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taurus [48]
3 years ago
14

I'm having a hard time on this problem. Plz help. Will mark brainliest.

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer:

<h2>y = 31</h2>

Step-by-step explanation:

We know: opposite angles in a parallelogram have the same measure.

Therefore we have the equation:

x+y=87+y            <em>subtract y from both sides</em>

x=87

We know: the sum of the angle measures in the triangle is 180°.

Therefore we have the equation:

42+(x+y)+20=180          <em>subtitute x = 87</em>

42+87+y+20=180

149+y=180              <em>subtract 149 from both sides</em>

y=31

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Kevin and Randy Muise have a jar containing 46 coins, all of which are either quarters or nickels. The total value of the coins
Zepler [3.9K]

Answers:

24 quarters

22 nickels

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

Work Shown:

q = number of quarters

n = number of nickels

q+n = 46 coins total which solves to n = 46-q

25q = value of all the quarters in cents

5n = value of all the nickels in cents

25q+5n = value (cents) of all the coins of both types

25q+5n = 710 cents total = $7.10

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

Apply substitution.

25q+5n = 710

25q+5(46-q) = 710

25q+230-5q = 710

20q+230 = 710

20q = 710-230

20q = 480

q = 480/20

q = 24

They have 24 quarters

This yields 25*q = 25*24 = 600 cents = $6.00 so far.

Use that value of q to find n

n = 46-q

n = 46-24

n = 22

They also have 22 nickels.

They have an additional 5n = 5*22 = 110 cents = $1.10

In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.

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Step-by-step explanation:

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