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Lesechka [4]
3 years ago
7

Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD​

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Given:

m\angle ABC=65^\circ

m\angle BCD=105^\circ

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

m\angle ABC=65^\circ

m\angle BCD=105^\circ

The angles m\angle ABC and m\angle BCD are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

m\angle ABC+m\angle BCD=65^\circ+105^\circ

m\angle ABC+m\angle BCD=170^\circ

m\angle ABC+m\angle BCD\neq 180^\circ

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.

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Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by
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Answer:

B. \frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25},  \frac{9}{100}

Step-by-step explanation:

The question is not properly presented. See attachment for proper presentation of question

From the attachment, we have that:

W = \frac{3}{25}

X = \frac{\sqrt{3}}{11}

Y = \frac{9}{100}

Z = \frac{\pi}{24}

Required

Order from greatest to least

First, we need to simplify each of the given expression (in decimals)

W = \frac{3}{25}

W = 0.12

X = \frac{\sqrt{3}}{11}

Take square root of 3

X = \frac{1.73205080757}{11}

X = 0.15745916432

X = 0.16 --- approximated

Y = \frac{9}{100}

Y = 0.09

Z = \frac{\pi}{24}

Take π as 3.14

Z = \frac{3.14}{24}

Z = 0.13083333333

Z = 0.13  --- approximated

List out the results, we have:

W = 0.12    X = 0.16    Y = 0.09    Z = 0.13

Order from greatest to least, we have:

X = 0.16     Z = 0.13      W = 0.12       Y = 0.09

Hence, the order of arrangement is:

X = \frac{\sqrt{3}}{11}     Z = \frac{\pi}{24}      W = \frac{3}{25}      Y = \frac{9}{100}

i.e.

\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25},  \frac{9}{100}

6 0
3 years ago
Can anyone answer <br><br> Please find the area of this
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Answer:

I belive it is 105

Step-by-step explanation:

ok so by spliting this up into where the 9 lengh ends.that recctangle is now 9 by 6,to find area you multiply them,that gets you 54.Now for the other part you want to fill it in,when you do that the area is 6 by 11 what equals 66 but ou have to take away the corner making it 51.Now we add those together and you have 105.

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What is the correct answer to number 7? Please explain and break it down step by step.
a_sh-v [17]

Answer:

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Step-by-step explanation:

                    \frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}

Factor the expression

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Simplify

Cancel 5 because is in both numerator and denominator                  

Cancel (x + 1) because is in both numerator and denominator                  

Cancel (x - 1) because is in both numerator and denominator                  

Cancel x² because is in both numerator and denominator              

   

After simplifying, the result is  (x + 3)

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