Which method would prove the quadrilateral is a parallelogram?

Mathematics

1 answer:

Maurinko [17]3 years ago

3 0

Answer:

Answer: Each pair of opposite sides has the same measure. Therefore, they are congruent. If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.

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40 hours is what part of 120 hours

Yanka [14]

Answer:

1/3 part of 120 hours....

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3 years ago

Q: Write the slope intercept form of the equation of the line through the given point with the given slope.

Lelechka [254]

6)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 0
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=0(x-2)
\\\\\\
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8)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=3(x-5)
\\\\\\
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7 0

3 years ago

: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.

Troyanec [42]

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

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4 years ago

) Determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

yanalaym [24]

Answer: 0.4512

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A bit string is sequence of bits (it only contains 0 and 1).

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i.e. P(0)= P(1)= $\dfrac{1}{2}$

The length of bits : n = 10

Let X = Number of getting ones.

Then , $X \sim Bin(n=10,\ p=\dfrac{1}{2})$

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