Andrew is writing a coordinate proof to show that the triangle formed by connecting the midpoints of the sides of an isosceles t
riangle is itself an isosceles triangle. He starts by assigning coordinates as given.
2 answers:
Answer: Coordinate of P = (a,b)
Coordinate of Q = (3a,b)
Coordinates of r= (2a,0)
Step-by-step explanation:
Andrew draw mid points P,Q and R on the sides of triangle DEF at DE,DF and EF respectively.
To fill the boxes we need to find the coordinates of the midpoints
As P is the mid point of DE then coordinate of P =
Similarly Q is the midpoint of DF then coordinates of Q=
Now, R is the midpoint of EF then coordinates of r =
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Here we are given that the Alligator's tail length t varies directly as its body length b.
Using this given information and taking k as constant of proportionality, we get this equation :
.................(1)
Now we are given:
body length (b) = 4 feet
tail length (t) = 2.5 feet
plugging these values in equation (1) we have,
from here we can calculate the value of k, dividing both sides by 4
k=2.5/4 = 0.625.............(2)
Now we have to find tail length of alligator if body length is 3.2 feet.
so plugging b=3.2 and k=0.625 in equation (1)
t= 2
So tail length is 2 feet when body length of alligator is 3.2 feet.
Answer:
The 80 p0und bag will last 128 days.
Step-by-step explanation:
In order to find out how much days the 80 pound bag last we have to divide the 80 pounds by the among that the dog eats each day. And so we get.....
80 / =
=
=
= 128