The data can be modeled by the following system of linear equations

3x + 20y 180 Equation 1
x+4y 186 Equation 2

Equation 1 is modeled for the percentage of never-married American adults, y. x years after 1970 and Equation 2 is modeled for the percentage of married American adults, y, x years after 1970. Use these models to complete parts a and b a

Determine the year, rounded to the nearest year when the percentage of never-married adults will be the same as the percontage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent will belong to each group?

boxplot e is the answer

i think it’s a i believe

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough