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alexdok [17]
3 years ago
14

The average money spent on cigarettes is 2,190 a year. If a 16 year old starts smoking and quits at 30, how much money will be s

pent during that time?
Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

Answer:

30,660

Step-by-step explanation:

The first thing you want to do is find how long they've been smoking. To do this, you want to subtract 16 from 30 (30 - 16) to get a difference of 14 years. Now that you know how long they have been smoking, you can look at how much they spend. If they spend 2,190 a year, and they've been smoking for fourteen years, you can multiply 2,190 by 14 (2190 x 14) to get a sum of 30,660.

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22

Step-by-step explanation

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In the figure below, points A, B, and C are ______ points because they lie on the same line.
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A, B, C are Collinear points

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
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Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

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

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

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Answer:

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Step-by-step explanation:

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