The reasons would be:
alternate interior angles
vertical angles
AAA (all angles are congruent)
Since we know that the two line segments are parallel, this means that BC is a transversal. Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.
AEB and DEC are vertical angles, since they share only a vertex.
This gives us 3 congruent angles, so the triangles must be similar.
Answer:
Step-by-step explanation:
commission from sale of $32,000 = $32,000 x 4% = $1,280
Suppose sales would double, comission would be doubled too.
Assume sales be S and commission be C
C = S * 4% (they have a linear positive relation)
if S double to 2S, new commission = (2S)*4% = 2*(S*4%) = 2 (old commission)
The answer is 33 meters
use the Pythagorean theorem
56^2+x^2=65^2
3136+x^2=4225
x^2=1089
x=33
Answer:
Step-by-step explanation:
Start with h(t) = -16t^2 + initial height, which here is h(t) = -16t^2 + 1296. Set this = to zero, which corresponds to the object hitting the ground (h = 0):
0 = -16t^2 + 1296. Dividing all terms by -16, we get t^2 = 81, whose positive square root is 9. It takes 9 seconds for the object to hit the ground.