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

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

Answer:

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

Answer:

I Pretty sure it's 3

Step-by-step explanation:

13-7=6

6 divided by 2= 3

Answer:

y=3

Step-by-step explanation:

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]

Answer:

there are only two options?

Step-by-step explanation:

id say b is the answer

Answer:

B

Step-by-step explanation:

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

Answer:

4th option is coreect

Step-by-step explanation:

Answer:

4th answer is correct.!

Step-by-step explanation:

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

Answer:there is no picture

Step-by-step explanation:

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:

:)

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

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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.

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

Answer:

-21

Step-by-step explanation:

-21+18=3

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

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

Answer:

x=10

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

x=6

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

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

Answer:36

Step-by-step explanation:

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

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

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! :)

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:

Answer: 6 in by 8 in

Step-by-step explanation: