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Irina-Kira [14]
3 years ago
15

Find the value of x. Round your answer to the nearest tenth.

Mathematics
1 answer:
Fantom [35]3 years ago
5 0
Hello again! So we will be using the pythagorean theorem (leg^2+leg^2=hypotenuse^2) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.


Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

17^2+z^2=19^2

Solve the exponents to get 289+z^2=361

Subtract 289 on each side to get z^2=72

Lastly, square root each side of the equation and your answer should be z= \sqrt{72} (To get more accurate answers, you shouldn't round until the end of the problem)


Nextly, we will need to subtract \sqrt{72} from 31. And since there are 2 triangles, you'll need to multiply \sqrt{72} by 2.

x=31- \sqrt{72} *2 \\ x=14.0

In short, x = 14.0
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