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sergey [27]
3 years ago
12

Find the value of x for which the lines r and s are parallel. answers: 13 47 48 12

Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

x=12

Step-by-step explanation:

142 and 3x+2 are supplementary angles when the lines are parallel

142+ 3x+2 = 180

Combine like terms

144+3x= 180

Subtract 144 from each side

144+3x-144=180-144

3x=36

Divide by 3

3x/3 = 36/3

x =12

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Car dealerships claim to make most of their money from servicing cars. In a certain month, an Acura dealership sold fifteen less
MA_775_DIABLO [31]

Answer:

New cars sold = 20,

Used cars sold = 25

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Step-by-step explanation:

In a month they sold fifteen less used cars than twice the number of new cars.

Lets say 'x' number of new cars were sold, then:

The number of used car sold is:

2\times x-15=2x-15

In the same month they serviced fifty more than twelve times the number of new cars sold. So the number of cars serviced is:

12\times x+50=12x+50

Altogether they sold or serviced 335 cars, so the sum of all the cars sold and serviced should be 335:

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Solving for 'x' we get:

x+2x+12x-15+50=335

15x+35=335

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x=\frac{300}{15}=20

Therefore, the number of new cars sold in that month is 20.

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We can also cross check by summing them up:

290+25+20=335

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