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PolarNik [594]
3 years ago
15

Mary has twice as many dogs as David has cats and josh has enough animal collars to give a collar to one third of the dogs or to

give a collar to all the cats except one. How many collars does josh have?
Mathematics
1 answer:
Ann [662]3 years ago
3 0
D = 2C
J = 1/3D
J = C - 1

J = 1/3D
J = 1/3(2C)
J = 2/3C

2/3C = C - 1
2/3C - 3/3C = -1
-1/3C = -1
C = -1 * -3
C = 3...there are 3 cats

J = C - 1
J = 3 - 1
J = 2.....there are 2 collars





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∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

Step-by-step explanation:

We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.

The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles  B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.

Hence by angle-side-angle the triangles BJI and CJG are equal.

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Step-by-step explanation:

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Answer:

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