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ladessa [460]
3 years ago
10

Tory and her friend Terrence ride their bikes to school each day. On one particular day, Tory started out 5 minutes before Terre

nce. Tory rides at a rate of 880 feet per minute and Terrence rides at a rate of 1.056 feet per minut
How long had Tory been riding when Terrence caught up with her?
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

4:30 minutes im thinking

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

From the above diagram,

∆BAC ~∆DEF

It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides

This means for the above question, that

We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²

The small triangle has a side of 3in

Finding the scale factor k = ratio of the sides of both Triangles

k = 4/3

k² = (4/3)²

k² = 16/9

Hence,

Area of ∆BAC/ Area of ∆DEF = 16/9

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Divide both sides by 16

Area of ∆DEF = 72/16

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Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²

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