4. A rectangle is inscribed into a circle. The rectangle is cut along one of its diagonals and reflected across that diagonal to
form a kite. Draw the kite and its diagonals. Find all the angles in this new diagram, given that the acute angle formed by the diagonal of the rectangle in the original diagram was 40°.
1 answer:
Answer:
The diagrams below explain the process with angles.
Step-by-step explanation:
In figure 1, a rectangle is drawn in the circle.
Since the acute angle being drawn by the hypotenuse is 40 degree in figure 2, thus we can say the other angle will be 50 degrees.
In figure 3, the rectangle is cut across its diagonal to form a kite shaped entity within the circle.
Now we know that m∠BDE = 40° = m∠ADB.
Also, m∠A = m∠E = 90°
Thus, m∠EBD = m∠ABD = 50° ⇒ m∠B = 100°
Also, m∠ADE = 80° ANSWER
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Step-by-step explanation:
If 5! is equal to 5 × 4 × 3 × 2 × 1 and 6! is equal to 6 × 5 × 4 × 3 × 2 × 1, then 4! is equal to 4 × 3 × 2 × 1. Thus, 4! = 4 × 3 × 2 × 1, which can simplify to 24. 4! = 24.
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Answer:
The equation of parabola is given by :
Step-by-step explanation:
Given that vertex and focus of parabola are
Vertex: (4,-3)
Focus:(,-3)
The general equation of parabola is given by.
, When x-componet of focus and Vertex is same
, When y-componet of focus and Vertex is same
where Vertex: (h,k)
and p is distance between vertex and focus
The distance between two points is given by :
L=
For value of p:
p=
p=
p=
p= and p=
Since, Focus is left side of the vertex,
p= is required value
Replacing value in general equation of parabola,
Vertex: (h,k)=(4,-3)
p=
