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SSSSS [86.1K]
3 years ago
8

george and carmenwent on a bicycle trip. They took a bus to their starting point, and then biked the rest.They traveled 325 kilo

meters in total, and they biked 75 kilometers more than they were bussed. find how many kilometers they traveled by bike.
Mathematics
1 answer:
kondaur [170]3 years ago
7 0
You said they travelled 75 by bike so they would have 250 by the bus
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Please help!!<br> Each pair of polygons is similar. Find the value of x.
Simora [160]

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

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x = 55/4

x = 13.75

------------

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
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