So first thing you need to understand is that ABC and AFE are congruent triangles. This means we can find the other angles, based on ABC:
Angle FAE = 26.56505118 degrees
Angle AEF = 63.43494882 degrees
Angles ECD and DEC are both 45 degrees
Now, we can find the angles in ACE:
AEC = 71.56505118 degrees
ECA = 71.56505118 degrees
CAE = 36.86989764 degrees
To solve this problem, just use multiplication.

You can somewhat think of this situation as a sort of tree. You start with 7 large branches representing the pants, then for every one of those you have 3 medium-sized branches to represent the pairs of pants. Each one of those has 5 sticks for the ties, which in turn each have 6 leaves to represent the jackets and therefore a complete outfit. The solution is found by getting the total number of leaves on the tree.
Answer:
c
Step-by-step explanation:
10 times 8 = 80
80 times 3 = 240
Answer:
X=6
Step-by-step explanation:
If B and C equal 8 and is larger than x than x is a smaller number. D and C is 4 but its smaller than x so x has to be bigger. Your left with 3 choices 5, 6, and 7. Measure it and find out how big x is and its between 6 or 7. If any means they do decimals it can also be 6.5 so x=6 or x=7 or x=6.5
f(x) = 2
-4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2
-4x which is the standard form