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2 years ago

10

Classify the special quadrilateral.

1 answer:

PilotLPTM [1.2K]2 years ago

6 0

Answer: Rhombus

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Explanation:

The tickmarks show that all four sides are the same length. Therefore, this figure is a rhombus. It is not a square because the angle would need to be 90 degrees. We can say it is a non-square rhombus, or a rhombus that isn't a square. It is also not a rectangle either because all rectangles have each angle at 90 degrees.

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Simplify expression <br> -6-2(3x+8)

KIM [24]

Answer:

-6x-22

Step-by-step explanation:

-6 -2 (3x + 8)

Distribute the 2.

-6 -6x -16

Rewrite the expression.

-6x -6 - 16

Subtract -6 from 16.

The answer is -6x-22

5 0

3 years ago

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

3 years ago

create a ratio table for making lemonade with a lemon juice -to -water ratio of 1:3 show how much lemon juice would be needed if

Mekhanik [1.2K]

The ratio is 12:36 of lemonade juice to water so 1:3, 2:6, 3:9 and so on.

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3 years ago

What is the name for the total area of the surface of a solid?prism area net area surface area facial area

ivolga24 [154]

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

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3 years ago

Read 2 more answers

Henry buys an item for $4.23. He gives the cashier a $20 bill. How much money should Henry get back?

N76 [4]

Answer:

Henry will get $15.77 back.

Step-by-step explanation:

20 - 4.23 = 15.77

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3 years ago