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3 years ago

HELP!! what is the value of w? A.40 B.52.5 C.75 D.100

Mathematics

2 answers:

Inga [223]3 years ago

6 0

The angles w and 80 are inscribed angles in the top left and bottom right corners respectively. They are opposite angles in this inscribed quadrilateral. Because they are opposite angles in the inscribed quadrilateral, they add to 180 degrees.

w+80 = 180
w+80-80 = 180-80
w = 100

Answer: Choice D

zloy xaker [14]3 years ago

4 0

Remark
In a cyclic quadrilateral ( a four sided figure that can be drawn in a circle), the opposite sides add up to 180 degrees.

Consequence.
x + 105 = 180
w + 80 = 180

Solution
w + 80 = 180 Subtract 80 from both sides.
w = 180 - 80
w = 100 degrees Answer

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Read 2 more answers

Two mechanics worked on a car. The first mechanic charged S95 per hour, and the second mechanic charged $115 per hour.

natima [27]

Answer:

First mechanic worked for 10 hours and second mechanic worked for 15 hours.

Step-by-step explanation:

Let first mechanic worked for X hours and second mechanic worked for Y hours .

Now, according to the question , they worked for a total of 25 hours .

Thus ,

X + Y = 25.

Y = 25 - X -(1)

Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .

Thus, total money charged by them will be 95X + 115Y .

Which is given to be $2675 in the question.

Thus 95X + 115Y = 2675. -(2)

Putting equation 1 in equation 2 we get ,

95X + 2875 - 115X = 2675

20X = 200

X = 10 hours.

Thus , Y = 25 - X = 15 hours.

Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.

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