Option A:

Solution:
ABCD and EGFH are two trapezoids.
To determine the correct way to tell the two trapezoids are similar.
Option A: 
AB = GF (side)
BC = FH (side)
CD = HE (side)
DA = EG (side)
So,
is the correct way to complete the statement.
Option B: 
In the given image length of AB ≠ EG.
So,
is the not the correct way to complete the statement.
Option C:
In the given image length of AB ≠ FH.
So,
is the not the correct way to complete the statement.
Option D:
In the given image length of AB ≠ HE.
So,
is the not the correct way to complete the statement.
Hence,
is the correct way to complete the statement.
The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.
How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.
1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.
6C + 7S = $174
10C + 14S = $318
2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.
-12C - 14S = -$348
10C + 14S = $318
Combine like terms.
-2C = $30
Divide by -2 on both sides. The left side cancels out.
C = $30/-2
C = -$15 (In this case the negative doesn't matter)
C = $15 (cost of senior citizen ticket)
Plug the value of C into any of the two equations so we can get the value of S.
6($15) + 7S = $174
Distribute the 6 into the parenthesis.
$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.
7S = $84
Divide both sides by 7.
S = $12
Student ticket: $12
Senior citizen ticket: $15
Answer:
Option c
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 
Answer:
C
Step-by-step explanation:
A models an exponentially increasing function.
B models an exponentially decreasing function.
C models a "bell" curve, similar to the one shown.
D models a "logistic" function, an s-shaped curve that smoothly transitions between two horizontal asymptotes.
Answer:
m = 3
Step-by-step explanation:
Find the slope of the line connecting (-2,-3) and (-4,-9). (Note: you must use those parentheses.)
As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3. The slope of this line is m = rise / run = 6/2 = 3.