What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer: 12

Step-by-step explanation:

Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.

9x-54=4x+6                              [subtract both sides by 4x]

5x-54=6                                      [add both sides by 54]

5x=60                                         [divide both sides by 5]

x=12

Now, we know that x is 12.


Related Questions

Solve the compound - 20 ≤ 2x - 20 ≤ 10​

Answers

Answer:

0≤ x ≤ 15

Step-by-step explanation:

- 20 ≤ 2x - 20 ≤ 10​-20 + 20 ≤ 2x - 20 + 20 ≤ 10​ + 20       ⇒ add 200 ≤ 2x  ≤ 30​                                          ⇒ divide by 20≤ x ≤ 15                                               ⇒ answer

or x = [0,15]

Simplify if possible
За2 + ба +2b2

Answers

Is this the question??
9a + 2b + 4 bc your adding like terms which is 3a+6a and 2+2 is 4. Since there’s only one 2b it stays the same

you put $500 in your bank account. With a interest rate of 5%, how long will it take the account to reach $600?

Answers

Answer:

4 years hope this helps

Step-by-step explanation:

Answer:

4 Years

Step-by-step explanation:

t = I/Pr

Note the 600 is the total amount in the account.

Therefore Interest, I = 600 - 500 = 100.

t = 100 / (500 * 5%)

t =  100 / (500 *0.05)

t = 4

It will take 4 years.

y ÷ 5 = 2/5 . Find the value of y.​

Answers

Answer:

y=2

Step-by-step explanation:

[tex] \frac{y}{5} = \frac{2}{5} \\ = > y = \frac{2}{5} \times 5 \\ = > y = 2[/tex]

Answer: Y=2

Step-by-step explanation:slove for y by simplifying both sides of the equation, the isolating the variable.

Simplify 2x^2(-3x^2)^3

Answers

Answer:

[tex]-54x^8[/tex]

Step-by-step explanation:

[tex]2x^{2}(-3x^2)^3\\\\2x^2((-3)^3(x^{2*3}))\\\\2x^2(-27x^6)\\\\2(-27)(x^{2+6})\\\\-54x^8[/tex]

Answer:

[tex]-54x^{8}[/tex]

Step-by-step explanation:

[tex]2x^{2} (-3x^{2} )^{3}[/tex]

We first carry through the cube.

[tex]-3^{3} x^{2*3}[/tex]

[tex]-3^{3}[/tex] = -27     [tex]x^{2*3} = x^{6}[/tex]

Now we have [tex]2x^{2} (-27x^{6} )[/tex]

2 * - 27 = -54

[tex]x^{2} *x^{6} = x^{8}[/tex]

[tex]-54x^{8}[/tex]

5/4 * 6/7 Multiply. Write your answer as a fraction in simplest form. Thank you btw

Answers

Answer: 59/28

Step-by-step explanation: 59/28

59/28 is the answer.

The five number summary of a dataset was found to be: 45, 46, 51, 60, 66
An observation is considered an outlier if it is below:____________.
An observation is considered an outlier if it is above:____________.

Answers

Answer/Step-by-step explanation:

Given the five summary of a data set:

45 - min

46 - Q1

51 - Median

60 - Q3

66 - Max

Thus, any number less than [tex] Q_1 - (1.5*IQR) [/tex], or any number that is greater than [tex] Q_3 + (1.5*IQR) [/tex] would be considered an outlier.

The IQR of the data set = Q3 - Q1 = 60 - 46 = 14

Thus,

[tex] Q_1 - (1.5*IQR) = 46 - (1.5*14) = 46 - 21 = 25 [/tex]

Therefore, an observation is considered an outlier if it is below: 25.

[tex] Q_3 + (1.5*IQR) = 60 + (1.5*14) = 60 + 21 = 81 [/tex]

Therefore, an observation is considered an outlier if it is above: 81.

Cheryl thinks that the
following expressions are
equivalent:
3x + 3 = 3 + 3x + 0
Is Cheryl right? If so,
prove that these two
expressions are
equivalent. If not, what
error(s) did Cheryl make?

Answers

Answer:

yes she is right

Step-by-step explanation:3x + 3 is the same as 3 + 3x.  

the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.

i hope this helps you.

FIND THE VALUE OF X2 FOR 20 DEGREES OF FREEDOM AND AN AREA OF .010 IN THE RIGHT TAIL OF THE CHI SQUARE

Answers

Answer:

The critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.

Step-by-step explanation:

We have to find the value of chi-square for 20 degrees of freedom an area of 0.01 in the right tail of the chi-square.

