Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
Answer:
The area of the given triangle ABC is 10 units.
Step-by-step explanation:
we have the area of the triangle when points are given is given by the relation
Area of triangle=

and hence putting the Value
triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))
= 1/2*(0+2*(-5)+(-2)*5)
= 1/2*(-10-10)
= 1/2*(-20)
= (-10) units
Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.
Answer:
Step-by-step explanation:
g(x) = 0
0=-5x+5
5x=5
x=1