What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Answer:

C = 6

Step-by-step explanation:

Here are steps

C - 20 = 4 - 3C

C + 3C = 4 + 20

4C = 24

C = 6

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

The probability of obtaining a sample mean is "0.9545".

According to the question,

Mean,

[tex]\mu = 4[/tex]

Standard deviation,

[tex]\sigma = 0.22[/tex]

Random sample,

[tex]n = 121[/tex]

By Central limit theorem,

→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]

     [tex]= 0.2[/tex]

Now,

→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]

                               [tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]

                               [tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]

                               [tex]= 0.9545[/tex]

Thus the above response i.e., "option a" is appropriate.

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Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

Answer:

Step-by-step explanation:

Answer:

I believe 9

Step-by-step explanation:

25-21=4 (21 is 7×3)

4-4=0 (2×2)

The fewest number of groups are 9.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

25 students are working in groups on a science project, age group can have either two or three students in it.

To find the fewest number of groups:

25 divided by 3 we get remainder 1.

But 1 student can not form a group.

So, we have to find the remainder number that can form a group or groups.

25 divided by 3,

we get quotient 7 and 4 remainder.

And 4 means, 2 groups of 2 students in each.

That means, the number of groups are 7+2 = 9

Therefore, 9 is the required number.

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Answer:

y=-5x+9

Step-by-step explanation:

Answer:

y = -5x + 9

Step-by-step explanation:

Plug each of the x values into this equation and see if you get the corresponding outputs for y, it should work fine.

Answer:

False

Step-by-step explanation:

If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.

Answer:

28 probably sorry if wrong

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

It is.

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

The math is just correct

Answer: (0.1118, 0.3454)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.

Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.

Given : n= 35

[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]

Critical z-value for 90% confidence level =1.645

A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:

[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]

∴ Required confidence interval : (0.1118, 0.3454)

Answer:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Step-by-step explanation:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12

Step-by-step explanation:

TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Answer:

182.353745455

Answer:180

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

Reasonable Answer:

If x is 4, then the answer is 13 or 5.

Step-by-step explanation:

 9-4=5

For another reason it's 13.

4 minus 13 =9

~~~Hope this helps~~~:)

Answer:

500 (or 5) is in the hundreds place, 30 (or 3) is in the tens place, and 8 is in the ones place.

Step-by-step explanation:

500 is five-hundred, 30 is a ten (10, 20, 30, 40...), and 8 is a one because it is a single digit number and no other numbers come before it, unless it is a decimal.

Answer:

5.6864

Step-by-step explanation:

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

Answer: 14[tex]x^{2}[/tex] − 16x − 6

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

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Answer:

$ 1,593.75

Step-by-step explanation:

this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D

Answer:

x=13.5

Step-by-step explanation:

Perform the same operation on each side:

2x+5 = 32

2x     = 27

x       = 13.5

So, x is 13.5