in the figure below line x is parallel to line yz find the measure of angle a and the measure of angle b

The solution of the linear equation is k =0.5.

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

[tex]\rm 6k + 10.5 = 3k + 12[/tex]

The value of k is determined in the following steps given below.

[tex]\rm 6k + 10.5 = 3k + 12\\\\6k-3k=12-10.5\\\\3k = 1.5\\\\k = \dfrac{1.5}{3}\\\\k = 0.5[/tex]

Hence, the solution of the linear equation is k =0.5.

To know more about linear equations click the link given below.

https://brainly.com/question/5085290

I believe she will have 8 rolls of toilet paper left after one year.

She started with 36, then gave away 4, so then she would have 32 left for herself, then she used 2 every month so if you deduct 2 rolls every month for 12 months she would use 24 in one year. So 32-24 is 8.

Correct Question :-

Calculate the circumference of the shape below.

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ [/tex]

We know :-

[tex] \bigstar\boxed{ \rm Circumference_{(circle)} = 2\pi r}[/tex]

[tex] \\ [/tex]

Steps :-

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi r[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2\pi \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} = 2 \times \dfrac{22}{7} \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times 12.5 \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{125}{10} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{ \cancel{125} {}^{25} }{ \cancel{10} {}^{2} } \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{44}{7} \times \dfrac{25}{2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{ \cancel{44}}{7} \times \dfrac{25}{ \cancel2} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{22}{7} \times \dfrac{25}{1} \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow\sf Circumference_{(circle)} =\dfrac{550}{7} \\ [/tex]

[tex] \\[/tex]

[tex] \dashrightarrow\bf Circumference_{(circle)} =78.6 \: m\{approx \} \\ [/tex]

[tex] \\[/tex]

~[tex] \pmb{\cal W\frak{indy}M\frak{int}}[/tex]

Answer:

£225

Step-by-step explanation:

12.5% × £200

>> £25

Since we want to increase £200 by 12.5%, then we will add the increment to the £200 to get;

£200 + £25 = £225

Answer: £25

Step-by-step explanation: Take £200 and multiply by 12.5% and you get  £25. I hope this helped!

Answer:

b = 5

Step-by-step explanation:

x = 3
3B = 15
3B/3 = 15/3
B = 5

Answer:

The slope of the line is 1

In point-slope form:

y = x + 1

Answer: 1

Step-by-step explanation: the rise is 1 and the run is also 1 so 1/1 equals 1

The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.

The population density is defined as the number of objects present in the unit area.

The formula is given as

[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]

The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.

Then the greatest population density of the geese will be

[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]

More about the population density link is given below.

https://brainly.com/question/1581160

Answer:

pond B

Step-by-step explanation:

edg 2022

Based on the information provided in the histogram, the percent of students that type less than 30 words per minute is 30%.

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the number of students and whose width is equal to the words per minute.

Percentage of students who type less than 30 words per minute = (number of students that type less than 30 words per minute) / total number of students) x 100

[(10 + 5) / 50] x 100 = 30%

To learn more about histograms, please check: https://brainly.com/question/14473126

Answer: The answer is 80

Step-by-step explanation:

Answer:

Gary baked 80 muffins on Sunday

Step-by-step explanation:

I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday.  By cross multiplying, I get 240 = 3x.  By dividing both sides by 3, I find x = 80.

Usando un sistema de ecuaciones, se encuentra que ese número es n = -3 o n = 3.

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, la variable es el número n.

El quintuple de un número cuadrado disminuido en 9 da como resultado 36, o sea, la ecuación es:

5n² - 9 = 36

5n² = 45

n² = 9

n = -3 o n = 3.

Puede-se aprendes mas a cerca de sistema de ecuaciones en https://brainly.com/question/27305333

Answer:

Your answer is 180

Step-by-step explanation:

180 x 5 = 900

Answer:

B. origin

Step-by-step explanation:

It is usually right at the center of a graph, the point (0,0) It is where you start from to graph points.

