Triangle ABC is similar to triangle FGH.

What is the value of x in centimeters?

Step-by-step explanation:

The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,

[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]

Therefore the equation of circle is:

[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]

The standard deviation of the data is 100 if round to the nearest whole number.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

The list represents the approximate number of megabytes of data Grace used each month as shown in the table.

To find the standard deviation first we will find the mean:

The sum of the all data given = 9380

The mean X' = 9380/12    (total number of observation = 12)

Now subtract the mean from each sample value such as (X-X') and square it.

Find the sum of it.

The formula for the standard deviation is given:

[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]

Put the ∑(X-X')² = 120866.67 and n = 12

[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]

SD = 100.36 ≈ 100

Thus, the standard deviation of the data is 100 if round to the nearest whole number.

Learn more about the standard deviation here:

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Answer:

[tex]7\frac{2}{5}[/tex]

Step-by-step explanation:

According to the Question,

Given, Suzanne was making lemonade for the school carnival. She had bought [tex]12\frac{1}{5}[/tex] pounds of sugar to use for the lemonade & When she was finished making lemonade, she had [tex]4\frac{4}{5}[/tex] pounds of sugar left over.

Thus, the sugar did she use for the lemonade is [tex]12\frac{1}{5} - 4\frac{4}{5}[/tex] .

Answer:

7 2/5

Step-by-step explanation:

Answer:

49.

7×7=49.

Step-by-step explanation:

i did this. hope it helps

Answer:

zero product property of multiplication

Step-by-step explanation:

step 2 is valid, because for the main expression in step 1 to be true, only one of the 2 factors need to be 0, as

0 × something is always 0.

therefore, it is sufficient to find the values of x that renders the expression of one factor to 0.

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

The solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question as:

3n − 40 < −5n + 8

Rearrange the terms in the above inequality

3n + 5n < 8 + 40

Apply the addition operation in the terms

8n < 48

Divided by 8 into both sides of the inequality

n < 6  ....(i)

Substitute the value of n = 10 in inequality (i),

10 < 6

This is not true, so 10 is not the solution to the given inequality.

Therefore, the solutions are −10 and −20 to the inequality 3n − 40 < −5n + 8 because they satisfy the inequality unlike 10.

Learn more about inequalities here:

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Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

Answer:

add and the take the parathesis out and there you have ur answer

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

I'm going to asume the = was a typo and you intended

(2x + 3x) + (3x + 2x + 3)

Combine like terms

8x + 3

Answer:

it will take him 9 weeks to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get 9.

Answer:

15%

Step-by-step explanation:

100 % - 85 % = 15 %

Square

_________________

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] )  {take both the sides}

[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )

[tex]x=\frac{log(1/32)}{log (2)}[/tex]

[tex]x=-5[/tex]

hope this helps....

Answer:

A) y=4+x

Step-by-step explanation:

Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.

Answer: Value of x is, 8

Step-by-step explanation:  

Given:   ,.....[1]

To find the value of x:

Using exponent rules:

Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by  we get;

Simplify:

or

Simplify:

x = 8

Therefore, the value of x is, 8

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

Answer:

So so so easy its 1 because all of them like music

Answer:

B) $22 for 4 pounds of cashews.

Step-by-step explanation:

[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]

Answer:

2/5

Step-by-step explanation:

Answer:2/5

Step-by-step explanation:

right on edge

Answer:

The 24,003 is the fastest

Answer:

y = 5x + 3

Step-by-step explanation:

Y = mx + b

find the rise/run

in this case [tex]\frac{10}{2}[/tex] or 5

find b or the y intercept

in this case 3

Hope this helps!

Answer:

12n² + 38n + 16

Step-by-step explanation:

(3n + 8)(4n + 2)

12n² + 6n + 32n + 16

12n² + 38n + 16

Answer:

b

Step-by-step explanation:

Answer:

f(x)=10-x/4

Step-by-step explanation:

this is the answer

Answer:

he runs for 39 min in 10 kilometres

Step-by-step explanation:

if he runs 10 kilometres

u add 4 10 times add if and u will find 39 min for 10 kilometres running

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

-8

Step-by-step explanation:

well since the equation has the same base of 11, you can just solve for x as you normally would. so the question becomes:

4x+1 = 3x -7

subtract one from both sides

4x = 3x - 8

subtract 3x from both sides

x = - 8

Answer:

x=  -8

Step-by-step explanation:

Answer:

395.5917959

Step-by-step explanation:

parallelogram area is 15 x 12

one half circle is 9^2[tex]\pi[/tex]/2

the other is 7.5^2[tex]\pi[/tex]/2

add all together

Answer:

3+(4*3)=15.....................

Answer:

21

Step-by-step explanation:

3+4=7

7×3=21

you are going to add 3 and 4.

After adding, you multiply 7by 3

giving yout 21