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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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:
And x is:
x = 105 - y
x = 105 - 50
x = 55
1st mechanic charges $55 per hour
2nd mechanic charges $50 per hour
Given:
Total cheese = 12 pound
Cheese in each package = 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.
Therefore, there are 24 number of cheese packages.