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liubo4ka [24]
3 years ago
13

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

x=10

A = 84

Step-by-step explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

  = 50+34

A = 84

Drupady [299]3 years ago
6 0

Answer:

x=10

A=84

Step-by-step explanation:

A+B=180

5x+34+2x+76=180

7x+110=180

7x=70

x=10

A=5x+34=5*10+34=50+34=84

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128 is 74% of what number?
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If we know that 128 is 74% of something, we can write it like this:

74%x=128.

If we take the percent away (percent means by hundred in latin, 1%=1/100), we'll have

74/100 *x=128


 //let's multiply both sides by 100, that way we can get rid of the ugly "/100 because 100/100 = 1, and we can ignore 1 in multiplications

100*74/100 *x = 128 *100//             let's simplify the left side: 100/100=1
74*x=128*100//            let's calculate the right side now
74*x=12800// now we have to divide both sides by 74

x=12800/74

if we divde this, we have: 172 + 72/74. (why? see below)
We can simplify the fraction by division by 2: 172 36/37


00172
_______
12800:74
 -74
___
   540
 - 518
 -------
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      148
_________
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