Answer:
![\angle 1=39\textdegree](https://tex.z-dn.net/?f=%5Cangle%201%3D39%5Ctextdegree)
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle always equal 180. Therefore:
![\angle 1+\angle Y+102=180](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%20Y%2B102%3D180)
Let's subtract 102 from both sides. This yields:
![\angle 1+\angle Y=78](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%20Y%3D78)
Now, notice the that both ∠1 and ∠Y have exactly one arc mark.
Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:
![\angle 1=\angle Y](https://tex.z-dn.net/?f=%5Cangle%201%3D%5Cangle%20Y)
So, we can substitute ∠Y for ∠1 for our equation. This yields:
![\angle 1+\angle 1=78](https://tex.z-dn.net/?f=%5Cangle%201%2B%5Cangle%201%3D78)
Combine like terms:
![2\angle 1=78](https://tex.z-dn.net/?f=2%5Cangle%201%3D78)
Divide both sides by 2. So, the measure of our angle is:
![\angle 1=39\textdegree](https://tex.z-dn.net/?f=%5Cangle%201%3D39%5Ctextdegree)
And we're done!
Answer:
39.63
Step-by-step explanation:
If the number after the place you are rounding to is 4 or lower, then you round down. If it is 5 or higher round up.
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4
Answer:
40%
Step-by-step explanation:
The profit margin is given by the gross profit divided by total sales.
In this case, Gadget mania has a gross profit of $6 per microphone, while each microphone sells for $15.
Therefore, the profit margin is:
![P=\frac{6}{15}\\P=0.4=\frac{40}{100}= 40\%](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B6%7D%7B15%7D%5C%5CP%3D0.4%3D%5Cfrac%7B40%7D%7B100%7D%3D%2040%5C%25)
Gadget Mania's profit margin is 40%.