Answer:
- a) 60°
- b) 80°
- c) 100°
- d) 50°
- e) 30°
Step-by-step explanation:
The key here is that AB ║ EC. This makes arc AE have the same measure as arc BC. Since those have the same measure as AB and the three arcs together make a semicircle, each has measure 180°/3 = 60°.
Then the various arc measures are:
- AB = 60°
- BC = 60°
- CD = 80° (given)
- DE = 100° . . . . . since CDE is 180°
- EA = 60°
Then your answers are ...
a) AE = 60°
b) ∠ABD = (1/2)(DE +EA) = (1/2)(100° +60°) = 80°
c) ∠DFC = (1/2)(CD +EB) = (1/2)(80° + (60° +60°)) = 100°
d) ∠P = (1/2)(DA -AB) = (1/2)(100° +60° -60°) = 50°
e) ∠PAB = (1/2)(AB) = (1/2)(60°) = 30°
Answer:
Step-by-step explanation:
You have to first enter these values into a table. You find that table on your calculator at "stat" then "edit". In L1, enter all the x values, hitting "enter" after each entry. Then arrow over to L2 and enter all the y values. When you are done, hit "stat" again, then "calc" and choose 4 LinReg, then hit enter. If you do not see the r and r-squared values, then you need to turn on your diagnostics. To do this, hit 2nd, then 0 to pull up your catalog. Hit the 
button and that brings up all the D's in your catalog. Arrow down til you see "DiagnosticsOn" and hit enter. Then hit enter again. Go back to "stat", "calc", "4 LinReg" and hit either enter or calculate (it depends upon which calculator you have. The TI 83 just needs the "enter" button, while the TI84 family requires that you scroll down to the word "calculate" and hit "enter"). Then when the linear regression equation comes up, you will see underneath it both the correlation coefficient (r) and the coefficient of determination (r-squared). You should see that your r value is .84 for this data set. Just so you know, r can be negative, but r-squared never will be.
Answer:
y = - 10x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here slope m = - 10, hence
y = - 10x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 10 + c ⇒ c = 4 - 10 = - 6
y = - 10x - 6 ← equation of line
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
