where
s = arc length
n = measure of central angle
r = radius
Which of the following are names for the plane above?
2 answers:
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where
s = arc length
n = measure of central angle
r = radius
Answer: Sam = $225 George = $300
<u>Step-by-step explanation:</u>
NOTES:
Sam: s
George: g = s + 75
Together: s + g = 525
a.
The two equations that can be created are "George" and Together"
The system is:
b.
see attached graph
c.
The intersection of the two lines is at (225, 300). Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.
BONUS:
This system can also be solved algebraically using the substitution method.
Replace "g" with "s + 75" into the second equation:
s + (s + 75) = 525
2s + 75 = 525
2s = 450
s = 225
Next, input the s-value into the George equation to solve for g:
g = s + 75 = (225) + 75 = 300
Answer:
∠ EML = 94°
Step-by-step explanation:
See the attached diagram.
The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.
Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°
Hence, (x + 97) + ( x + 66) + 141 = 360
⇒ 2x + 304 = 360
⇒ 2x = 56
⇒ x = 28
So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)
