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jarptica [38.1K]
2 years ago
11

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics
1 answer:
Nuetrik [128]2 years ago
6 0

Answer:

x=18

Step-by-step explanation:

In this question we can use the Geometric mean of leg theorem

The theorem states that the hypotenuse/leg 2 = leg 2/part 2

In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.

Plugging the given values in, we get

72/x+18=x+18/x

We can then simplify it.

(x+18)^2=72x

x^2+36x+324=72x

x^2-36x+324=0

That is equal to (x-18)^2

So, x=18

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