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White raven [17]
3 years ago
14

One of the Same side angles of two parallel lines is 60° greater than the other. Find the two angles.

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

60,120

Step-by-step explanation:

We know that angles on the same side of the transversal always add up to 180 ( are supplementary)

Hence, taking one of the angles as x we get,

x+(60+x)=180

2x+60=180

2x=120

x=60

Hence, one angle is 60 degrees while the other 120 degrees

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3 years ago
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Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of
Tom [10]

Question:

Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.

\frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Which is Abel’s error?

Abel should have written the ratio as 24 metres/7 metres

Abel should have written the ratio as 24 metres/42 metres

Abel should have divided both numbers by 6.

Abel should have divided both numbers by 4.

Answer:

Abel should have divided both numbers by 6.

Step-by-step explanation:

Given

Measured Length of backyard = 42m

Actual Length of backyard = 24m

Measured Ratio: \frac{42m}{7}/{\frac{24m}{7} = \frac{6}{4}

Required

Error in calculation of measured ratio

From Abel's calculation:

It can be observed that He divided both numbers by 7

Though 42/7 = 6 but that's not so for 24/7

24/7≠4;

Instead 24/7 = 3.43 (Approximated)

To get the actual ration, he has to divide both numbers by the highest common factor

The common factors of 42 and 24 include 2,3,6 of which the highest is 6

Hence; HCF of 42 and 24 = 6

So, we can conclude that the error in his calculation is having not dividing both numbers by 6

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3 years ago
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0.05 is 1/10 the value of <br>A. 5 <br>B. 0.005<br>C. 0.5 <br>D. 50<br>​
anastassius [24]

Answer:

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Step-by-step explanation:

as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.

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A square has an area of 561.69m2. Work out the perimeter of the square.
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Answer:

The answer is 94.8 m

Step-by-step explanation:

Area of a square is a²

So, 23.7² = 561.69 m²

The side of the square is equal to 23.7 m

Perimeter of a square is the side multiplied by 4

So we have that 23.7 x 4 = 94.8 m

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Step-by-step explanation:

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