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3 years ago

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain

Mathematics

2 answers:

Anna007 [38]3 years ago

6 0

The properties of a parallelogram:

1. opposite sides are parallel

2. opposite sides are equal in length

3. opposite angles are equal

4. diagonals bisect each other

if XN=NZ and NY=NW, then

XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal

The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)

This was a word pasta but hope this helps

marta [7]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

This is a paralleogram. The diagonals bisect each other

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8.75 x 10 ^3 in standard form

Sveta_85 [38]

Answer:

8.75×10^3

Step-by-step explanation:

here is the answer

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3 years ago

Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

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3 years ago

I am offering another 100 points

Ivahew [28]

Answer:

$\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.$

Step-by-step explanation:

Perfect squares: 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...

To find $\sf \sqrt{75}$ , identify the perfect squares immediately before and after 75:

64 and 81

$\begin{aligned}\sf As\;\; 64 < 75 < 81\; & \implies \sf \sqrt{64} < \sqrt{75} < \sqrt{81}\\&\implies \sf \;\;\;\;\;8 < \sqrt{75} < 9 \end{aligned}$

$\sf Since \;\sqrt{\boxed{64}}=\boxed{8}\;and\;\sqrt{\boxed{81}}=\boxed{9}\; \textsf{it is known that $\sqrt{75}$ is between}\\\\\sf \boxed{8}\;and\;\boxed{9}\;.$

See the attachment for the correct placement of $\sf \sqrt{75}$ on the number line.

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1 year ago

Read 2 more answers

the perimeter of a rectangle is 160ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangl

Hitman42 [59]

Answer:

w = 80/9 ft.

L = 640/9 ft.

Step-by-step explanation:

L = length w = width

2w = L/4 so 8w = L

160 = 2L + 2w

160 = 2(8w) + 2w

160 = 16w+2w

160 = 18w

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3 years ago

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Vladimir79 [104]

Hello! As e increases, the value of 3 will increase as well, making the answer A! Hope this helped you! :)

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3 years ago