Solve for x. Answer as a whole number.

Solve For X. Answer As A Whole Number.

Answers

Answer 1

Given:

In triangle ABC, AE is the angle bisector.

[tex]AB=4, BE=2, AC=x, CE=3[/tex]

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.

Using the angle bisector theorem, we get

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]

[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]4\times 3=2\times x[/tex]

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{12}{2}=x[/tex]

[tex]6=x[/tex]

Therefore, the value of x is 6.


Related Questions

Solve each system of linear equations by using substitution method.

x - y = -2
2x + y =5

100 POINTS PLS ANSWER

Answers

Answer: x=1 y=3....do you need to show your work?

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

7 times 6 pls answer this

Answers

Answer:

42

Step-by-step explanation:

7 * 6 = 42

Hope this helps!

Answer:

42

Step-by-step explanation:

6 x 7 =42

Hope this helps! Please mark brainiest!

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

I believe it is D

Step-by-step explanation:

We can first multiply the 2 and 4 together to get 8.

Wow we already eliminated A.

When you have negative powers, you can just replace it with their inverse and turn the power positive.

For example, 2 to the power of -3  (2 ^ -3) can be replaced by 1/2 to the power of 3 (1/2^-3).

So we now have 8  (x^4 / yx^2

We can then just subtract the x's power of 2, because when dividing exponents with the same variable or base, we can just subtract them.

For example, x^5  divided by x ^ 2 has the same base/ variable of x, and you can subtract the 5 by 2 to get x^3.

So we have 8 ( x^2y)

So 8x^2 y

D.

Can you help me im stuck on this
One question

Answers

Answer:

She forgot to multiply. She wasn’t supposed to add.

Step-by-step explanation:

Jasmine made an error where the 9(9) connect. She added and got 18, but instead, you’re supposed to multiply the 9 x 9, which is 81. Now, we add the 3, and the sum is 84m.

she didn’t multiply. you need to multiply 9•9. then add 3

Use the following function rule to find f(-62). help plz!!

Answers

Answer: 8

Step-by-step explanation: plug in -62 as equal to x

Point F is on line CD. Find the measure of angle CFE. Show your work.

Answers

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

Help, so You pick a card at random. Without putting the first card back, you pick a second card at random. There are 3 cards, a 5 a 6 and a 7 What is the probability of picking a 5 and then picking a 6?

Answers

Given:

There are 3 cards, a 5 a 6 and a 7.

You pick a card at random. Without putting the first card back, you pick a second card at random.

To find:

The probability of picking a 5 and then picking a 6.

Solution:

We have,

Total number of cards = 3

Number of card of 5 = 1

So, probability of getting a card of 5 is:

[tex]P(5)=\dfrac{\text{Number of card of 5}}{\text{Total number of cards}}[/tex]

[tex]P(5)=\dfrac{1}{3}[/tex]

After this selection, the remaining number of cards is 2. So, probability of getting a card of 6 in second draw is:

[tex]P(6)=\dfrac{\text{Number of card of 6}}{\text{Total number of remaining cards}}[/tex]

[tex]P(6)=\dfrac{1}{2}[/tex]

Now, the probability of picking a 5 and then picking a 6 is

[tex]P(\text{5 then 6})=P(5)\times P(6)[/tex]

[tex]P(\text{5 then 6})=\dfrac{1}{3}\times \dfrac{1}{2}[/tex]

[tex]P(\text{5 then 6})=\dfrac{1}{6}[/tex]

Therefore, the probability of picking a 5 and then picking a 6 is [tex]\dfrac{1}{6}[/tex].

Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded continuously. Lauren invested $20,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 ​ % compounded monthly. After 20 years, how much more money would Lauren have in her account than Ian, to the nearest dollar?

Answers

Answer:

$5047

Step-by-step explanation:

im smart

deltamath gang

Solve for x to the nearest tenth.
х
3
7
3
20 POINTS

Answers

Answer:1.7

Step-by-step explanation:

Select all that apply 40% is what percent of 25

Answers

Answer:

10

Step-by-step explanation:

:)

Answer:

the answer is 10 :) I hope you do well in the rest of your test!

please help i will give brainliest

Answers

Answer:

Step-by-step explanation:

P=3/6 ×5/26=5/52

2.for Corner

P=3/6×5/26=5/52

3. for Cecilia

P=2/6×5/26=5/78

PLEASE HELP ME THIS IS URGENT

Answers

Split this figure out. Find the area of the square, as well as the rectangle.

First, the square

A= 4 x 3

A= 12 ft^2

Therefore, the square has an area of 12ft^2.

Then, the rectangle.

We must first find the length of the unknown side.

We have two measurements of 3ft on each side, as well as the middle measurement of 4ft.

So,

3+3+4=10

Now, find the area.

A= 2 x 10

A=20ft^2

Add the areas.

20+12=32ft^2

Therefore, the area of the figure is 32ft^2.

I hope this is correct. Best of luck.

Which equation represents: three times the difference of a number and five is nine

Answers

Answer would be: 3(x-5)= 9

Please help!!! 20 points

Answers

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

4.

Match the graph with its equation.


A. y = 3

B. y = –3

C. x = –3

D. x = 3

Answers

Answer:

D. x = 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: Undefined

y-intercept: No y-intercept

x

y

3

0

3

1

A team of students is designing a new game to help their class review for a science test. They will make a rolling cube with a side length of 7 cm as part of the game.

A cube has side lengths of 7 centimeters.

