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zimovet [89]
3 years ago
10

Which statement is used to prove that quadrilateral abcd is a parallelogram

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

Opposite sides must be congruent.

Step-by-step explanation:

Given is a picture of a quadrilateal ABCD

We have to prove that this is a parallelogram.

Recall the properties of parallelogram as

i) diagonals bisect each other

ii) opposite sides parallel

iii) opposite sides congruent

or iv) one pair of opposite sides equal and parallel

We have hence to get opposite sides congruent

So last option is right

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4^2/4^6<br><br> Options:<br> 4^-3<br> 4^3<br> 4^-4<br> 4^4
Vlad [161]
Hello!

The rule regarding the division of exponents states the following:

\frac{ B^{x} }{ B^{y} } = B^{x-y}

Insert any known values into the formula above:

\frac{ 4^{2} }{ 4^{6} } = 4^{2-6}

Simplify the expression:

4^{2-6} = 4^{-4}

We have now proven that \frac{ 4^{2} }{ 4^{6} } is equal to 4^{-4}.

I hope this helps!
8 0
3 years ago
Read 2 more answers
A parking lot has 117 spaces total. If 36 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
Murrr4er [49]

Answer:

81:36

Step-by-step explanation:

117-36

= 81

Boom answer that's it

5 0
3 years ago
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Write 3 ½% as a fraction
jeka57 [31]

Answer:

  7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

3 0
4 years ago
Please show how to solve! 20 Points!<br> 3(x+2)^3/5 +3=27
Lemur [1.5K]

Answer:

x=30

Step-by-step explanation:

3(x+2)^3/5 +3=27

Subtract 3 from each side

3(x+2)^3/5 +3-3=27-3

3(x+2)^3/5 =24

Divide by 3

3/3(x+2)^3/5 =24/3

(x+2)^3/5 =8

Take everything to the 5/3 power to get rid of the exponent on the left side

(x+2)^3/5 ^ 5/3=8 ^ 5/3

Remember that a^b^c = a^ (b*c)

(x+2)^(3/5 * 5/3)=8 ^ 5/3

(x+2)=8 ^ 5/3

Replace 8 with 2^3

(x+2)=2^3 ^ 5/3

Remember that a^b^c = a^ (b*c)

(x+2)=2^(3 * 5/3)

x+2 = 2^5

x+2 = 32

Subtract 2 from each side

x+2-2 = 32-2

x=30

4 0
3 years ago
How much time does it take to walk 12 km north at a velocity of 6.5 km/hr?<br> V=<br> D=<br> T=
seropon [69]
The answer is 1.8461 hr
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3 years ago
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