Two High Schools ordered AP Chemistry text book from the same book store. A New Hampshire school has ordered 80 copies, while a Vermont school ordered only 55 copies. The store has 70 books in its warehouses in Massachusetts and 100 books in the other warehouse in New York. Shipping one copy from Massachusetts to New Hampshire costs $2 and from Massachusetts to Vermont costs $3. Shipping from New York’s warehouse is respectively $2.5 and $1.7. How many copies should the company ship from each warehouse to each school to minimize the shipping costs on these two orders?

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

so first lets findout how much she spent so whats 32.00 - x = 9.20

32.00 - 22.75 =9.25. so she spent a total of $22.75 okay now we know the amount she spent. so now u got it from here.

by definition every angles supplementary opposite by vertex are congruent