If l is parallel to m in the following figure, find the measure of x

Answer:

  a)  £10.50

  b)  £5.40

Step-by-step explanation:

In this context, "of" means "times".

__

  1/4 × £42 = £(42/4) = £10.50

__

  2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40

_____

Additional comment

The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.

In this question of means multiplication.

Let us start solve this question

Question 1

[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]

First we will convert whole number into a fraction

(Any number can be converted to fraction if you use 1 as the denominator)

[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]

Now we will multiply the numerators and denominators.

[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]

Question 2

[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]

First we will convert whole number into a fraction

[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]

Now we will multiply the numerators and denominators.

[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]

Answer:

538 dollars

Step-by-step explanation:

Answer:

539.

Step-by-step explanation:

add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)

1 500

2 509.5

3 519.1805

4\ 539.09678316

The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:

Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:

5x-5=55

The first thing to do is to add 5 to both sides to get rid of -5:

5x-5=55

   +5  +5

    __ __

     0   60

So now, it's 5x=60

Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:

x=12

Hope this helped!

Answer: b) x = 12

Step-by-step explanation:

   The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.

Given:

(50°) + (75°) + (5x - 5°) = 180°

Combine similar terms:

120° + 5x = 180°

Subtract 120° from both sides of the equation:

5x = 60°

Divide both sides of the equation by 5:

x = 12

       Your answer is;

           b) x = 12

Answer:

1.  8

2.  24

Step-by-step explanation:

The number of persons that drink grape milk only :

18 - 10 = 8

The number of persons that drink coffee :

42 - 8 = 34

The number of persons that drink coffee only :

34 - 10 = 24

Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings​.

A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:

Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings​.

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Answer:

2  2/3

Step-by-step explanation:

-2 1/3 - ( - 5)

We are subtracting a negative which is like adding

-2 1/3 + (  5)

The signs are different so we subtract and take the sign of the larger

5 - 2 1/3

Borr from the 5

4 3/3 - 2 1/3

2 2/3

The sign of the larger was positive so the answer is positive

2 2/3

Answer:

[tex]1 + 1 = 2[/tex]

Step-by-step explanation:

1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.

Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.

Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. [tex]1+1[/tex] doesn't have to equal [tex]2[/tex], if we wanted we could make it equal to [tex]:)[/tex]. [tex]1 + 1 =\ :)[/tex]

Whether we are solving basic algebra:

[tex]:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3[/tex]

Or calculating integrals:

[tex]\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)[/tex]

[tex]1+1[/tex] will always be whatever [tex]1+1[/tex] is.

Hopefully, I didn't get too philosophical lol.

Answer:

C = 2πr

Step-by-step explanation:

The circumference of a circle is calculated by the formula here,

C is the circumference of the circle.

r is the radius of the circle.

π is 22/7 or 3.14.

In the given options π is not missing.

Therefore the formula that relates circumference and radius is C = 2πr.

Answer:

C=2πr

Step-by-step explanation:

C =2πr is the formula to calculate circumference of a circle

Where

You should break down complex skills into component parts when learning  a complex performance or movement pattern.

Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.

As a result, you should break down complex skills into component elements when learning  a complex performance or movement pattern.

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Answer:

The probability that they have a mean salary between $40,000 and $50,000 is 0.01.

A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large.

The z-score for 40,000 is

= (40,000 - 66000) / (14,000 / √4)

= -26000/7000

= -3.714, P- value is 0.000102

The z-score for 50,000

= (50,000 - 66,000) / (14,000 / √4)

=-2.285, P- value is 0.0111564

P(40,000 < x < 50,000) = P(  -3.714< z < -2.285)

So,

= P(50,000)-P(40,000)

= 0.0111564-0.000102

=0.011

Hence, the probability that they have a mean salary between $40,000 and $50,000 is 0.01.

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The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

V = π × r² × h

V = π × (4)² × h

V = π4²h

Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

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Answer:

Step-by-step explanation:

The solution of the given inequality is  x/10 + 6 ≥ 8 will be x ≥  20.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is:-

x / 10  +  6 ≥  8

Put the value of x = 20

20 /10 +  6  ≥ 8

2  +  6   ≥   8

8    ≥    8

So the value of x will be greater than 20 or equal to 20.

Therefore the solution of the given inequality is  x/10 + 6 ≥ 8 will be x ≥  20.

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Answer:

I would ban smoking in your county or ild advertise and ill make jobs to get people to help smokers so than they stop smoking and quit.

Answer:

  11 units

Step-by-step explanation:

The height of a trapezoid is the distance between the parallel bases.

__

Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...

  5 -(-6) = 5 +6 = 11

You can also find this distance by counting the grid squares between the two parallel lines.

The height of the trapezoid is 11 units.

_____

Additional comment

The base lengths are ...

  AB = 2 -(-5) = 7

  CD = 8 -(-7) = 15

The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.

Answer:

f(x + 2) = 4x² + 16x + 13

Step-by-step explanation:

f(x) = 4x² - 3

Then

f(x + 2) = 4(x + 2)² - 3

           = 4(x² + 4x + 2²) - 3

           = 4(x² + 4x + 4) - 3

           = 4x² + 16x + 16 - 3

           = 4x² + 16x + 13

Answer:

Step-by-step explanation:

Answer

When you put this into your calculator, you get - 7.2111. The closest point to that is L.

Answer: -7.2111 is closest to L

Answer:

320

Step-by-step explanation:

563/7.4=76

76*4.2=320

Answer:

1/4

Step-by-step explanation:

If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.

Answer:

A = 804.25 cm^2

Step-by-step explanation:

Answer:

49/9

Step-by-step explanation:

[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]

I hope this helps!

Three possibilities

For red line

If h is negative then and k is positive then

then they will have two vertical asymptotes one on positive x and other on negative x

If h is negative and k is negative then the side part underroot with x turns negative I e x-(something) then they will form parabolas

You may look purple one

For all values of negative sum of h and k

example √x-k

The graph is parabola (Green one)

For h and k are equal the denominator yields √x and it stops at origin on downwards .(Blue one)

For all values of positive sum of h and k eg denominator as √x+k the graph will be like red one

Answer:

Standard Form of a Cube Root Function

[tex]y=a \sqrt[3]{x-h}+k[/tex]

The parent function is [tex]y=\sqrt[3]{x}[/tex]

[tex]h[/tex] indicates the horizontal shift from the parent function.
If [tex]h > 0[/tex] the shift is to the right, and if [tex]h < 0[/tex] the shift is to the left.

[tex]k[/tex] indicates the vertical shift from the parent function.
If [tex]k > 0[/tex] the shift is up, and if [tex]k < 0[/tex] the shift is down.

[tex]a[/tex] indicates a vertical stretch by scale factor [tex]a[/tex].  
If [tex]a < 0[/tex] the function is reflected in the x-axis.

Answer:

you need to width x height x length b

Step-by-step explanation:

Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height      (5 cm)refers to the vertical dimension.