Triangle ABC is similar to triangle DEF . What is the scale factor from triangle ABC to triangle DEF ? 3 4 5 6

Mathematics

1 answer:

Anit [1.1K]3 years ago

5 0

In order to figure this out you have to divide the values of the new triangle (DEF) by the values of the original triangle (ABC).

Line DF and Line AC --> 9 / 3 = 3
Line DE and Line AB --> 6 / 2 = 3

so, you can conclude the scale factor is 3.

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188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

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And the the number of adults admitted be $y.$

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$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$