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Illusion [34]
2 years ago
7

Please help me I’m so confused

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

60

Step-by-step explanation

Okay, uh... this is gonna be confusing to explain.

So a hexagon's angles add up to 720. This means, we can find each angle's supplementary angle by subtracting each value we know away from the total.

So, we know the inside angle of angle 6 is 90.

So: 720-90=630

Now, typically, you would divide by the remaining angles, but we have basically 2 angles of different values since 1, 2, and 3 are equal, and 4 and 5 are equal.

However, we know that 1, 2, and 3 are 10 degrees less than 4 and 5. So if we "add" 10 degrees to each of those angles we get:

10*3=30

630-30=600

Now we made it as though each angle (1-5) is equal. So now we divide by 5.

600/5=120

This means the supplementary of angles 4 and 5 is 120, so we subtract that value from 180 since a straight angle is 180.

180-120=60

Now, to check this we reverse it.

(120*2)+(120*3)+(10*3)+(90)=

240+360+30+90=

600+30+90=

600+120=

720.

Um... I think this is it?? Your school is scary :o

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<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

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<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

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But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

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