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2 years ago

Find the missing side lengths. leave ur answers as radicals

Mathematics

2 answers:

Mrac [35]2 years ago

5 0

Answer:

x is 2 and y is 2✓3

Step-by-step explanation:

this is because of the 30 60 90 theorem

so 1 is n

and x has to be 2n so it is 2

and y is n√3 so it's 2√3

padilas [110]2 years ago

5 0

Answer:

x = 2 , y = √3

Step-by-step explanation:

In right angled Δ, the leg against of 30° angle equals half of length of hypotenuse ⇒ x = 2 and y = √(4 - 1) = √3

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Find the interior angles of a regular polygon which has 6, 10 and 20 sides

andrew-mc [135]

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

4 0

2 years ago

Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S

Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = $\sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}$

AC = $\sqrt{(2-4)^2+(1-1)^2} =2$

BC = $\sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}$

For triangle SRT we have

RS = $\sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}$

RT = $\sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2$

ST = $\sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}$

Therefore their dimensions are equal

However the side with length 2 occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0

3 years ago

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How do I do this? It is a regular hexagon with a height of 30. We have to find the perimeter of it.

Sliva [168]

Answer:

The radius of a hexagon is called the apothem, which in this case is 15.

We need to know the side length which is found by the equation:

side length = apothem * 2 * (tan (180 / #sides))

side length = apothem * 2 * (tan (180 / 6))

side length = 15 * 2 * (tan (30 degrees))

side length = 30 * .57735

side length = 17.3205

We need the perimeter of the hexagon which equals the side length times six.

perimeter = 6 * 17.3205 = 103.923

Source: https://www.1728.org/polygon.htm

Step-by-step explanation:

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3 years ago

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Delvig [45]

Answer:

https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf

Step-by-step explanation:

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