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Sindrei [870]
1 year ago
12

Quadrilateral ABCD?​

Mathematics
1 answer:
Mashutka [201]1 year ago
6 0

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = \sqrt{(-2 - 2)^{2}  + (-5 - 4)^{2} }

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

#SPJ9

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Solve the following exponential equation by taking the natural logarithm on both sides. Express the solution in terms of natural
Cloud [144]

Answer:

-\frac{ln(662)-2}{4}

{-1.12}

Step-by-step explanation:

e^{2 - 4x} = 662

Solve this exponential equation using natural log

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ln(e^{2 - 4x}) = ln(662)

As per the property of natural log , move the exponent before log

2-4x(ln e) = ln(662)

we know that ln e = 1

2-4x= ln(662)

Now subtract 2 from both sides

-4x= ln(662)-2

Divide both sides by -4

x=-\frac{ln(662)-2}{4}

Solution set is {x=-\frac{ln(662)-2}{4}}

USe calculator to find decimal approximation

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2 years ago
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it´s a polygon. letter c (decagon) should be right

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What are the factors of expression (y-3)(x+7)
torisob [31]
That is easy!! :)
y=3 and x=-7

When you find the factors of something like this, you have to just get the letter alone.

For example: y-3. You have to first write it as y-3=0, then you add 3 from BOTH sides of the = so that you can make the -3 go away and y will be alone. So, it will look like this: y-3+3=0+3. Then, you solve it for y (which just means that you want y by itself on one side of the = ). So, -3+3=0, which means they disappear from that side; since 0+3=3, that's what that side turns into, so what you end up with is y=3

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4 0
3 years ago
P(x) = 2x3 − x2 + 10x; <br><br> a 1/2 <br><br><br><br> b 5<br><br><br> c 0<br><br><br> d 2
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Answer:

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Step-by-step explanation:

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2 years ago
Share £180 in the 4:5
marissa [1.9K]
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Answer:
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hope it helped :)
4 0
3 years ago
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