6)}{3-(-9)}=-\frac{2}{3}$

4. Multiply the slopes of the diagonals:

$(\frac{3}{2})(-\frac{2}{3})=-1$ (AC and DB are perpendicular)

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3 years ago