Answer:
C = 80
Step-by-step explanation:
A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.
It has 1 interesting property that should concern you: <B + <D = 180 degrees.
3x - 59 + 2x - 1 = 180 Combine like terms
5x - 60 = 180 Add 60 to both sides.
5x = 180 + 60
5x = 240
x = 240/5
x = 48
Now go to 2x + 4.
x = 48
A = 2*48 + 4
A = 96 + 4
A = 100
So C = 180 - 100
C = 80
For this case, the first thing we must do is define variables.
x: amount of time Miguel uses to complete the task.
y: amount of time Maria uses to complete the task.
We write the system of equations:
x + y = 60
y = (1/2) x
Solving the system we have:
x = 40 minutes
y = 20 minutes
Answer:
it take her to wash them by herself about:
y = 20 minutes
The angles are x =25, angle A = 20 and B = 70
<h3>How to solve for the angles?</h3>
The given parameters are:
A = x - 5
B = 2x + 20
Both angles are complementary angles.
This means that:
x - 5 + 2x + 20 = 90
Evaluate the like terms
3x = 75
Divide both sides by 3
x = 25
Substitute x = 25 in A = x - 5 and B = 2x + 20
A = 25 - 5 = 20
B = 2 * 25 + 20 = 70
Hence, the angles are x =25, angle A = 20 and B = 70
Read more about complementary angles at:
brainly.com/question/98924
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Answer:
(a) 95% of people have an IQ score between 66 and 134.
(b) 32% of people have an IQ score of less than 83 or greater than 117.
(c) 16% of people have an IQ score greater than 117
Step-by-step explanation:
