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Korvikt [17]
3 years ago
11

Math Question.......

Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

m∠6 = 42°     m∠7 = 138

Step-by-step explanation:

Since we have the measure of angle 4, using the rule of verticle opposites, this means that the opposites are the same. so 4 = 2, and 6 = 8, and 1 = 3, and 5 = 7.

And since there is also the rule of same side correspondence, this means 4 = 8, and 6 = 2.

This means that since 4 = 42°, and 4 = 2, and 2 = 6, then m∠6 = 42°

and since 7 is opposite of 6 on a straight line, you can subtract 42 from 180 degrees to get the degree of 7.

180 - 42 = 138

so m∠7 = 138°

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Question:

A drink dispenser in a fast-food restaurant holds 250 litres of lemonade. How many 0.6-litre drinks can be dispensed before a refill is needed?

Answer:

The number 0.6-litre drinks can be dispensed before a refill is needed is 416

Step-by-step explanation:

Given:

The capacity of the drink dispenser =  250 litres

To Find:

Number of  0.6-litre drinks can be dispensed before a refill is needed = ?

Solution

Let the number of  0.6-litre drinks can be dispensed before a refill is needed be x

Then

x = \frac{ \text{total capacity of the dispenser}}{\text{0.6-litre drinks}}

On substituting the values we get

x = \frac{250}{0.6}

x  =  416. 667

Thus only 416 can be filled

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