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agasfer [191]
3 years ago
8

Line AC and line DB intersect at point P. Solve for angle BPQ.

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

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Answer:

Vertex = (7,5)

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Step-by-step explanation:

The vertex form of a parabola is

x=a(y-k)^2+h    ...(1)

where, (h,k) is vertex and length of latus rectum is \left|\dfrac{1}{a}\right|.

The given equation is  

x=\dfrac{1}{2}(y-5)^2+7    ...(2)

On comparing (1) and (2), we get

h=7,k=5,a=\dfrac{1}{2}

So, vertex of parabola is (7,5).

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L.R.=\left|\dfrac{1}{a}\right|=\left|\dfrac{1}{\frac{1}{2}}\right|=2

Therefore, the length of the latus rectum is 2 units.

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4 years ago
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:

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

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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