In the diagram, m || n. Find the value of x. Explain how you obtained your answer.

In The Diagram, M || N. Find The Value Of X. Explain How You Obtained Your Answer.

Answers

Answer 1

Answer:

x = 67°

Step-by-step explanation:

It's given that m║n.

Construction done: A line 't' parallel to the given lines 'm' and 'n'.

Since, m║t and a transversal line is intersecting these lines.

m∠a = 35° [Alternate interior angles]

m∠c = 180° - 148° [∠c and angle measuring 148° are the linear pair of angles]

       = 32°

n║t and a transversal line is intersecting these lines.

Since, ∠b ≅ ∠c [Alternate interior angles]

m∠a + m∠b = m∠x [Angle addition postulate]

x = 32° + 35°

x = 67°

Therefore, measure of angle x is 67°.


Related Questions

An umbrella at a shop was marked for $6 . During a sale, a discount of 10% was given. A further 8% discount was given to the senior citizens. How much would a senior citizen need to pay for the umbrella during the sale? Round your answer to the nearest cent.

Answers

Answer:

A senior citizen will pay $4.97

Step-by-step explanation:

Mathematically, discount = discount percentage * marked price

Sales price = marked price - discount

In the question, marked price = $6

First, we have a discount of 10%, so therefore , the sales price will be;

$6 - (10/100 * $6 ) = $6 - $0.6 = $5.4

Now, a further 8% discount was given to senior citizens,

The extra discount for senior citizens is thus;

8/100 * 5.4 = $0.432

Amount to be paid by senior citizens = $5.4 - $0.432 = $4.968. which is $4.97 to the nearest cent

Answer:

the answer is $4.97.

Step-by-step explanation:

:)

A line has a slope of 1/4 and passes through the point (0.2. 4/5).
Find the value of b, the y-intercept.
b=

Answers

Answer:

The value of the y-intercept b is 0.75

Step-by-step explanation:

Here, we want to find the value of the y-intercept

The equation of the line can be written as;

y = mx + b

where m is slope and b is the y-intercept

so y = 1/4x + c

To get the value of b , we substitute for x and y using the given point

4/5 = 1/4(0.2) + c

Multiply

0.8 = (0.25)(0.2) + b

0.8 = 0.05 + b

b = 0.8 - 0.05 = 0.75

Answer:

b=0.75

Step-by-step explanation:

i did it on edge

Solve for X, and show the equation you would use to solve.

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

(7x+40) + (3x+80)=180

Step-by-step explanation:

x=6

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable.

Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?
k – 2 = k minus 2 equals StartFraction 1 Over 9 left-parenthesis t minus 18 right-parenthesis.(t – 18)
k – 18 = k minus 18 equals StartFraction 1 Over 9 left-parenthesis t minus 2 right-parenthesis.(t – 2)
k – 2 = 9(t – 18)
k – 18 = 9(t – 2)

Answers

Answer:

4th option is coreect

Step-by-step explanation:

Answer:

4th answer is correct.!

Step-by-step explanation:

The front of a box and the sticker label on it are similar
rectangles. The front of the box has a width of 9 inches
and a length of 12 inches. Which dimensions could be
the dimensions of the sticker label?

Answers

Answer: 6 in by 8 in

Step-by-step explanation:

157 is 16.6% of what number

Answers

157 = .166 x

157/0.166 = x

945.78313253 = x

157 is 16.6% of 945.78313253, which rounds to 946.

The 157 is approximately 16.6% of 945.78313253012 rounded to the nearest decimal place.

To find the number that 157 is 16.6% of,  set up the following equation:

16.6% = 0.166 (since percentages expressed as decimals)

0.166 × x = 157

To isolate x, we divide both sides of the equation by 0.166:

x = 157 / 0.166

Simplifying the division:

x ≈ 945.78313253012

To know more about decimal here

https://brainly.com/question/33109985

#SPJ6

Write each equation in y = mx + b form.


