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43 votes
43 votes
Map of the City Zoo A triangle with points zebras, monkeys, and lions. The distance from zebras to monkeys is 52 feet and from monkeys to lions is x feet. A triangle with points lions, tigers, elephants. The distance from lions to tigers is 96 feet and from tigers to elephants is 78 feet. The path from the zebras to the monkeys is parallel to the path from the tigers to the elephants. What is the distance between the lions and monkeys? 1. Proportion: 52 78 = x 96 2. Cross-multiply: 4992 = 78x 3. Solve: The distance between the lions and the monkeys is feet.

Map of the City Zoo A triangle with points zebras, monkeys, and lions. The distance-example-1
User Akriti
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3.5k points

2 Answers

14 votes
14 votes

Answer:

64 units

Explanation:

Hello! This is a proportion problem

52 is a smaller proportion to 78.

X is a smaller proportion to 96.

Since this both have the same ratio scale, we can set them equal to each other, remembering to put the smaller number from each one on the top.

(52/78)=(x/96)

Now we can just solve for X:

(96*52)/(78) = 64 = X

Our answer is in feet so 64 feet is the distance between the lions and the monkeys.

User Comsavvy
by
3.2k points
20 votes
20 votes
It is 64 units I really don’t want to get into detail just take my word
User Jonathan Olson
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3.0k points