Answer:
<h2><em><u>7</u></em><em><u>.</u></em><em><u> </u></em><em><u><</u></em><em><u>B</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>129</u></em><em><u>°</u></em></h2><h2><em><u>8</u></em><em><u>.</u></em><em><u> </u></em><em><u><</u></em><em><u>N</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>85</u></em><em><u>°</u></em></h2>
Step-by-step explanation:
7. <A + <B = 180° <em>[</em><em>Since</em><em> </em><em>Co-interior</em><em> </em><em>angles</em><em>]</em>
=> 51° + <B = 180°
=> <B = 180° - 51°
=><em><u> <B = 129° (Ans)</u></em>
8. <M + <N = 180° <em> </em><em>[</em><em>Since</em><em> </em><em>Co-interior</em><em> </em><em>angles</em><em>]</em>
=> 95° + <N = 180°
=> <N = 180° - 95°
=> <em><u><N = 85° (Ans)</u></em>
Speed of the boat = u
speed of the current = v
In downstream,
u - v = 280/7
u - v = 40
In upstream,
u + v = 280/14
u + v = 20
Add both equations
2u = 60
u = 30
v = -10
Speed of the boat = 30 km/h
Answer:
2.25
Step-by-step explanation:
Put the ages in each list in order from smallest to largest.
Smith: 62, 63, 63, 64, 64, 65, 66, 66, 67, 68
Thompson: 75, 76, 76, 77, 78, 78, 79, 80, 80, 81
Find the mediant (number in the middle of the sorted list). There are 10 numbers in each list, so average the 5th and 6th numbers because they are nearest the middle.
Smith: (64 + 65)/2 = 64.5
Thompson: (78 + 78)/2 = 78
The difference between the medians is 78 - 64.5 = 13.5
The range (the difference between smallest and largest age) is 6 for each of the two lists.
13.5 = (multiplier)(6)
multiplier = 13.5 / 6 = 2.25