1. x - y = 4







2. 2x + y = 9

Answers

Answer:

1. y=x-4

2. y=-2x+9

Step-by-step explanation:

x-y=4

-x   -x

-y=-x+4

÷-1    ÷-1

y=x-4

2x+y=9

-2x   -2x

y=-2x+9

x - y = 4
-y = -x + 4 (1
y = x - 4


2x + y = 9 (2
y = -2x + 9



If you need the steps explained message me or reply to this comment!!!

HaEeiiekekekekekek HELP PLEASS

Answers

Answer:

She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .  

Step-by-step explanation:

3 equals what number plus 18?

Answers

Answer:

-21

Step-by-step explanation:

-21+18=3

Solve for y: 6(y –1/3 ) = 4(3y – 5).
The solution is y =?

Answers

Answer:

y=3

Step-by-step explanation:

Rewrite this phrase using algebraic symbols eight times a number is decreased by 12

Answers

Answer:36

Step-by-step explanation:

combining like terms: -1 - 7x + x​

Answers

Answer:

=−6x−1

Step-by-step explanation:

Let's simplify step-by-step.

−1−7x+x

=−1+−7x+x

Combine Like Terms:

=−1+−7x+x

=(−7x+x)+(−1)

=−6x+−1

Answer: -0.125

Step-by-step explanation:

-1-7x+x

 +7   +7

-1=8x

/8  /8

x=-0.125

Karen pays $50 to join a health club and $20 each month. So far she has paid the health club $170. Write an equation that could be used to find the number of months, m, that Karen has been a member

Answers

I believe the answer would be Y= 20x +50

which statement is true and represent the correct form of scientific notation
A. 5.3 x [tex]10^{-2}[/tex] = -0.053
B. 2 x [tex]10^{4}[/tex] < 20,000
C.-74.308 < -0.74 x [tex]10^{3}[/tex]
D. 12,000,000 = 1.2 x [tex]10^{7}[/tex]

Answers

Step-by-step explanation:

let express them in the same form

5.3*1/100=0.053>-0.053 so A is false

2*10^4=2*10000=20,000 is equal to 20,000 so even B is false

-0.74*10^3=-0.74*1000=-740<-74.308 so even C is false

lets see D

1.2*10^7=12*10^6=12*1000000=12,000,000 which is equal to 12,000,000 so D is true

hi i need the answer to this

Answers

Answer:

She forgot about the negative sign in front of the 3.7, therefore, she added 3.7 to -3.3 which is equals to 0.4

The current temperature in Smalltown is 13° F. This is 7 degrees less than twice the temperature that it was six hours ago. What was the temperature in Smalltown six hours ago?​

Answers

Answer:

I Pretty sure it's 3

Step-by-step explanation:

13-7=6

6 divided by 2= 3

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?​

Answers

The starting number is 245.So it’s already pretty deep in the water,then it goes down 83 feet MORE.so that’s 245+83=328 feet. Then the submarine goes UP 103 feet from that point,so 328-103=225 feet,so its closer to the surface than at the beginning(245ft)

can someone tell me what's happening here? jk don't just help me answer this plzzzzz

7x+4-2x=6(x+1)-x

Answers

Answer:

the sides are not equal

Step-by-step explanation:

7x + 4 - 2x = 6(x + 1) - x     expand

7x + 4 - 2x = 6x + 6 - x      combine similar terms

7x - 6x - 2x + x = 6 - 4

                  0 = 2    ------ no solution

Help me pls. I do not understand this 25 points

Find the area of the following in the picture

Answers

Answer:there is no picture

Step-by-step explanation:

Solve for y: 6x + 2y = 12

PLEASE SHOW STEPS.
(Brainliest is going to be given once 2 people answer.)
# 12 Points

Answers

solve for y first

2y=12-6×

divide each term by 2 and simplify

y=6-3x

Answer:

y=6-3x

Step-by-step explanation:

6x+2y=12

6x+2y=12 divide all by 2

3x+y=6 subtract 3x from both sides

y=6-3x

What is the compound inequality?

