Answer:
x = 30
Step-by-step explanation:
So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.
105 + 45 = 150. So then we can subtract 150 from 180
180 - 150 = 30
And for the angle at angle L, it's also 90 degrees.
So we know that the angles that add up so far are 120.
Now we'll make an equation:
2x + 120 = 180
Because all angles of a triangle add up to 180
So we subtract 120 from both sides
2x = 60
Now we divide 2 form both sides.
x = 30
So, x = 30
Answer:
C
Step-by-step explanation:
Slope Formula is used from 2-5
Which is
Slope Formula = Rise/Run
Slope Formula = y₂-y₁/x₂-x₁
Answer:
y($) = 405- 20x
Step-by-step explanation:
Number of short driveways = x
Number of long driveways = 9-x
Fee per long driveway = $45
Fee per short driveway= $25
Total amount = y
y ($) = 25x + 45 (9-x)
= 25x + 405 -45x
= 405- 20x
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then:
Answer:
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Step-by-step explanation:y
