First we'll substitute
with 

Then we can separate this.

Then we'll solve this.



Then we'll plug in to find the extraneous solutions (if any)

Answer: (12) ∠1 = 20° (13) ∠2 = 50° (14) ∠3 = 15° (15) UV = 80° (16) AB = 40° (17) ABC <em>or</em> 180° - CD (18) BC - 140° (19) ABC = 150°
<u>Step-by-step explanation:</u>
12)
(UV - ST) = ∠1
(80 - 40) = ∠1
(40) = ∠1
20 = ∠1
13)
(UV + ST) = ∠2
(70 + 30) = ∠2
(100) = ∠2
50 = ∠2
14)
(VB - BS) = ∠3
(60 - 30) = ∠3
(30) = ∠3
15 = ∠3
15)
(UV - ST) = ∠1
(UV - 20) = 30
UV - 20 = 60
UV = 80
16) ∠1 = arc AB
∠1 = 40
arc AB = 40
17) arc AB + arc BC = arc AC
= 180 = arc CD
18) ∠1 + ∠2 + ∠3 = 180
20 + ∠2 + 20 = 180
∠2 + 40 = 180
∠2 = 140
19) ∠1 + ∠ 2 = arc ABC
∠1 + ∠2 + ∠3 = 180
arc ABC + 30 = 180
arc ABC = 150
Answer: 36
Since the sum of the ratios is 5+7=12
the total number of students must be divisible by 12
The only number within the given range is 36
Answer:
y = 0.008x^2 + 0.518x + 131.886
Step-by-step explanation:
- Make sure your Plot 1 is ON. Select the Scatter Plots and the appropriate lists.
- Clear all functions in [Y=]
- Input data in L1 and L2. Go to [Stat] [Enter] to input data.
- Graph data points. ...
- Choose a regression from the list in [Stat] "CALC". ...
- Go to [ZOOM] "9: ZoomSTat" to view the data with the regression curve.
(credit: CPM Educational Program)
Answer:
q
Step-by-step explanation: