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Olenka
12 days ago
5

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
2 answers:
Zina [3.8K]12 days ago
5 0

Answer: 6.93

Work Shown:

Apply the Pythagorean theorem to determine x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

zzz [4K]12 days ago
3 0

Answer:

x=6.93

Step-by-step explanation:

Given that we have a right triangle, the Pythagorean Theorem can be applied.

a^2+b^2=c^2

Here, a and b represent the triangle's legs, while c is the hypotenuse.

In our case, x and 11 are the legs since they create the right angle. 13 serves as the hypotenuse because it lies opposite the right angle.

a=x

b=11

c=13

x^2+11^2=13^2

Now, let's compute the squares.

11^2=11*11=121

13^2=13*13=169

x^2+121=169

We can solve for x by isolating it. Start by subtracting 121 from both sides.

x^2+121-121=169-121

x^2=169-121

x^2=48

As x is squared, we must apply the square root to both sides.

√x^2=√48

x=√48

x=6.92820323

When rounding to the nearest hundredth, the 8 in the thousandth place suggests we adjust the 2 in the hundredth place to a 3.

x=6.93

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Answer:

1) (2.2, -1.4)

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We are provided with two linear equations representing lines, and we need to find the intersection point that solves the system.

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Therefore, the solution for question 1 is (2.2, -1.4).

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From the information given

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