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Murljashka [212]
3 years ago
14

If ΔABC is dilated by a scale factor of 2 with a dilation center at vertex A, by what factor does the area of the triangle incre

ase?

Mathematics
2 answers:
Furkat [3]3 years ago
8 0

Area is measured in square units.

The area would increase by the scale factor squared.


Area increases 2^2 = 4


The area increases by a factor of 4.

monitta3 years ago
6 0

Question:If ΔABC is dilated by a scale factor of 2 with a dilation center at vertex A, by what factor does the area of the triangle increase?

Answer:factor is 4

explanation:Area increases 2^2 = 4  area is simple multiplication like whats the surface of the triangle you just multyply

question answered by

(jacemorris04)

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Which equation could be used to solve this problem? A number n is 8 less than the sum of 20 and 12. Find the number.
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PLEASE HELP ASAP!!!
barxatty [35]

Answers:

  • <u>24000 dollars</u> invested at 4%
  • <u>18000 dollars</u> was invested at 7%

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

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

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

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

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