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Lostsunrise [7]

3 years ago

10

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $3

80.00?

1 answer:

VikaD [51]3 years ago

8 0

40 miles per week

Step-by-step explanation:

380-220 = 160÷4 = 40

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Jenny was walking down a wood path for 4 minutes the elevation dropped steadily altogether it dropped 12 feet what was the chang

igor_vitrenko [27]

During the first minute, the elevation dropped 3 feet.

Work:
1 minute \ -3 ft
2 minutes \ -6 ft
3 minutes \ -9 ft
4 minutes \ -12 ft
OR
12/4 = 3 ft

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3 years ago

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Vitek1552 [10]

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Step-by-step explanation:

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3 years ago

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The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove

REY [17]

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

$d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}$

$=\sqrt{(-5)^2+(1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{MB}=\sqrt{(1-2)^2+(4+1)^2}$

$=\sqrt{(-1)^2+(15)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}$

$=\sqrt{(5)^2+(-1)^2}$

$=\sqrt{25+1}$

$=\sqrt{26}$

$d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}$

$=\sqrt{(1)^2+(-5)^2}$

$=\sqrt{1+25}$

$=\sqrt{26}$

$\overline{RM}$ ≅ $\overline{MB}$ ≅ $\overline{BS}$ ≅ $\overline{SR}$

Diagonals:

Use the slope formula: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$m_{RB}=\dfrac{5+1}{-4-2}$

$=\dfrac{6}{-6}$

= -1

$m_{MS}=\dfrac{4-0}{1+3}$

$=\dfrac{4}{4}$

= 1

Slopes are opposite reciprocals so they are perpendicular.

***************************************************************************

All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

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