Answer:

algebros....

Step-by-step explanation:

Answer:

1357.2

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

[tex]=\pi *6^{2} *12[/tex]

[tex]=1357.2[/tex]

Answer:

360 in²

Step-by-step explanation:

Total SA = 2 triangles + 3 squares

Triangles:

A = bh/2

A = (9 · 10)/2

A = 90/2

45 in²

Squares:

A = bh

A = (9)(10)

90 in²

Total SA: 2(45) + 3(90)

Total SA: 360 in²

I hope this helps!

Answer:

[tex]\boxed{\tt x=45^o}[/tex]

Step-by-step explanation:

The two angles together are supplementary, which means that they add up to 180°

[tex]\tt (2x+45)^o+x^o=180^o[/tex]

Now, let's solve for x:-

[tex]\tt 2x+45+x^o=180^o[/tex]

[tex]\tt 3x+45^o=180[/tex]

[tex]\tt 3x=135^o[/tex]

[tex]\tt x=45^o[/tex]

_____________________

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex].  The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

Given that,

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

We have to simplify the expression.

Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Take the expression

=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

Multiply the powers

=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]

Divide the x and y terms

=[tex]{x^{72}y^{72} }[/tex]

Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

To learn more about expression visit: https://brainly.com/question/14083225

#SPJ1

Answer:

28 bottles

HOPE THIS HELPS! :)

Answer:

x= 4 and y=7

Step-by-step explanation:

Bellow is the graph of the two systems, you can find the coordinates (4,7) were they intersect.

Because of this the two equations are true

7= 4+3 (True)

Answer:

i dont the answer

Step-by-step explanation:

hey u, you're a loser

Answer:√44

Step-by-step explanation:

The required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

Tables of values are values used to represent functions.

Given the linear function expressed as y = 5 - 2x, we are to form a tables of values for the function.

Using the values of x = 0, 1, 2, and 3

If x = 0

y = 5 - 2(0)

y = 5

If x = 1

y = 5 - 2(1)

y = 3

If x = 2

y = 5 - 2(2)

y = 1

If x = 3

y = 5 - 2(3)

y = -1

Hence the required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

Learn more on function and tables here: https://brainly.com/question/10439235

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Number of blocks having volume of 2 m³ in the wall ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{600}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:300 \: \: blocks[/tex]

Step-by-step explanation:

No of blocks will a wall will have =

Volume of wall / volume of one block

putting the known values ,

No of blocks = 600m³/2m³

No. Of blocks = 300 blocks

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x − 1 = 19

solving for x, x = 5

2x − 4 = 10

x=7

2x + 2y = 48

x=24-7

y=24-x

5x + 2y = 90

x=18-2y/5

y=45-5x/2

all the situations I could find hope this helps for each equation.

Answer:

6/1

Step-by-step explanation:

The reciprocal is always the opposite. for example, the reciprocal of 9/10 is 10/9

Answer:

6 or 6/1

Step-by-step explanation:

The opposite reciprocal is when a fraction is flipped upside down (the reciprocal part) and with the signs changed (the opposite).

For -1/6

[tex]\frac{-1}{6} < ==flip\ the\ fraction\\\\\frac{6}{-1}\\\\ -6 < ==change\ the\ sign\\\\6[/tex]

Hope this helps!

Answer:

a

Step-by-step explanation:

a is 8 .52 so its to low and the change was 8.72

Answer:

[tex]25\sqrt{3} \ [units^2].[/tex]

Step-by-step explanation:

1) one side of the given rectangle can be calculated as:

10*sin30°=5 [units].

2) another side of the given rectangle can be calculated as:

10*cos30°=5√3 [units].

3) finally, the area required is:

5*5√3=25√3 [units²].

Answer:

the photo has the anwer

and it up to you if this is right it should be can I be marked as brainliest