Find the value of x in the triangle shown below.

Answer:

[tex]a_{1}=6[/tex]

Step-by-step explanation:

It is sum of arithmetic progression

[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+76]$[/tex]

[tex]880=20a_{1}+760[/tex]

[tex]120=20a_{1}[/tex]

[tex]a_{1}=6[/tex]

Answer:

10 hours

Step-by-step explanation:

Let's set up a proportion using the following setup.

hours/laps=hours/laps

We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.

2 hours/12 laps=x hours/60 laps

2/12=x/60

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.

60*2/12=x/60*60

60*2/12=x

10=x

It will take Lebron 10 hours to run 60 laps.

Answer:

B

Step-by-step explanation:

A is incorrect, the y-axis represents the distance, not time

Answer:

The two numbers are 24 and 40

Answer:

Step-by-step explanation:

50x=30x+100

The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.

A linear equation is an algebraic equation in which a variable has a highest degree of 1.

According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.

Given no. of months is m.

∴ 50m = 30m + 100

50m - 30m = 100.

20m = 100

m = 5.

learn more about linear equation here :

https://brainly.com/question/13738061

#SPJ2

Answer:

The 4th option

Step-by-step explanation:

-3 will make you go down

Answer:

Sample space: PP, PO, PM, PS, OP, OO, OM, OS, MP, MO, MM, MS, SP, SO, SM, SS.

Step-by-step explanation:

Suppose Friend 1 select pepperoni, then Friend 2 can choose between 4 options. This gives us 4 possibilities. Then, for each selection made by Friend 1, there are 4 possibilities, given that Friend 1 has 4 different options,  the sample space consists of 16 outcomes.

Answer: 24 hours

Step-by-step explanation:

You multiply 30 by 4/5, since this is inverse.

If it took 4 bricklayers to build a brick wall in 30 hours, then it would 24 hours for 5 bricklayers to build a brick wall.

The amount of time is reduced down to 4/5 of the first time because there are now 5 bricklayers instead of four.

Answer:

It would take 24 hours for 5 bricklayers to build a wall.

Step-by-step explanation:

We can deduce the number of hours the bricklayers needed to build a wall because they are inversely proportional.

In other words, more bricklayers will result in fewer work hours.

4 bricklayers × 30 hours = 120 bricklayers hours

120 bricklayers hours / 5 bricklayers = 24 hours

Therefore, it would only take 24 hours for 5 bricklayers to build a wall. (Which is 6 hours faster since one person joined the workforce to help the others).

I hope this helps!

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

Answer:

-The final answer is [tex]9x + 6[/tex] .

Step-by-step explanation:

Simplify the following equation:

[tex]2(x - 4) + 7(x + 2)[/tex]

-Use Distributive Property:

[tex]2(x - 4) + 7(x + 2)[/tex]

[tex]2x - 8 + 7x + 14[/tex]

-Combine [tex]2x[/tex] and [tex]7x[/tex] together:

[tex]2x - 8 + 7x + 14[/tex]

[tex]9x - 8 + 14[/tex]

Add [tex]-8[/tex] and [tex]14[/tex] together:

[tex]9x - 8 + 14[/tex]

[tex]9x + 6[/tex]

So, the final answer is [tex]9x + 6[/tex] .

The lines in the picture parallel because they are equal width apart , option (D) is correct.

Two straight lines in a plane such that even on getting extend till infinity they do not intersect each other and always at same distance from each other .

In the given picture the red line and black lines appears to have same distance between them .They are parallel not only because they are coplanar as coplanar lines can intersect each other.

Two lines travelling to infinity need not to be parallel always as they can intersect at some point and still travel to infinity.

If two lines of same size are there still they can have different perpendicular distance between them at diff points, they can be slightly tilted towards each other . Therefore they need not be parallel when they are of same size. And given lines are infinite therefore we cannot say that they are of same size also.

If two lines are equal width apart and never meet then it means the distance between them is always same therefore they are parallel,

Therefore, the lines in the  picture are parallel because they are equal width apart option (d) is correct.

