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yan [13]
3 years ago
5

What is thw value of x?x=____​

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Answer:

x = 30

Step-by-step explanation:

The 2 given angles are same- side exterior angles. That is they are on the same side of the transversal and outside the parallel lines.

same- side exterior angles are supplementary, thus

x + 12 + 3x + 48 = 180, that is

4x + 60 = 180 ( subtract 60 from both sides )

4x = 120 ( divide both sides by 4 )

x = 30

NISA [10]3 years ago
6 0

Answer:

(3x+48)+(x+12)

=4x+60

4x+60=180

4x=120

x=30

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Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after \frac{640}{7} miles

Step-by-step explanation:

Given

The table represents the car mileage

y = -\frac{1}{5}x + 31 --- The van

First, calculate the car's slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

So, we have:

m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

y = -\frac{1}{40}(x - 60)+13.5

y = -\frac{1}{40}x + 1.5+13.5

y = -\frac{1}{40}x + 15

m = -\frac{1}{40} implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

y = -\frac{1}{5}x + 31 --- The van

By comparison to: y = mx + b

m = -\frac{1}{5}

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

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1/40 < 1/5

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Solving (b): Distance traveled for them to use the same amount of gas.

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y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15

Collect like terms

\frac{1}{40}x -\frac{1}{5}x  =-31 + 15

\frac{1}{40}x -\frac{1}{5}x  =-16

Take LCM

\frac{x - 8x}{40} = -16

\frac{- 7x}{40} = -16

Solve for -7x

-7x = -640

Solve for x

x = \frac{640}{7}

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