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2 years ago

Quadrilateral abcd has the vertices a(-6,4) , b(-4,5) , c(-3,3) , d(-5,1) . determine if quadrilateral abcd is a rhombus

Mathematics

1 answer:

bazaltina [42]2 years ago

3 0

Answer:

Step-by-step explanation:

The defining property of a rhombus is that it has equal side lengths.

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Finding all side lengths :

⇒ √(-4 + 6)² + (5 - 4)²

⇒ √2² + 1²

⇒ √5 units

⇒ √(-3 + 4)² + (3 - 5)²

⇒ √1² + (-2)²

⇒ √5 units

⇒ √(-5 + 3)² + (1 - 3)²

⇒ √(-2)² + (-2)²

⇒ √8 units

⇒ √(-6 + 5)² + (4 - 1)²

⇒ √(-1)² + 3²

⇒ √10 units

As all side lengths of the quadrilateral are not equal, ABCD is not a rhombus.

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storchak [24]

35/32 = 35/32

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

35/32 = 1 3/32

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3 years ago

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Baker sammy helppppp

svetoff [14.1K]

Answer:

$a = 8.5t$

$y = 32.55$

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

$m = \frac{a_2 - a_1}{t_2 - t_1}$

Where:

$(t_1,a_1) = (15,127.5)$

$(t_2,a_2) = (16.5,140.25)$

$m = \frac{140.25 - 127.5}{16.5 - 15}$

$m = \frac{12.75}{1.5}$

$m = 8.5$

The equation is then calculated using:

$a = m(t - t_2) + a_2$

So, we have:

$a = 8.5(t - 16.5) + 140.25$

Open bracket

$a = 8.5t - 140.25 + 140.25$

$a = 8.5t$

Solving (10):

$4.8y = 156.24$

Required

Find x

Divide both sides by 4.8

$y = 32.55$

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3 years ago

If m and n can be any integers such that n<4 and 4m - 3n < 20, which of following is the solution set for m?A m <7.25B

soldier1979 [14.2K]

If we multiply the inequality n<4 by 3 we get the following:

$(n$

Now, on the next inequality we have the following:

$\begin{gathered} 4m-3n$

By transitive property, we have:

$\begin{gathered} 3n$

therefore, the solution set for m is m<8

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Answer:

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Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Idenify the numbers that are located below -3.5 on a vertical number line

belka [17]

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The numbers that are located below -3.5 on a vertical number line are all the numbers that are less than -3.5. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

Learn more about the Number line:

brainly.com/question/557284

#SPJ1

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