-2(3x - 9) + 5x = -10
-6x + 18 + 5x = -10
-6x + 5x = -10 - 18
-x = -28
x = 28 <===
Answer:

Step-by-step explanation:

By determining the length of TV using TV^2=15^2+10^2-2(15)(10)cos80, and then determining the value of x using 15^2=TV^2+10^2-2(TV)(10)cosx.
71) The triangle is isos. so the base angles are congruent
2a+b=5b-3a
5a=4b
The angles of a triangle all add up to 180
180=5a -2b + 2a +b + 5b -3a
180=4a+4b
Substitute 4b with 5a
180=4a+5a
180=9a
a=20
And substitute a into the equation: 5a=4b to solve for b and solve for the measurements of the angles
72) Angles that are supplementary add up to 180
8(y-x)+124=180
9x-2y+124=180
8x-8y=56
(9x-2y=56)4
Use elimination to solve for the variables
8x-8y=56
-(36x-8y=224)
-28x=-168
x=48
Substitute x into the other equation to solve for y and find the measurements of the angles
Answer:
We are given that The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
Number of Assemblers(x) One-Hour Production(y) (units)
2 11
4 18
1 7
5 29
3 20
a. Draw a scatter diagram.
Solution : Refer the attached figure
b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
Solution: The equation that shows the relationship between the number of assemblers and production is 
Where y is One-Hour Production (units) and x is the Number of Assemblers
c.Compute the correlation coefficient.
Solution:
Formula of correlation coefficient:![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{[n \sum x^2 -(\sum x)^2][n \sum y^2 -(\sum y)^2]}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Bn%20%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%20%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D)
x y xy

2 11 22 4 121
4 18 72 16 324
1 7 7 1 49
5 29 145 25 841
3 20 60 9 400
Sum: 15 85 306 55 1735
n=5
Substitute the values in the formula :
![r=\frac{5(306)-(15)(85)}{[5 (55) -(15)^2][5 (1735) -(85)^2]}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%28306%29-%2815%29%2885%29%7D%7B%5B5%20%2855%29%20-%2815%29%5E2%5D%5B5%20%281735%29%20-%2885%29%5E2%5D%7D)

The correlation coefficient is 0.00351