Answer:
(i)
<u>Given</u>
<u>Also we see that</u>
- ∠ABC = ∠DBE as refer to same angle
<u>Since two angles of triangles are congruent, the triangles are similar by </u><u>AA similarity postulate</u>
(ii)
<u>In similar figures corresponding parts have same ratio. Use ratios to find the value of x:</u>
- AB/EB = AC/ED
- 12/8 = x / 4
- x = 4*12/8
- x = 6 cm
Answer: 2/3 left and 1/3 used
Answer:
107 inches
Step-by-step explanation:
28+45+x=180
x=180-28+45
x=180-73
x=107
<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.
To get the answer, divide 36 by 7. And the answer of that is 5.1428571428571429
