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RoseWind [281]
3 years ago
8

I need help please !!!

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

1. it is given

2. the definition of angle bisector

3. the reflexive property

4. SAS

5. corresponding parts of congruent triangles are congruent

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The 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean because the speed was 4 mph less than
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Alright, lets get started.

Suppose the speed to the ranch = x mph

So, speed to the ocean will be = (x-4) mph (because the speed was 4 mph less than the speed to the ranch)

Distance to the ranch = 888 miles

time moving to the ranch = \frac{distance}{speed}

time moving to the ranch = \frac{888}{x}

time moving to the ocean = \frac{280}{x-4}

As per given in question, the 888 mile trip to the ranch took three times as long as the 280 mile trip to the ocean , means

\frac{888}{x} = 3 * \frac{280}{x-4}

\frac{888}{x}= \frac{840}{x-4}

Corss multiplying

888 (x-4) = 840 x

888 x - 3552 = 840 x

48 x = 3552

x=74

Hence speed to ranch = 74 mph

Hence speed to ocean = 74 - 4 = 70 mph

time for trip to ranch = \frac{888}{74}  = 12 hrs

time for trip to ocean = \frac{280}{70} = 4 hrs

So, speed to ranch is 74 mph and trip time is 12 hrs and speed to ocean is 70mph and time is 4 hrs.

Hope it will help :)

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