The senior classes at high school A and high school B planned separate trips to the water park. The seniors of high school A rented and filled 6 vans and 1 bus with 90 people. High school B rented and filled 6 vans and 8 busses with 258 people. Every van had the same amount of people in it as did the busses. How many people can fit in a van? How many people can fit in a bus?

step-by-step explanation:

what is the figure? attach a picture.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

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

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.