Since line c and d are parallel, line a can act as a transversal. Thus, x=124 degrees because of the alternate exterior angle relationship that can be seen.
Given:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.
To find:
The graph that represents the set of heights that satisfy this requirement.
Solution:
Let x be the height required for the ride.
Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.

So, 54 and all values above 54 are in the solution set.
Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.
Therefore, the correct option is C.
The pentagon's area is the sum of the 5 triangles that comprise it. This is

where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
Answer:
1. x = 7/2 + 5y/2
2. x = 3/4 - 5y/8
3. x = 1/8 = 5y/8
Step-by-step explanation:
Thats all i can do. Its too confusing
Answer:
<em>C. 3.8 years</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).
We have enough information to write the exponential model:


It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

Dividing by 800:

Taking logarithms:

Dividing by log 1.2:

Calculating:
t = 3.8 years
Answer: C. 3.8 years