First, note that x+21 and 3x+9 are "complementary angles;" they add up to 90 degrees. Thus, 4x + 30 = 90 degrees, so that 4x = 60 degrees, and x = 15 degrees.
Answer:
Step-by-step explanation:
Let x represent the number of calls made with plan 1 in a month.
Let y represent the number of calls made with plan 2 in a month.
Plan 1 charges $25 per month for unlimited calls. This means that the total cost of x calls made with plan 1 in a month would be $25
Plan 2 charges $15 per month plus $0.04 per call. This means that the total cost of x calls made with plan 1 in a month would be
15 + 0.04x
a) for the number of calls for which Plan 1 is more economical than Plan B, it becomes
25 < 15 + 0.04x
25 - 15 < 0.04x
10 < 0.04x
0.04x > 10
x > 10/0.04
x > 250
b) plan 1 would be more economical when the calls per month exceed 250.
Since point M is the midpoint of LN, LM and MN are equivalent in length.
7x - 12 = 3x + 16 (LM=MN)
7x = 3x + 28
4x = 28
x = 7
Now that we know the value of x, we can find the value of LM by plugging the value in the equation.
LM = 7(7) - 12
LM = 49 - 12
LM = 37
Answer:
The answer is B m=-
Step-by-step explanation:
The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: 
Given that:
Let the number of months be t. So, the function C(t) is calculated as follows:
The range is calculated as follows:
The smallest possible value of t is 0 i.e. when no monthly subscription is done.
So, we have:
And the highest is 
i.e. for a large value of t
So, we have:
Hence, the range of the function is:
Read more about range of functions at:
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