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nika2105 [10]
3 years ago
10

In RST, R = 23* and S = 136*. Which list has the sides of RST in order from shortest to longest?

Mathematics
2 answers:
Alik [6]3 years ago
7 0

Answer:

  • RS, ST, TR

Step-by-step explanation:

<u>The third angle measures:</u>

  • T = 180° - (136° + 23°) = 21°

<u>Angles and opposite sides are:</u>

  • S = 136° → TR
  • R = 23°  → ST
  • T = 21°  → RS

<u>The greater the angle, the greater the opposite side, therefore the sides in increasing order will be:</u>

  • RS, ST, TR
exis [7]3 years ago
4 0
RS,ST,TR IS THE ANSWER
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Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

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Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1  + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

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Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

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Therefore;

x = 2×y = 2 × 10 = 20

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Therefore;

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The number of quarters in her piggy bank, z = 12

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