What reason should kamal add to all of the question marks in order to completer the proof
1 answer:
Answer: The answers is alternate interior angles.
Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).
For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.
For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.
For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.
For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.
Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.
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where (h,k) are the coordinates of its vertex.
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula:
, and then we are going to evaluate our function at 
to find 
.
We know for our problem that
, and 
, so lets replace those values in our vertex formula to find :
Now, we are going to evaluate our function at -6 to find:
Now that we have our vertex, where and ; lets replace those values in our vertex form equation:
![f(x)=-5[x-(-6)]^{2} +(-1)](https://tex.z-dn.net/?f=f%28x%29%3D-5%5Bx-%28-6%29%5D%5E%7B2%7D%20%2B%28-1%29)
We can conclude that the vertex form of our function is, and its vertex is (-6,-1).
The first thing we need to do is find the vertex (h,k) and to do that we are going to use the vertex formula:
We know for our problem that
Now, we are going to evaluate our function at -6 to find
Now that we have our vertex, where
We can conclude that the vertex form of our function is