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nekit [7.7K]
3 years ago
11

Can you solve #7 if ur not in 8th grade or higher you probably won’t understand but if you do your smart:)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
The other leg measures 20.5 m.

Since this is a right triangle, we can use the Pythagorean theorem to solve this.  The Pythagorean theorem says that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, or 

a²+b²=c², where a and b are the legs and c is the hypotenuse.

Plugging in the value of the one known leg and the hypotenuse, we have
32²+b²=38²
32*32 + b² = 38*38
1024 + b² = 1444

Subtract 1024 from both sides:
1024 + b² - 1024 = 1444 - 1024
b² = 420

Take the square root of both sides:
√b² = √420
b ≈ 20.5
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We are going to do this step by step:

Let's start with option A

A.

X = 25 and Y = 5/2

y=\frac{2}{5}\cdot x=\frac{2}{5}\cdot25=\frac{2\cdot25}{5}=\frac{50}{5}=\frac{5\cdot10}{5\cdot1}=10

In this case, when X = 25 , then Y = 10 ,which is different to 5/2

B.

X = 14 , Y = 35

y=\frac{2}{5}\cdot14=\frac{28}{5}

In case, when X = 14, then Y = 28/5, which is different to 35

C.

X = 40 , Y = 24

y=\frac{2}{5}\cdot40=\frac{80}{5}=16

Similarly, in this case, when X = 40, then Y = 16, which is different to 24

D.

X = 10 , Y=4

y=\frac{2}{5}\cdot10=\frac{20}{5}=4

Now, in this case, we can see that when X = 10, then Y = 4 which is the same as the given value of Y

E.

X = 50 , Y = 20

y=\frac{2}{5}\cdot50=\frac{100}{5}=20

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F.

X = 30 , Y = 12

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Again, in this case, the values of Y are the same, so the pair satisfies the equation.

In conclusion: options D, E and F satisfy the equation

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