a survey asked 35 randomly chosen employees whether they bring lunch or buy it in the cafeteria. Of the 35 surveyed, 20 bring lu
1 answer:
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see the attached figure to better understand the problem
we know that
If a and b are parallel lines
then
m∠1=m∠4 --------> by alternate exterior angles
m∠3+m∠4= --------> by supplementary angles
so
m∠3+m∠1=
therefore
<u>the answer is the option</u>
m∠1 = 110° and m∠3 = 70°
Well there's two ways to approach this:
1.) Finding the width and going from there
2.) Finding the scale factor
I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is
.
The area is multiplied, not added, so you have to <em>square</em> the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95
1.) Finding the width and going from there
2.) Finding the scale factor
I would recommend using the scale factor technique. You see how the length is reduced by a factor of 4? Well since the perimeter's formula involves adding length times width, you can just multiply the perimeter by 1/4 since the length went from 44 to 11(Just a rule, take it by heart). That means that the perimeter is
The area is multiplied, not added, so you have to <em>square</em> the scale factor. This means multiply the area by 1/16 (Another rule, take it by heart). This means that the area is [tex]\frac{1496}{16} = between 94 and 95