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morpeh [17]
3 years ago
8

How would you find AC and DC

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0
Because you know that segments AD and DC are congruent, that means that DC=20.

You also know that segments AD+DC=AC.

You can plug in all the information you know and begin to solve for x.

AD+DC=AC
20+20=3x+4
40=3x+4
36=3x
12=x

Now we know that:

x=12
AC=40
DC=20
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Step-by-step explanation:

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This is a bit confusing?
kow [346]

9514 1404 393

Answer:

  • Noah: 3 cups
  • Lin: 4 cups

Step-by-step explanation:

When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.

There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.

__

Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.

Lin will use 4 cups of flour for 6 cups of sugar.

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<em>Alternate solution</em>

The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.

Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar

Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar

4 0
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