Let us find the co ordinates of each vertex of the triangle .
Vertex A ( in firs second quadrant) = ( -5 ,3)
vertex B in third quadrant = ( -5, -5)
vertex C in fourth quadrant = ( 4, -2)
let us use distance formula AB^2 = ( -5 - 3)^2 + (-5 - -5 )^2 = 64 + 0
AB= 8
BC^2 = ( -2 - -5 )^2 + ( 4 - - 5)^2 = 9 + 81 = 90
BC = 9.48
AC^2 = ( -2 -3)^2 +( 4- -5)^2 = 25 + 81 = 106
AC= 10.29
Perimeter = sum of length of AB+ BC+ Ac = 8 + 10.29 + 9.48= 22.77
Albert´s ftather age=x
Albert age=y
We suggest this system of equations:
y=x-24
x+8=2(y+8)
we solve this system of equation by substitution method.
x+8=2[(x-24)+8]
x+8=2(x-16)
x+8=2x-32
x-2x=-32-8
-x=-40
x=40
y=x-24
y=40-24
y=16
Answer: Albert´s father is 40 years old, and Albert is 16 years old.
Yes
15+14 > 19 true
15+19 > 14 true
14+19 > 15 true
If all the statements are true then it’s a right triangle.
A. 1 cup and 1/3
B. 2
C. 2 bags of almonds and also 2 bags of raisins
