Answer:
x = 20
Step-by-step explanation:
In similar polygons, all corresponding sides are proportional. The scale factor between AB and DE is the same as between AC and DF.

You can confirm that by plugging it back into the original equation:

Answer:
144
Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes
To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144
This means that the tree diagram would have 144 leaves to represent all possible combinations.
Hope this helps :)
Answer: B.) vertex
Step-by-step explanation:
Two angles are complementary if they add up to 90 degrees so we would need to know angle BFE is 90 degrees to identify it as complementary.
Answer:
22 rides
Step-by-step explanation:
Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".
<u>Playland Park:</u>
Fixed Cost = 7
Variable Cost = 0.75x (in dollars)
Equation = 7 + 0.75x
<u>Funland Park:</u>
Fixed Cost = 12.50
Variable Cost = 0.50x (in dollars)
Equation = 12.50 + 0.50x
Now we equate and solve for x:

Hence,
the cost would be same for both parks for 22 rides