4 years ago

Form the intersection for the following sets.

Mathematics

1 answer:

xxTIMURxx [149]4 years ago

4 0

Answer:

{20}

Step-by-step explanation:

<u>Given sets</u>

R = {10, 15, 20}
S = {20, 25}

<u>Intersection of sets</u>

R ∩ S = {20}

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Use the Side-Splitter Theorem to find x given that NQ is parallel to OP.

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Answer:

x = 7

Step-by-step explanation:

$\frac{20}{30} =\frac{14}{14+x}$

$(20)(14+x)=(30)(14)$

$280+20x=420$

$20x=420-280$

$20x=140$

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3 years ago

Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co

FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

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0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

$0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106$

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

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Step-by-step explanation:

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