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Xelga [282]
3 years ago
12

Solve for x to the nearest tenth. please help i’m failing

Mathematics
2 answers:
Artyom0805 [142]3 years ago
6 0

Answer:

x≈ 8.3

Step-by-step explanation:

ok first you have to find the hypotenuse of the smaller triangle

a²+b²=c²

2²+4²=c²

4+16=20

√20≈ 4.5

4.5²+7²=c²

20.25+49≈ 69.25

√69.25≈ 8.3

gavmur [86]3 years ago
3 0

Answer:

x = \sqrt{69}

Step-by-step explanation:

Pythagorean theorem: A^2 + B^2 = C^2

first, find the length of the line cutting through the shape:

let's call this line L.

plug the numbers into the theorem.

4^2 + 2^2 = L^2

16 + 4 = L^2

20 = L^2

next, plug 7 and L into the theorem again to find x

L^2 + 7^2 = x^2

20 + 49 = x^2

69 = x ^2

x = \sqrt{69}

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