m∠L = 5x - 28
m∠N = 3x - 10
m∠L ≡ m∠N
5x - 28 = 3x - 10
- 3x - 3x
2x - 28 = -10
+ 28 + 28
2x = 18
2 2
x = 9
m∠L = 5x - 28
m∠L = 5(9) - 28
m∠L = 45 - 28
m∠L = 17
m∠N = 3x - 10
m∠N = 3(9) - 10
m∠N = 27 - 10
m∠N = 17
x + 17 = 180
- 17 - 17
x = 163
m∠O = 163
Answer:
The rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
Step-by-step explanation:
Amount invested = $1000
Total interest income over the course of 3 years = $120
Number of years = 3
Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40
The interest ate on the $1000 invested can now be calculated as follows:
Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%
Therefore, the rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
The cosine of 30° is √3 / 2.
Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.
The cosine of 45° is √2 / 2.
Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula 
and substitute the x and y values of those points into it, then simplify:
So, the slope is 
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for 
and 
in the slope-intercept formula, 
, to write the equation of the line. Since represents the slope, substitute for it. Since represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:
