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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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Need help with this question
Lilit [14]

Answer: 30

Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...

a² + b² = c²

24² + 18² = c²

576 + 324 = c²

c² = 900

\sqrt{900}

30

30 = c

I hope this helps!

6 0
3 years ago
Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left
Nina [5.8K]

Answer:

This type of transformation is a horizontal stretch.

<em></em>

Step-by-step explanation:

Given

y = x + 4

y = .5x + 4

Required

Determine the type of transformation

The first function can be expressed as:

f(x) = x + 4

While the second function is:

g(x) = f(0.5x)

Solving f(0.5x), we have to substitute 0.5x for x in f(x) = x + 4

f(0.5x) = 0.5x + 4

So:

The second function is:

g(x) = 0.5x + 4

<em>This type of transformation is a horizontal stretch.</em>

<em></em>

<em>i.e. f(x) stretched to g(x)</em>

4 0
3 years ago
The sum of Juanita’s age and Sara’s age is 33 years. If Sara is 15, how old is Juanita?
astraxan [27]
Juanita is 18 years old.
33-15
18

Hope this helps
4 0
3 years ago
Read 2 more answers
What is the greatest factor of -2x?
Sveta_85 [38]

Answer:

this is prime

Step-by-step explanation:

3 0
3 years ago
Given f(x) = 6 (1-x) what is the value of f (-8)
Oxana [17]
Thanks for the question!

f(x) = 6 (1 - x)
f(-8) = 6 (1 - (-8))
f(-8) = 6 (9)
f(-8) = 54

Hope this helps!
3 0
3 years ago
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