given m || n, calculate the value of x

Given M || N, Calculate The Value Of X

Answers

Answer 1

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer 2

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96


Related Questions

A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.

Answers

Answer: 60 quarters and 40 dimes

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters

Coin Total Equation → d + q = 100

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 100 - q  ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(100 - q) + 0.25q = $19.00

0.1(100) - 0.1(q) + 0.25q = $19.00

10 - 0.1q + 0.25q = $19.00

10 + (0.25 - 0.1)q = $19.00

10 + 0.15q = $19.00

Step 4: Subtract 10 from each side of the equation to isolate q

10 - 10 + 0.15q = $19.00 - 10

0.15q = 9

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q/0.15  =    9/0.15

q = 60

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 60 = 100

Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60

d = 40

Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00

Find the value of x.

Answers

Add all three angles and set them equal to 180.

180 = x + (x - 28) + (x + 28)

180 = 3x

x = 60

PLS HELPPPPP Which expression is equivalent to 4−a−a−a?

Answers

Answer:  " 4 − 3a " .

________

Step-by-step explanation:

" 4 − a − a − a " ;

        = 4 − 1a − 1a − 1a " ;

        =  ?  " ;

________

Combine the "like terms" :

________

         →   " − 1a − 1a − 1a " ;

               = ( 1a − 1a) − 1a ;

               = ( 2a) 1a ;

               =   3a ;

________

Now, bring down the "4" ;

  and rewrite the expression:

________

        →  " 4 − 3a " ;

which cannot be simplified further.

________

The answer is:  " 4 − 3a " .

________

Hope this is helpful!

 Best wishes to you!

________

A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?

Answers

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.

Answers

Answer:

huh your questions make no sense there has to be more

Step-by-step explanation:

a circle’s radius is increased by 8%. Find the increase in the circle’s area.

Answers

Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.

11 divided by 6/6


PLEASE HURRY THIS TEST

Answers

Answer: 1.666666667 or 1.6

Step-by-step explanation:

Examine the following table of points, which are all on a certain line.

x y
−2 4
0 2
1 1
3 −1

Answers

Answer: I don't see a question, but the equation of the line that these points form is y = -x + 2

Step-by-step explanation:

y=-x+2

The points have a negative 1 as their slope. The y-intercept (the value of y when x=0) is 2

y = -x+2

cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

 [tex]V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4[/tex]

what is the graph of the function rule?
y= 4x - 1

Answers

Answer:

join the two points

Step-by-step explanation:

(x,y) = (1,3)

(just by substituting the number into the equation to make it fit)

then, also draw a point at (0.-1)

Answer:

I hope this helps, and is what you are looking for.

good luck!

Use the graph of the quadratic function, g(x), to answer each question.

Answers

Answer:

it is -3 8 and 2

Step-by-step explanation:

Answer:

i think its  -3 8 and 2 (maybe)

Step-by-step explanation:

i asked my friend

Can somebody help me please

Answers

Answer:

sdfgsdhvdert

fghjkkl

fghj

fghjk

gfgjuii

simplify -1 1/2 divided by 1 2/3

Answers

Answer:

-5/2

Step-by-step explanation:

Or -2.5

If you divide a negative by a positive it becomes a negative.

Hope this helps any!

-3x lessthan or equal to 3x +3 less than 2x+ 10

Answers

Answer:

x ≥ 0Hope this helped :)

Equations that are functions can be written in a form called what?​

Answers

Answer:

function notation.

Step-by-step explanation:

I was there with you i just happen to remember this one thing from my middle school

A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?

Answers

Answer: 9/10 of a second

It would take it 9/10 if a second.
Reason: if it take 1/10 of a second to fill 1/9 of a box multiply 1 by 9 and you have your answer.

It is predicted that a softball team will win 35 out of their 50 games after 20 games they have won 16 what will be percent error

Answers

Answer:

Step-by-step explanation:

Plz help due tonight

Answers

Answer:

[tex]4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80[/tex]

enjoy it

A regular polygon has 20 sides

work out the sum of the interior angles of the polygon

work out the size of the interior angles

Answers

Step-by-step explanation:

The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.

Step-by-step explanation:

Course menu

Socratic Q&A logo

Search icon

What is the measure of an interior angle of a regular polygon with 20 sides?

Geometry Angles with Triangles and Polygons

1 Answer

mason m

Jan 2, 2016

162

˚

Explanation:

The sum of the interior angles in a regular polygon with

n

sides is found through the formula

180

˚

(

n

2

)

Here,

n

=

20

, so the sum of the interior angles is

180

˚

(

20

2

)

=

180

˚

(

18

)

=

3240

˚

To find just one angle, divide

3240

˚

by

20

since all

20

angles are congruent.

3240

˚

20

=

162

˚

WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase

Answers

18% decrease

Hope this helped you-have a good day bro cya)

Answer:

The percent change is an 18% decrease.

Step-by-step explanation:

the sum of the reciprocals of two consecutive integers is -11/30

Answers

So if the first one is for example 5. If X is 5. Then X plus 1 would give us 6. And so 5 & 6 would be the

how many miles of the road does the crew have left to pave after 11 days?

Answers

A construction crew needs to pave a road that is 205 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.

L(d) = 205 - 8d

5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇

Answers

Answer:

Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;

Step-by-step explanation:

Remember:

When adding positive numbers, count to the right. When adding negative numbers, count to the left.  Add when two of the same signs appear next to each other

What us 2 1/3 divided by 1 1/2 in mixed number form?

Answers

33/14 =2 5/14

Step-by-step explanation:

have a great day

You want to buy a phone that costs $500. You already saved $100, and you plan to save $40 every week. How many weeks would it take to meet your goal of $500?​

Answers

10 weeks to get 500 dollars

evaluate the expression for the given value of x

1. 2+x+(-7);x=8


2. x+7+(-7);x=4 ​

Answers

Answer:

1. 3               2. 4

Step-by-step explanation:

1. 2+8+(-7)

2+8-7

3

2. 4+7+(-7)

4+7-7

4

Answer:

x =-1

Step-by-step explanation:

A rectangular park 60 yards long and 50 yards wide. Plans call for increasing both the length and the width by x yards.
a. Write a function to find the new length of the park.
b. Write a function to find the new width of the park.
c. Write a function to find the area of the park after increasing both the length and width.

Answers

Answer:

C

Step-by-step explanation:

If they are increasing w and l, they need a function for both.

BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

Answer:

Below : )

Step-by-step explanation:

1) {x lx is all real numbers}

2) {y l y is greater than or equal to zero}

3) increasing

4) decreasing

range: the set of output values corresponding to the domain values

domain: the set of input values for which the function is defined

Hope this helps! : )

J=b-q/g solve for b.

Answers

Answer:

[tex]j = b - \frac{q}{g} \\ j + \frac{q}{g } = b \\ b = \frac{gj + q}{g} \\ thank \: you[/tex]

The table below shows Aubree's earnings on the job.
Time (hours) Earnings (dollars)
4
$84.40
18.
$379.80
28
$590.80
How long does it take her to make $137.152
hours
Suomit Answers
Answer

Answers

Answer:

6.5 hours

Step-by-step explanation:

the pay per hour is $21.1

137.15÷21.1=6.5

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