Please Help I will give you 100 points! The average yearly salary of a construction worker is $11 thousand less than three times that of a fast-food worker. Combined a fast-food worker and a construction worker earn $65 thousand. Find the average yearly salary of a fast-food worker and a construction worker.

Here is how to do the problem

x=construction worker salary

y=fast food worker salary

x+y=65

x+11=3y

Substitution.

x=65-y

65-y+11=3y

4y=76

y=19

x+19=65

x=46

const. worker salary = 46k

fast food = 19k

m∠a is 90°

m∠b is 40°

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