17 subtracted from x is:
x-17
x-17 is AT LEAST 19, meaning your inequality sign is going to be a greater than or equal to sign, since it says AT LEAST.
Your expression will be:
x-17≥19
On Friday because if she danced 11 - negative 4 = 15. and 19 - negative 8=27. the closest would be Friday because on that day she danced for 2.6 hours.
Hope it helps.
Rate of change = slope
slope = )y2 - y1) / (x2 - x1)
(0,-4)....x1 = 0 and y1 = -4 (pay attention to the negative sign when subbing)
(3,2)....x2 = 3 and y2 = 2
now we sub
slope(rate of change) = (2 - (-4) / (3 - 0) = (2 + 4) / 3 = 6/3 = 2 <==
Answer:
#1
<u>Sum of interior angles is 180:</u>
- y = 180 - (42 + 31) = 107
<u>The law of sines:</u>
- x / sin 107 = 11 / sin 42
- x = 11 sin 107deg / sin 42deg
- x = 15.72
#2
<u>The law of cosines:</u>
- cos 76 = (6² + 17² - x² )/2(6)(17)
- 204*0.24 = 325 - x²
- x² = 325 - 48.96
- x² = 276.04
- x = √276.04
- x = 16.61
#3
<u>Same as above:</u>
- 2*9.4*10*cos 20 = (10² + 9.4² - x²)
- 176.66 = 188.36 - x²
- x² = 188.36 - 176.66
- x² = 11.7
- x = √11.7
- x = 3.42
#4
<u>Sum of interior angles is 180:</u>
<u>The law of sines:</u>
- x / sin 34 = 15 / sin 94
- x = 15 sin 34 / sin 94
- x = 8.41