Answers

Answer:

there are only two options?

Step-by-step explanation:

id say b is the answer

Answer:

B

Step-by-step explanation:

Last year, the school library had a total of x books. Over the summer, the library acquired another 46 books and now had a total of 1,191 books. Which equation could be used to find x, the number of books the library had last year

Answers

Answer:

x is 1,145

Step-by-step explanation:

all you need to do is suntract 1,191 from 46 becase you do not know how many books they started with but you do know how many books they have after and how many books they got over the summer to add

the length of a side of a square is 8x+4.If the perimeter of the square is 80 inches, what is they value of x?

Answers

Answer:

Step-by-step explanation:

Note: Perimeter = sum of all the lengths of the shape.

In the case of a square, since all the sides are equal.

This means that if one side = 8x + 4, the perimeter would be 4 times 8x+4 since there are 4 equal sides in a square.

Perimeter = 4 ( 8x + 4)

Perimeter = 32x + 16

We also get told in the question that the perimeter = 80 inches.

Meaning that:

32x + 16 = 80

From here we can solve for x.

Subtract 16 from both sides:

32x = 80 - 16

32x = 64

Divide both sides by 32 to solve for x.

x = 64/32 = 2

Can someone help me with this pls actually be right I need a good grade

Answers

First divide 16 by 12.

That equals 1.333333333

So divide 20 by that number and find what the hypotenuse is which is 15

After that add up all of the numbers so 9+12+15= 36

Final answer 36 inches or C

PLEASE HELP ME OUT I ONLY HAVE 5 MIN TO TURN THIS IN!!!
WILL MARK BRAINLIEST!!!

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

Equation: y-intercept of 1, 3​x ​– ​y = 5

Answers

Answer:

The equation is [tex]y=-\frac{1}{3}x+1[/tex]

Step-by-step explanation:

You have the y-int, so you just need to find the slope, which is the negative reciprocal of A/B since it is perpendicular. Plugging in the numbers gets you the above equation.

sometime outiers can have a significant effect on statistics and sometime they don't . Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.

Answers

What is the test name?

help me please i need the answer now please help

Answers

Given problem:

What is the value of x = ?

 Solution:

Angle on a straight line is 180°

Sum of angles in a triangle  = 180°

Now to solve the problem, we need to find the two internal angles first;

  For the first one;

      let us say it is y;

              163 + y  = 180

                        y  = 180 - 163 = 17°

    For the second, assume it is z;

            69 + z = 180

                    z = 180 -69  = 111°

The sum of the internal angles of the triangle;

    y + z + 2x   =  180

     17 + 111 + 2x  = 180

                    2x  = 180 - 128

                     2x  = 52

                       x = [tex]\frac{52}{2}[/tex]   = 26

The value of x is 26

EMERGENCY! Please give me the correct answer! ​

Answers

Answer:

The answer is yes!

Step-by-step explanation:

I'm 100% sure, put it into a calculator and it'll give you 1 as the answer.

Answer:

Yes

Step-by-step explanation:

The answer is yes because:

1) As you can see, in standard form the pattern is x * 3 = y

2) If x = 1 it would match the pattern because the next number will be 1 x 3 which is 3, and then the the third number would be 3 x 3 = 9, and then the fourth number would be 9 x 3 = 27 and so on.

Hope this helps! :D

3 3/4 + 5/12
help me plz lol​

Answers

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

whats 11/12 in two different ways

Answers

22/24, 44/48 and 0.91666666...

Answer:

The two different ways to write  are :

1.

22/24

when we will divide both the numerator and denominator by 2, we will get

2. 110/120

 when we will divide both the numerator and denominator by 10, we will get

Step-by-step explanation:

Hope this helped! :)

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