<h3>Answer: Choice B) 8.57</h3>
==================================================
Explanation:
The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.
The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well. 
Therefore: AB/DE = AC/DF
Let's plug in the given values and isolate x
AB/DE = AC/DF
11/7 = (15+x)/15 ...... substitution
11*15 = 7*(15+x) ....... cross multiply
11*15 = 7*15+7*x ...... distribute
165 = 105+7x
165-105 = 105+7x-105 ..... subtract 105 from both sides
60 = 7x
7x = 60
7x/7 = 60/7 ............ divide both sides by 7
x = 8.57142857142858
x = 8.57 ..... rounding to the nearest hundredth
 
        
        
        
All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y
My choice would be to solve for x using the first equation.
_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35
 
        
        
        
Answer:
I think that I am right.  One train is traveling at 75 mph and the other train is traveling at 91 mph
Step-by-step explanation:
 
        
             
        
        
        
Answer:
   -12.5%
Step-by-step explanation:
The percentage change in your time can be computed using ...
   pct change = ((new value)/(old value) -1) × 100%
   = (28/32 -1) × 100%
   = (0.875 -1) × 100% = -12.5%
The time to finish level 2 decreased by 12.5%.
 
        
             
        
        
        
Categorical data may or may not have some logical order
while the values of a quantitative variable can be ordered and
measured.
 
Categorical data examples are: race, sex, age group, and
educational level
Quantitative data examples are: heights of players on a
football team; number of cars in each row of a parking lot
 
a) Colors of phone cover - quantitative
b) Weight of different phones - quantitative
c) Types of dogs - categorical
d) Temperatures in the U.S. cities - quantitative