What is the value of x to the nearest tenth?
18.5
29.5
37.0
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Answer: 37.0
Step-by-step explanation:
Using Pythagorean theorem we can solve for the missing side of the triangle.
[tex]24.6^2=16.2^2 + b^2\\[/tex]
Square 24.6 and 16.2
[tex]605.16 = 262.44 + b^2\\[/tex]
Then subtract 262.44 to the other side to isolate b.
[tex]342.72 = b^2[/tex]
Now square root both sides to solve for b.
b = 18.592
Then multiply b by 2 to find x.
[tex]18.512*2 = x\\[/tex]
x = 37.025
When rounded it is 37.0.