In the Diagram Lines M And N are Parallel M < 2 = 150 degress, Find the Measure of the following angles <4=?
<6=?
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Answers

Answer 1
Answer:

The value of <4 = 150 and <6 = 150.

what are parallel lines?

The fundamental characteristics listed below make it simple to recognize parallellines.

  • Straightlines that are always the same distance apart from one another are called parallel lines.
  • No matter how far apart they are from one another, parallel lines can never intersect.

Given:

m<2 = 150

Now, from the Diagram

m<2 = m<4 (Corresponding angle)

m<4 = 150

and, m<6 = m<4 (VerticallyOpposite Angle)

m< 6 = 150

Hence, the value of <4 = 150 and <6 = 150.

Learn more about parallel line here:

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Answer 2
Answer:

<4= 150
<6=150
because the angels are parallel <4 & <2 are the exact same measurements and because 6 is perpendicular to  <4 & <2 thus making it also 150 degrees



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The population of a city is expected to increase by 7.5% next year. If p represents the current population, write an expression that represents the expected population next year?

Answers

Answer:  1.75p


Step-by-step explanation:

Let 'p' represents the current population.

The increase in the population of the city =7.5%

Therefore,  the expected population next year= Current population+75% of the current population

=p+75\%\ of\ p\ \n=p+0.75p....\text{[convert percent into decimal]}\n=p(1+0.75).........\text{[take p as common outside]}\n=p(1.75)=1.75p

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Solve the equation 6(c+4)=4c-18

Answers

6c+24=4c-18
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2/6 < ?select the three fractions that make this comparison true

3/6
2/8
2/4
2/3
1/6

Answers

3/6 . . . . .
Yes.  2 of anything is less than 3 of the same thing ... like sixths. 

2/8 . . . . .
No.  When changed to common denominator, the inequality
would say
                            8/24 <  6/24
and that's not true.

2/4 . . . . .
Yes.  When changed to common denominator,
the inequality would say
                                    4/12 <  6/12
and that's true.

2/3 . . . . .
Yes.  When changed to common denominator,
the inequality would say
                                    2/6 <  4/6
and that's true.

1/6 . . . . .
No.  2 of anything is more than 1 of the same thing ... like sixths.    


2/6 is less than 3/6, 2/4 and 2/3 because  is equvalant to 1/3 and the followings are all greater than 2/6-> 1/3

A line passing through the point (12,-5) has a slope of 1/3

Answers

False, hope this helps

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Answers

a.)

784

/ \

2 392

/ \

2 196

/ \

2 98

/ \

2 49

/ \

7 7

√784 = 7² × 2^4

= 7² × 4²

= 28²

So, √784 = 28

b.)

2025

/ \

3 675

/ \

3 225

/ \

3 75

/ \

3 25

/ \

5 5

2025 = 5² × 3^4

= 5² × 9²

= 45²

So, √2025 = 45

c.)

9261

/ \

3 3087

/ \

3 1029

/ \

3 343

/ \

7 49

/ \

7 7

9261 = 7³ × 3³

= 21³

So, ³√9261 = 21

d.)

46656

/ \

2 23328

/ \

2 11664

/ \

2 5832

/ \

2 2916

/ \

2 1458

/ \

2 729

/ \

3 243

/ \

3 81

/ \

3 27

/ \

3 9

/ \

3 3

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So, ³√46.656 = 36

Hope it helps and is useful:)

which digit can replace the? to make this number sentence true 736,554 < 7?6,573 < 736,589 only one answer

Answers

You need 3 for ? to make this sentence true, because if you place 3 for ?, 736,554<736,573<736,589 makes sense. If you compare the three numbers, 736,554 is the smallest, then 736,573, and 736,587 is the biggest number.
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