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Gnom [1K]
2 years ago
10

Match each statement with the property it illustrates.

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0
1- Associative property of addition: E
-1+(4+9)=(-1+4)+9

2- Commutative property of multiplication: A
(-9)(0)=(0)(-9)

3- Commutative property of addition: D
-9+1=1+(-9)

4- Identity property of addition: B
-9+0=-9

5- Identity property of multiplication: F
(-9)(1)=-9

6- Associative property of multiplication: C
-1(4•9)=(-1•4)9



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Find the value of x. Then find the missing angle measures of the polygon.
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The sum of the angles equals 540

There are 3 angles that measure (x - 30) and 2 angles that measure (x)

3(x - 30) + 2(x) = 540

3x - 90 + 2x = 540

5x - 90 = 540

5x = 630

x = 126

x - 30   = 126 - 30   = 96

Answer: x = 126,  x-30 = 96

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1 year ago
Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

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

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

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

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

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6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

5 0
3 years ago
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