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The table below shows the the total cost of admittance for a basketball game,y, for x students

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1 answer:

Aliun [14]3 years ago

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Answer:

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Step-by-step explanation:

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AB bisects CD at point M, CD bisects AB at point M, and AB = 4 x CM. Describe the relationship between AM and CD

padilas [110]

$\text{Given that AB bisects the line segment CD at the point M,}\\
\text{And CD bisects the line segment AB at the point M. so M is the }\\
\text{midpoint of both the line segements AB and CD.}\\
\\
\text{also we have given a relation that, }AB=4\times CM\\
\text{and we need to find a relation between AM and CD.}\\
\\
\text{observe that since M is the midpoint of CD, so we have }CD=2\times CM\\
\\
\Rightarrow CM=\frac{CD}{2}$

$\text{and M is midpoint of AB, so }AB=2\times AM\\
\\
\text{so with these substitutions, the given realtion gives}\\
\\
AB=4\times CM\\
\\
\Rightarrow 2\times AM=4\times \frac{CD}{2}\\
\\
\Rightarrow 2\times AM=2\times CD\\
\\
\Rightarrow AM=CD$