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Aleks04 [339]
3 years ago
15

In the diagram shown, lines m and n are

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

Step-by-step explanation:

If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,

Sum of interior consecutive angles should be 180°.

(Property of the angles formed between parallel lines and a transversal line)

Therefore, 114° + 64° = 180°

178° = 180°

Which is not true.

Therefore, lines 'm' and 'n' are not the parallel lines.

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Kim picked 250 pounds of pears yesterday and 287 pounds of pears today. What is the percentage increase of
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Given:

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.

To find:

The percentage increase of  amount of pears picked by Kim.

Solution:

We know that,

\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100

\%\text{ increase}=\dfrac{287-250}{250}\times 100

\%\text{ increase}=\dfrac{37}{25}\times 10

\%\text{ increase}=\dfrac{370}{25}

\%\text{ increase}=14.8

Therefore, the percentage increase of  amount of pears picked by Kim is 14.8%.

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The unit rate is 4.5
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How to write 2.06 x 10 to the 10th power in standard form?
snow_tiger [21]

Answer:

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Step-by-step explanation:

4 0
4 years ago
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Find the area and perimeter of the following
suter [353]

Answer:

Perimeter is 8x²y+26x

Area is 52x³y

Step-by-step explanation:

The perimeter is 2W+2L and area is LW

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2(4x²y)+2(13x)

8x²y+26x

Area:

(4x²y)(13x)

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3 years ago
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

(x,y)\to( \frac{1}{2} x, \frac{1}{2} y)

This implies that:

(0,6)\to(0,3)

(7,12)\to(3.5,6)

(7,9)\to(3.5,4.5)

(0,12)\to(0,6)

Therefore correct choice is (0,3)

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