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RoseWind [281]
3 years ago
9

EXTRA POINTS :) what is the value of x??

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

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3 years ago
The owner of two hotels is ordering towels. He bought 15 hand towels and 43 bath towels for his hotel in Livingston, spending a
coldgirl [10]

Answer:

The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

Step-by-step explanation:

Let the Cost of Each hand Towels be 'x'.

Let the Cost of Each Bath Towels be 'y'.

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So we can say that;

15x+43y=548

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Also Given:

99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177.

So we can say that;

99x+62y =1177  ⇒ Equation 2

Substituting the value of 'x' from equation 1 in Equation 2 we get;

99\frac{(548-43y)}{15}+62y=1177\\\\33\frac{(548-43y)}5+62y=1177\\\\\frac{18084-1419y}5+62y=1177

Now taking LCM to make the denominator common we get;

\frac{18084-1419y}5+\frac{62y\times5}{5}=1177\\\\\frac{18084-1419y}5+\frac{310y}5=1177\\\\\frac{18084-1419y+310y}{5}=1177

18084-1109y=1177\times5\\\\18084-1109y=5885

Combining the like terms we get;

18084-5885=1109y\\\\12199=1109y

Dividing both side by 1109 we get;

\frac{12199}{1109}=\frac{1109y}{1109}\\\\y=\$11

Substituting the value of y in equation 1 we get;

x=\frac{548-43y}{15}=\frac{548-43\times11}{15}=\$5

Hence The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

7 0
3 years ago
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