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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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The answer is 12•4.


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Answer: Distributive hope this helps.

Step-by-step explanation:

5 0
3 years ago
the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $1300. wha
abruzzese [7]

Answer:

1st mechanic charges $55 per hour

2nd mechanic charges $50 per hour

Step-by-step explanation:

Suppose rate charged per hour for first meachnic is "x"

rate charged per hour for 2nd mechanic is "y"

So,

1st mechanic 10 hrs, 2nd mechanic 15 hrs, total charge 1300, so we can write:

10x + 15y = 1300

Also, total hourly rate of both is 105, so we can write:

x + y = 105

or

x = 105 - y

We can substitute this into 1st equation and solve for y:

10x + 15y = 1300\\10(105-y) + 15y = 1300\\1050-10y+15y=1300\\5y=250\\y=50

And x is:

x = 105 - y

x = 105 - 50

x = 55

1st mechanic charges $55 per hour

2nd mechanic charges $50 per hour

5 0
3 years ago
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha c
Gnoma [55]

Answer:

what can i help u with

Step-by-step explanation:

The graph of x = |y| is as shown in the figure.

When we draw a vertical line, it intersects the graph at two points.

This means for the same value of x , we have two values of y.

Or in other words, for the same pre image, we have two images.

Hence it is not a function.

But for every value of x, we do have a value of y, hence it is a relation.

x = |y| is a relation but it is not a function

7 0
3 years ago
How many \frac{1}{2} 2 1 ​ - pound packages of cheese can the deli make with 1212 pounds of cheese?
monitta

Given:

Total cheese = 12 pound

Cheese in each package = \dfrac{1}{2} pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}

\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}

\text{Number of cheese packages}=12\times \dfrac{2}{1}

\text{Number of cheese packages}=24

Therefore, there are 24 number of cheese packages.

5 0
3 years ago
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