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Kamila [148]
3 years ago
8

Last year, Nancy bought a mountain bike for $570. Her bike has depreciated since she bought it. It is now worth $410. What perce

nt did the value of Nancy’s bike depreciate over the past year? Round the the nearest whole percent.
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
It’s worth about 72% of the original value so about a 28% depreciation over the year
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CD = x
BC = y
AB = 85
BD = BC+CD = y+x

tan(angle) = opposite/adjacent
tan(28) = BC/AB
tan(28) = y/85
85*tan(28) = y
y = 85*tan(28)
y = 45.1953016912257

tan(angle) = opposite/adjacent
tan(31) = BD/AB
tan(31) = (y+x)/85
tan(31) = (45.1953016912257+x)/85
85*tan(31) = 45.1953016912257+x
51.0731526173427 = 45.1953016912257+x
51.0731526173427-45.1953016912257 = 45.1953016912257+x-45.1953016912257
5.877850926117 = x
x = 5.877850926117

So CD is roughly 5.877850926117 meters

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Total number of lights = 71 + 1 = 72

Answer  72 lights
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NO.C To use SSS to prove
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