Also, Learn more about the parallel lines from the given below link:

https://brainly.com/question/19714372

#SPJ5

Answer:

25:53

Step-by-step explanation:

75:159 have a common factor of 3

75/3=25

159/3=53

Answer:

The correct choice is A

Step-by-step explanation:

the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A

The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.

Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,

[tex][\mu-\sigma, \mu+\sigma][/tex]

The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,

[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]

The temperatures in the options given will be correct, which lies in the above range.

Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.

Learn more about the mean here;

https://brainly.com/question/14532771

Answer:

C

Step-by-step explanation:

Took the quiz got a 100%

Answer:

Domain is {-2,0,2}

Range is {4,6,8}

Step-by-step explanation:

The domain is the input or x values

Domain is {-2,0,2}

The range is the output or y values

Range is {4,6,8}

Answer:

Step-by-step explanation:

ghjikop0987trsxzcvbhtrdxc vbhgfc

Answer: a^-4

Step-by-step explanation:

  [tex]\frac{1-4}{a^4-4}[/tex]  = a^-4

Answer:

$12

Step-by-step explanation:

u do 120 divided by 10 which gives u 12 which gives u per hours

hope this helps

Answer:

2.3w +12

Step-by-step explanation:

(3.8w+ 4) – 1.5w+8

Combine like terms

3.8w-1.5w   +4+8

2.3w +12

Answer:

2.3w+12

Step-by-step explanation:

Parentheses do not matter for this question.

(3.8w+ 4)–1.5w+8=

3.8w+4-1.5w+8=

Subtract 1.5w from 3.8w

2.3w+4+8=

Add 4 and 8 together

2.3w+12

Answer:

(2x)3

Step-by-step explanation:

Twice a certain number is tripled. Use x as the unknown number and double it.

2x

Now triple the whole answer

(2x)3

Answer:

[tex](2x)3[/tex]

Step-by-step explanation:

Let's say [tex]x[/tex] is the number.

Our answer would be:

[tex]2x*3[/tex] or [tex](2x)3[/tex]

You can assign [tex]x[/tex] a value and it will get you double the number, then triple of that number.

Sorry if it seems like I'm copying the other person.

The area is 24 square units

Answer:

is this a question? also, 6/4 is not irrational, it is rational, and an irrational number is a number that cannot be expressed as a ratio of two integers, aka a simple fraction

Answer: it’s C.

Step-by-step explanation:

The equation that represents the new price of a bag is y = 1.28p.

Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:

Markup rate = (selling price - cost price)/cost price

Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:

28% = (y- p)/p

y-p = 0.28p

y = 1.28p

Hence the equation that represents the new price of a bag is y = 1.28p.

Find out more at: https://brainly.com/question/23106860

Answer:

Rectangle:6+5=11(Odd)

Triangle:6+6=12(even)

Star:4+3=7(odd)

Pentagon:9+8=17(odd)

Hexagon:6+6+12(even)

Circle:4+4=8(even)

Step-by-step explanation:

Hope this helps:)

Answer:

odd, even

odd, odd

even, even

Step-by-step explanation:

Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd

2, 5, 6 are even.

Answer:

[tex](x-5)^2+(y+1)^2=4^2[/tex]

Step-by-step explanation:

The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

[tex](x-5)^2+(y+1)^2=4^2[/tex]

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The population changed from 25,000 to 30,000. Then the percentage is calculated as,

P = [(30,000 - 25,000) / 25,000] x 100

P = (5,000 / 25,000) x 100

P = 0.20 x 100

P = 20%

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Answer:

No.

Step-by-step explanation:

The point (7,1) contains a x-value of 7 and a y-value of 1.  7 does not equal 1.

Answer:

The equation is true.

Step-by-step explanation:

Answer:

$1001.75

Step-by-step explanation:

Do 4007 x 0. 25 on a calculator

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

Answer:

Step-by-step explanation:

[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]