As we know that in the chi-square table; there is one vertical column represented by 'P' (the level of significance and one horizontal column represented by '[tex]\nu[/tex]' which is degrees of freedom.

Here, the degrees of freedom given to us is 20.

and the level of significance is 0.01 or 1% for the right tail of chi-square.

By looking at the chi-square table, the critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.

The ratio of fiction to nonfiction books in a classroom library is 2 to 3 . If there are 24 books nonfiction books in the classroom library , how many fiction books are there?

Answers

Answer:

16

Step-by-step explanation:

Given the ratio of fiction to nonfiction books in a classroom library is 2 to 3, then the total ratio of both books will be 2+3 = 5. If there are 24 books non fiction books in the library, to get the amount of fictionbooks that are there we will follow the following steps.

First we will calculate the total number of books in the shelf;

3/5 * Total number of books = total non fiction books

3/5 * Total number of books = 24

3*Total number of books = 5*24

3*Total number of books = 120

Total number of books = 120/3

Total number of books = 40

Therefore there are 40 total of books on the shelf.

Total number of fiction books = 2/5 * 40

Total number of fiction books = 2* 8

Total number of fiction books = 16 books

Hence there are 16 fiction books on the shelf.

Explain the difference between (-5)2 and -52.

Answers

Answer:

(-5)2 would become -10, whereas -52 would just stay the same. Normally, a number next to parentheses without any other signs (+,-,×,÷) means that you multiply.

(-5)2 parentheses mean multiply and 5*2 would be -10 and the -52 would stay the same

The price for 2 student tickets and 4 adult tickets to a play is $50. Adult tickets are $5 more than student tickets. write an the equation

Answers

Answer:

2x + 4y = $50

x = $5, and y = $10

Step-by-step explanation:

let the price of student's ticket be represented by $x, and that of adult by $y. So that:

2x + 4y = $50 ................  1

But, given that adult tickets are $5 more that student tickets.

i.e y = x + $5  .................  2

Substitute equation 2 into 1, to have;

2x + 4(x + $5) = $50

2x + 4x + $20 = $50

6x = $30

x = $5

From equation 2,

y = 5 + 5

  = $10

Therefore, the price of student tickets is $5 and adult tickets is $10.

What is 387.0642 rounded to the nearest hundredth​

Answers

Answer:

387.06

Step-by-step explanation:

(0 to 5) = round down

(5 to 9) = round up

[tex]387.0642 \\ \: \: 1 \: 00[/tex]

Answer:

387

Step-by-step explanation:

387.0642 apprx. 387

0 is not equal to five nor is greater than.

Hope this helps ;) ❤❤❤

Suppose you toss 6 coins. What is the probability that 3 of the coins are heads and 3 of the coins are tails

Answers

Answer:

12, either it will happen or it won't. It is true that each sequence of heads and tails is equally likely to occur – with probability 164, in this case. However, the number of those sequences having exactly three heads is not 32, but (63)=20, which leads to the correct answer of 516.

Step-by-step explanation:

google

Answer: 50%

Step-by-step explanation: Because the likelyhood would be as likely as not then that would be half of 100, or 50%

Combining liked terms. Solve these, please. 1. -6k+7k 2. 12r-8-12 3. n-10+9n-3 4. -4x-10x

Answers

Answer: 1: k 2: 12r-20 3: 10n-13 4: -14x

Step-by-step explanation:

find the value of x and y if y-2x=3 and x+y=3​

Answers

Answer:

x= 0 y = 3

Step-by-step explanation:

i hope it helped u!!

** uestion number 2
A hardware store buys a hammer at a cost of
$6.00. The selling price of the hammer is
$12.00
The amount of markup is - and the
percent of markup based on selling price
rounded to two decimal places is
Hint: Use the formulas: Markup Selling
Price - Cost, and
Percent of Markup based on a re
Selling Price​

Answers

Answer:

12 - 6 = $6 markup

marked up 200% (i think) because it is sold at twice the amount of bought price

What is I need it fast 3/4x = -18

Answers

Answer:

x=-24

Step-by-step explanation:

i looked it up

Answer:

X = - 1

24

Step-by-step explanation:

Solution,

3/4x = -18

or, 3/4x = -18/1

or, 3*1 = 4x*(-18) [ cross multiplication ]

or, 3 = -72x

or, -72x = 3

or, x = 3/(-72)

or, x = - 1 [ Answer ]

24

A teacher gave his students the four graphs below. Which graph represents a geometric sequence?

