Answer:
HUH!!!??
Step-by-step explanation:
Largest integer: 57
x + x + 1 + x + 2 = 168
3x + 3 = 168
-3 -3
3x = 165
/3 /3
x = 55
x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57
The 3 inside angles need to equal 180.
Subtract E from 180 to find the sum of the other two angles:
180 - 104 = 76
Now because EF ≅ DE , angle D and F would be the same so divide 76 by 2
Angle D = 38
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Collin
22 years = 55,000 USD
+15 years
37 years = 2 x 55,000 = 110,000 USD
+15 years
52 years = 2 x 110,000 = 220,000 USD
Cameron
22 years = 35,000 USD
+10 years
32 years = 2 x 35,000 = 70,000 USD
+10 years
42 years = 2 x 70,000 = 140,000 USD
+10 years
52 years = 2 x 140,000 = 280,000 USD
+10 years
62 years = 2 x 280,000 = 560,000 USD
Retirement Salaries
Collin = 220,000 USD
Cameron = 560,000 USD
