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olga_2 [115]
3 years ago
10

What is BC? Enter your answer in the box _units

Mathematics
1 answer:
laiz [17]3 years ago
3 0

Answer:

<h2>BC = 25</h2>

Step-by-step explanation:

It's an isosceles triangle (congruent angles ∠C ≅ ∠B).

Therefore AC = AB.

We have the equation:

4x+1=2x+23        <em>subtract 1 from both sides</em>

4x=2x+22       <em>subtract 2x from both sides</em>

2x=22          <em>divide both sides by 2</em>

x=11

Substitute the value of <em>x</em> to the expression BC = 3x - 8:

BC = 3(11) - 8=33-8=25

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Answer:

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Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

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The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

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