Answers

Answer:

Graph A

Step-by-step explanation:

Answer:

The Answer is Graph A on Edge

Step-by-step explanation:

solve for v

pleaseee answer and explain <333

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{v = -27}[/tex]

[tex]\frac{v-3}{4} = \frac{9+2v}{6}[/tex]

Cross multiply:

[tex]6 ( v - 3) = 4 ( 9 + 2v)[/tex]

Distribute:

[tex]6v - 18 = 36 + 8v[/tex]

Isolate the "v" variable:

[tex]6v - 18 + 18 = 36 + 18 + 8v[/tex]

[tex]6v = 54+ 8v[/tex]

[tex]6v - 8v = 54+ 8v - 8v[/tex]

[tex]-2v = 54\\\\v = -27[/tex]

I need help PWEASEEEE

Answers

Answer:

B.

Step-by-step explanation:

From the number line, we can see that the blue line points to all values to the left of 5. This means all values less than 5.

Also, note that since the blue dot is closed, the inequality includes 5.

Therefore, the inequality that represents the graph is all values less than or equal to 5.

In notation, this is:

[tex]x\leq 5[/tex]

The answer is B

Answer:

your answer is B. [tex]x\leq 5[/tex]

Step-by-step explanation:

[tex]x\leq 5[/tex] means that your arrow should be point left which means less than the line under the less than means that the don´t should be shaded in

Determine whether the statement is true or false. 12∈{18,17,15,13,12}

Answers

Answer:

  True

Step-by-step explanation:

12 is the last element of the given set. The statement that it is an element of the set is true.

match each statement to the reasons given for the geometric proof. Part 2

Answers

Answer:  5, 3, 2, 4, 1

Step-by-step explanation:

The proof should be written as follows:

   Statement                                                Reason

1. ABCD is a parallelogram                      1. Given

2. AB||CD and AC||BD                              2. Definition of a parallelogram

3.  ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD    3. Corresponding Angles Thm

4.  ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC    4. Transitive Property of Cong

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD    5. Alternate Interior Angles Thm

This is the order provided in your question:

5. ∠CDB ≅ ∠CAB and ∠ACD ≅ ∠ABD    5. Alternate Interior Angles Thm

3.  ∠EBD ≅ ∠CAB and ∠FAC ≅ ∠ABD    3. Corresponding Angles Thm

2. AB||CD and AC||BD                              2. Definition of a parallelogram

4.  ∠EBD ≅ ∠CDB and ∠ACD ≅ ∠FAC    4. Transitive Property of Cong

1. ABCD is a parallelogram                      1. Given

Note: #2 & #4 might be reversed

If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

Answers

Answer:

[tex] Volume = 12\sqrt{7} [/tex] cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = [tex] \sqrt{7} [/tex] units

Plug the values into the formula to find volume.

[tex] Volume = \frac{1}{3}*36*\sqrt{7} [/tex]

[tex] Volume = 12*\sqrt{7} [/tex]

[tex] Volume = 12\sqrt{7} [/tex] cubic units

How would you round 95687 to the nearest thousand?

Answers

Answer:

96,000

Step-by-step explanation:

To round to the nearest thousand, we need to look at the digit in the hundreds place, which is 6. Since 6 > 5, we know that we need to round up (because 6 is closer to 10 than it is to 0). Currently, the number is 95 thousand so when rounding up, the answer will be 96,000.

What is the area of this figure? 15 yd 4 yd 7 yd 25 yd 21 yd 22 yd​

Answers

Answer:

45

Step-by-step explanation:

Find the indicated function for f(x) = x^2 + 3x -1 and g(x) = 3x . Question
1. (f +g) (x) =

Answers

Answer:

Step-by-step explanation:

x^2 + 3x - 1 + 3x

x^2 + 6x - 1 is the solution

please help// geometry question... i will post the other picture for this question it will be under “geometry question pt.2”

Answers

Answer:

a) E

b) line segment AB

Step-by-step explanation:

a) E

b) line segment AB (It's AB with the line over it - no arrowheads)

Answer:

a)e

b)a

c)e

Step-by-step explanation:

a swimming pool is 60m long and 25m wide. it is filled with water to a depth of 7m. find the volume of water in the pool​

Answers

Answer:

10500 m³

Step-by-step explanation:

60 × 25 × 7 = 10500 m³

The set of numbers whose decimal representations are neither terminating nor repeating is called the set of

Answers

Answer:

its A

Step-by-step explanation:

Answer: terminating nor repeating

Step-by-step explanation:

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