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Musya8 [376]
3 years ago
15

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°.

Mathematics
1 answer:
klio [65]3 years ago
7 0

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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ADDING FRACTIONS WITH LIKE DENOMINATOR<br> 5/12+3/12<br> DO YOU KNOW THE ANSWER?
larisa [96]

Answer:

8/12 = 2/3

Step-by-step explanation:

5/12 + 3/12

Since the denominator is the same, we add the numerators

8/12

We can simplify by dividing the top and bottom by 4

2/3

3 0
3 years ago
Read 2 more answers
If A = (7,9) and B = (3 , 12) what is the length of AB
V125BC [204]

Answer:

AB = 5 units

Step-by-step explanation:

Calculate the length using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2

with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)

AB = \sqrt{(3-7)^2+(12-9)^2}

      = \sqrt{(-4)^2+3^2}

      = \sqrt{16+9}

      = \sqrt{25}

       = 5

7 0
3 years ago
The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
antiseptic1488 [7]

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

4 0
3 years ago
What is the name of this figure?
natulia [17]
Triangular Prism.

Hope this helped :)
6 0
3 years ago
11 times a number increased by 2 is the same as 6 more than 9 times the number. Find the number.
7nadin3 [17]
11x+2 = 9x+6. Subtract 2 from both sides. 11x = 9x+6. subtract 9x from both sides. 2x = 4, divide both sides by 2. x = 2. Substitute the x with 2 and check to see it it works. The numbers should equal each other.
8 0
3 years ago
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