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katovenus [111]
3 years ago
6

3. CDEF is a parallelogram. Find m2C

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Answer:

m<C = 56°

m<D = 124°

Step-by-step explanation:

Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°

4x + 28 + 17x + 5 = 180 add like terms

21x + 33 = 180 subtract 33 from both sides

21x = 147 divide both sides by 21

x = 7 now to find the measure of each angle replace x with 7

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Step-by-step explanation:

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Answer:

The base is 0.1

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Step-by-step explanation:

The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.

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4 0
3 years ago
Last week's Apple sold for 3.99 per bag this week price of the bag of apples is 3.39 if Margaret buys 20 bags of apples this wee
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Answer:

Margaret paid 12.84 less for bags of apples this week compared to last week.

Step-by-step explanation:

Given:

Cost of per bag of apples last week = 3.99

Cost of per bag of apples this week = 3.39

Number of bags of apples bought = 20

Now First we will find the Cost of 20 Apples bags last week.

Cost of 20 Apple bags last week can be calculated by Multiplying Cost of per bag of apples last week with number of bags of apples bought.

framing the equation we get;

Cost of 20 Apple bags last week = 20\times3.99= 79.8

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Amount of money paid in sales tax last week = 7% ×Cost of 20 Apple bags last week = \frac{7}{100}\times79.8 \approx5.59

Now Total Cost paid last week is sum of Cost of 20 Apple bags last week and Amount of money paid in sales tax last week.

Total Cost paid last week = 79.8 + 5.59 = 85.39.

Now we will find the Cost of 20 Apples bags this week.

Cost of 20 Apple bags this week can be calculated by Multiplying Cost of per bag of apples this week with number of bags of apples bought.

framing the equation we get;

Cost of 20 Apple bags this week = 20\times3.39= 67.8

Percent of sales tax =7%

Amount of money paid in sales tax this week = 7% ×Cost of 20 Apple bags last week = \frac{7}{100}\times67.8 \approx4.75

Now Total Cost paid this week is sum of Cost of 20 Apple bags last week and Amount of money paid in sales tax this week.

framing in equation form we get;

Total Cost paid this week = 67.8 + 4.75 = 72.55.

Difference in cost between last week and this week is equal to Total Cost paid last week minus Total Cost paid this week.

Difference = 85.39 - 72.55 = 12.84

Hence Margaret paid 12.84 less for bags of apples this week compared to last week.

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