Answer:
Perimeter of the triangle formed by connecting the midpoint of the triangle 
Step-by-step explanation:
Here is an image of the triangles.
The Midpoint Theorem: It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
So we have 
.
We see that by applying midpoint theorem.
Lets say that 
As perimeter is the summation of the side lengths.
Dividing both sides with 
Now replacing 
with 
and following the same for the rest.
We will have: 
.
So the perimeter of the triangles formed by the midpoints of the triangle 
Answer:
156.6 or 156 with a remainder of 3
Step-by-step explanation:
Answer:
Marina's design uses more cardboard.
in Kristen's design, it uses:
3*4/2*2+10*5+3*10+4*10=132 sq inches.
in Marina's design, it uses:
6*3*2+3*7*2+7*6*2=162 sq inches.
132<162
Therefore Marina's design uses more cardboard.
The difference between 2 designs are:
162-132
=30 sq inches
Answer:
The equation that can be used to solve for a is 1 = a(0=1)²-3.
Explanation:
In this case, I would model the parabola in vertex form. Vertex form is y = a(x-h)²+k, where (h,k) is the vertex of the parabola. Using the information from the question, we can plug in values to get 1 = a(0+1)²-3. (This could be simplified as 1 = a(1)²-3 ⇒ 1 = a-3 ⇒ a = 4, but we are only interested in finding the equation that can solve for a.)
