Find the value of x so that line m is parallel to line l.

Find The Value Of X So That Line M Is Parallel To Line L.

Answers

Answer 1
Answer:  A) 46

Explanation:

The angles shown are same side interior angles.

For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.

28+(3x+14) = 180

28+3x+14 = 180

3x+42 = 180

3x = 180-42

3x = 138

x = 138/3

x = 46

Answer 2

Step-by-step explanation:

the angles are same side interior angles and because of that they are supplementary and add up to 180°

(3x + 14) + 28 = 180°

3x + 14 + 28 = 180

3x + 42=180

3x=180-42

3x= 138

divide by 3

x = 46


Related Questions

Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)

Answers

Answer:

the answer should be 7a^3-4a^2-2a-87

At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.

Answers

Answer:

s= -1.5t + 18

Step-by-step explanation:

The Equation to represent the depth of snow is s= -1.5t + 18.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We learn from the question that the snow's depth is s and that it takes hours to melt the snow.

The amount of snow is 12 inches deep after 4 hours of melting.

Now, keep in mind that the melting rate is 1.5 inches per hour.

and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.

Thus, the initial snow depth will be 6 + 12 = 18 inches.

Hence, the Equation to represent the depth of snow is s= -1.5t + 18.

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Determine whether y varies directly with x. If so, find the constant of variation k write the equation

Answers

Answer:

It varies directly

k = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Table:

    x      y

   7       11

   8       13

   9       15

   10      17

Problem:, determine if y varies directly as x

Solution:

  The equation to determine if they vary directly is;

         y ∝  x

         y  = kx

From the table, y varies directly as x. As y increases, x also increases.

To find k, use any convenient value of y and x  ;

     y  = 15 and x  = 9;

        15 = k x 9

        k = [tex]\frac{15}{9}[/tex]  = [tex]\frac{5}{3}[/tex]

Write an expression that is equivalent to 5^-3

Answers

Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

HELP ILL AWARD BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 hour you will make $10

2 hours you will make $20

10 hours you will make $100

The constant of proportionality is 10

and its x=10y

I don't understand what they mean when its says "x hours"

13t+6=12t +21
What value of/ makes the equation true?

Answers

Answer:

t=15

Step-by-step explanation:

3√5•3√2 =
A. √10
B. 9√10
Which one? ​

Answers

Answer: Choice B

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1

Answers

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

2x+b=w,for x i need to know what this answer is

Answers

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Rewrite the expression using the distributive property: 3(2r + 2)

Answers

Answer:

3(2r+2) = 6r + 6

Step-by-step explanation:

Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six

25 points help me please

Answers

Answer:

we need to know what the question is.

Step-by-step explanation:

0.333 repeating times 15. Please help me out and answer this question.

Answers

Answer:

4.995

Step-by-step explanation:

Answer plz x thanks x

Answers

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Please help Find sin and csc. ​

Answers

I did this I think the sin is 56

what is the unit rate for $1.99 per pound

Answers

Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

theirs 2 questions please help?

Answers

Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

What is 5.336 rounded to the nearest tenth of an ounce?​

Answers

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

If there are 40,075 km around the whole world, how many km will you drive if you went around the whole world 5 times?

Answers

Answer:

200,375

Step-by-step explanation:

just multiply 40,075 by 5

How do u solve this question?

Answers

Op I don’t know, but to find the volume is length x width x height

Which triangle has 0 reflectional symmetries?

A triangle has all different side lengths and angle measures.
A triangle has all equal side lengths and angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.

Answers

Answer:

A

Step-by-step explanation:

A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.

Which triangle has 0 reflectional symmetries to determine.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°


For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure.  So it is impossible to find any axis of symmetry within the triangle

Thus,  a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.

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A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!

Answers

Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

Please help me solve this problem!! (Algebra 1)

m≥5m-4

Answers

Answer:

Step-by-step explanation:

M is less than or equal to 1

C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I

Answers

Answer:

22.50

Step-by-step explanation:

A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach location blade U?
a
225 degrees
b
45 degrees
c
120 degrees
d
180 degrees

Answers

Answer:

Option (A)

Step-by-step explanation:

Windmill is in the shape of a circle and each blade of the windmill is equally spaced.

There are 8 spaces in the windmill shown.

Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]

Where n = number of blades

Angles between each blade = [tex]\frac{360}{8}[/tex]

                                               = 45°

To reach the position of blade U by blade P will cover 5 angles between the blades.

Therefore, angle of rotation covered by P to reach U = 5×45° = 225°

Option (A) will be the correct option.

If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000

Answers

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

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Susan had $30 before she bought 7 mugs. Afterwards, she only had $5.50 left. The scenario can be expressed by: 30 - 7k = 5.50 where k represents the price for 1 mug. What is the value of k? a) k = 24.50 b) k = -3.50 c) k = 5 d) k= 3.50​

Answers

Answer:

Answer choice D. k is equal to 3.5

Step-by-step explanation:

In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.

30 - 7k = 5.5

-30          -30

Then we get...

-7k = -24.5

Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.

-7k = -24.5

-7        -7

And we get...

k = 3.5

And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.

Write the inverse of f(x)=(2x-4)/x PLS SHOW STEPS

Answers

Answer:

f^-1(x) = -4 / x - 2

Step-by-step explanation:

First swap the x and y values. This is done by setting f(x) to x, and x to y.

f(x) = (2x - 4) / x → x = (2y - 4) / y

*Then solve for y like you would for a normal equation*

x = (2y - 4) / y

×y ×y

(multiplication property of equality)

*This will isolate the extra y term*

__________________________

xy = 2y - 4

-2y -2y

(subtraction property of equality)

*This is done to group the like terms together, because they both share a y term now*

_____________________________

xy - 2y = -4

| |

v v

( x - 2 )

(GCF)

*In this case the GCF is y because it is the factor held in common, reverse distributive property*

________________________________

y(x-2) = -4

÷(x-2) ÷(x-2)

(Division property of equality)

*This is the last and final step to isolate the y term completely, so we can find the inverse*

y = -4/x-2

*This is the inverse*

Now just set it in function form as an inverse:

y = -4/x-2 → f^-1(x) = -4/x-2

Which of these tables represents a linear function?

Answers

Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

What is the equation 8x-7=4x+21

Answers

Answer:

x=7

Step-by-step explanation:

8x−7=4x+21

Step 1: Subtract 4x from both sides.

8x−7−4x=4x+21−4x

4x−7=21

Step 2: Add 7 to both sides.

4x−7+7=21+7

4x=28

Step 3: Divide both sides by 4.

4x

4

=

28

4

Which of the following website features is the least useful when assessing the reliability of a website? (5 points)
Select one:
a. The author's background
b. The date the site was updated
c. The website's address
d. The website's title

Answers

Answer:

D: Website titles

Step-by-step explanation:

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