Tim counted 24 mole rats in an exhibit at the zoo. then he realized that he forgot to count x mole rats.
a. write an expression to represent the number of mole rats in the exhibit. why is this the correct expression?
b. suppose a sign next to the exhibit says there are 36 mole rats. what is the value of x? explain your reasoning.
c. now that you know there are 36 mole rats in the exhibit, write an expression to represent the number of mole rats that tim counted. use x in the expression

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

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