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dem82 [27]
3 years ago
10

What is the value of y

Mathematics
1 answer:
daser333 [38]3 years ago
6 0
It 72° because AB is parallel to CD
You might be interested in
What is the quotient of 2 3/4 and 5 1/2?
Juli2301 [7.4K]

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  <u>invert and multiply</u> (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  <u>use a common denominator</u> (for the two fractions)

  = (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

<em>Additional comments</em>

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

8 0
3 years ago
How to completely factor 4x²-2x
schepotkina [342]

Answer:

2x(2x-1)

Step-by-step explanation:

4 {x}^{2}  - 2x \\  \\  = 2x(2x - 1) \\

8 0
3 years ago
A man sold his car for 5,000 which was 60% less than it cost him, how much did the car cost him?
marissa [1.9K]

To find the original cost, divide the price he sold it for by the percentage:

5000 / 0.60 = 8,333.33

He bought the car for $8,333.33



8 0
3 years ago
Read 2 more answers
You want to buy a bouquet of roses and a vase.you hope to spend 22.50.the vase cost $10 and the roses cost 2.50 each.How many ro
Stells [14]

Answer:

You can buy 35.0

Step-by-step explanation:

(2.5+(22.5+10.0))

8 0
3 years ago
Read 2 more answers
An eight-sided die, which may or may not be a fair die, has four colors on it, you have been tossing the die for an hour and hav
Ronch [10]

Answer:

26 + 20 + 29 + 49 = 124

26 brown times /124 total times = 26 divided by 124 = 0.209677 = 20.9677%

Hope this helps

Step-by-step explanation:

8 0
3 years ago
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