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lys-0071 [83]
4 years ago
5

What is the value of x?

Mathematics
1 answer:
nikklg [1K]4 years ago
4 0
It took me a minute, but I understand what it wants you to do.

a^2+b^2=c^2

Find the missing length on that one triangle to the left.

62^2+b^2= 99.2^2

Square the numbers. 

3844+b^2= 9840.64

Subtract 3844 on both sides. 

b^2= 5996.64 

Square root it. 

b= 77. 437975 round down to b= 77.4 

Now, we can find the length of the other missing side. (x+2)

77.4^2+b^2= 112^2

5990.76+b^2= 12,544

Subtract 5990.76 on both sides. 

b^2= 6553.24

Square root it. 

b= 80.952085, round to b=81

Now, plug that in. 

(x+2)= 81

Subtract 2 on both sides. 

x=79 (about)

I hope this helps! Make sure to check my work. 
~kaikers





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Find the length of GF
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By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

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3 0
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Elanso [62]

Answer:

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Step-by-step explanation:

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A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li
mart [117]
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

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In short,
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Step-by-step explanation:

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