How much material will they need to make the rolling cube?
49 square cm
138 square cm
294 square cm
307 square cm

Answers

Answer:

C (294)

Step-by-step explanation:

Took the test :)

Find the measure of angle b.

Which is the answer?

A.79
B.101
C.169
B.11

Can you help me, I would appreciate it very much:)

Answers

The answer is C k hope u got it right

udent
You roll a number cube two times. Which of the theoretical probabilities are accurate?
Check all that apply.
OP(1 then 0) = }
Pleven number then odd number) = 4
P(6 then 2) = 36
Pleven number then 5) = 12
ook
ons
ative
Plodd number then 2) =
HELP

Answers

Answer:

B ; C ; D

Step-by-step explanation:

Number of faces on a number cube = 6

Sample space = (1, 2, 3, 4, 5, 6)

P(1 then 0)

P(1) = 1/6 ; P(0) = 0

P(1 then 0) = 1/6 * 0 = 0

P(even number then odd number) :

P(even number) = 3/6 = 1/2

P(odd) = 3/6 = 1/2

P(even number then odd number) = 1/2 * 1/2 = 1/4

P(6 then 2) :

P(6) = 1/6 ; P(2) = 1/6 = 1/2

P(6 then 2) = 1/6 * 1/6 = 1/36

P(even number then 5) :

P(even) = 3/6 = 1/2

P(5) = 1/6

P(even number then 5) = 1/2 * 1/6 = 1/12

P(odd number then 2) :

P(odd) = 3/6 = 1/2

P(2) = 1/6

P(odd number then 2) = 1/2 * 1/6 = 1/12

The length of a rectangle is 5 inches more than its width. The area of the rectangle
is 150 centimeters. Find the dimensions of the rectangle.

Answers

it's good to write it out

length = 5 + width

area = 150

width = x

length = 5 + x

area = length * width

so

(5 + x) (x) = 150

5x + x^2 = 150

x^2 + 5x - 150 = 0

following you have to guess what 2 numbers when multiplied male 150 and when added make 5

and they are 15 and 10

(x +15) (x-10)

x = -15

x = 10

so the dimensions are

length = 15

and

width = 10

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answers

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

What is the empirical rule?

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

brainly.com/question/27914019

#SPJ2

Question 5 (1 point) 5 The Cool Shirts company prints personalized designs on T-shirts. The cost y for x shirts with the same design is shown in the table below. y 10 $105 20 $185 30 $265 4:0 $345 Which equation represents the relationship between x and yo! A y = 10x - 55 By = 80x + 105 C y = 8x + 25 D y = 25x + 8 a А B od​

Answers

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Send help plsssss math is difficult

Answers

c = 10 (info from omni calculator)

The radius of a cylindrical construction pipe is 3.5ft. If the pipe is 40ft long, what is its volume?

Use the value 3.14 for π, and round your answer to the nearest whole number.

Be sure to include the correct unit in your answer.

Answers

Answer:

1539 ft^3

Step-by-step explanation:

3.5×3.5=12.25

12.25×3.14=38.465

38.465×40=1,538.6

1538.6 rounded to the nearest whole number is 1539.

can someone help me with this???

Answers

Answer:

it's 47 degree answer of your question

It would be 47 degrees

Tommy bought p boxes of 26 paperclips. He already had 35 paperclips. Now, he has 191 paperclips. How many boxes of paperclips did Tommy buy in all?

Answers

Answer:

Tommy bought 6 boxes

Step-by-step explanation:

subtract 35 from 191, and you get 156. 156 divided by 26 = 6. so 6 boxes

Use the dice lattice shown below to answer the question that follows.

When Martha rolled the dice 36 times, she got a sum of 8 seven times. Explain why Martha's
experimental probability is different than a theoretical probability.

Answers

Answer:

Theoretical probability is what is expected and experimental probability is the answer.

Step-by-step explanation:

Theoretical probability is what you expected the answer to be. In reality the experimental probability is the actual answer.

Using the Exxon data as an example pretend Pennys Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares what percent of Penny's Picklesdo you own

Answers

you would own 2% of penny’s Picklesdo i hope this helps

Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

What is percentage?

Percentage a is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]\%[/tex].

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

We have,

Total shares of Penny's Pickles [tex]=10,000[/tex]

You owned shares   [tex]= 200[/tex]

So,

Using above formula,

Percentage [tex]=\frac{ You\ owned}{Total \ share} * 100[/tex]

Percentage of shares I owned [tex]=\frac{200}{10000} * 100[/tex]

                                                    [tex]= 2 \%[/tex]

So, the shares you owned are [tex]2\ \%[/tex] of total share of the Penny's Pickles.

Hence, we can say that Penny's Pickles divide their company into 10,000 shares of stock. If you buy 200 of these shares then you will have  [tex]2\[/tex]  percent of Penny's Pickles.

To know more about percentage click here

https://brainly.com/question/24159063

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help me pls and thank you

Answers

Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.

Answers

Answer:

48 ounces

Step-by-step explanation:

Answer:

64 ounces.

Step-by-step explanation:

combined weigh = weight of cat 1 + weight of cat 2

combined weigh = 17 + 12 = 29 pounds

The difference in weight of the Dog's weigh by the combined cat's weigh is the subtraction between the two, so we have:

Difference in weigh = 33 - 29 = 4 pounds

We now have to convert it to ounces, since 1 pound contains 16 ounces we can multiply the value of the weigh in pounds by 16 to obtain the final value:

Difference in weigh = (4 pounds)* 16 = 64 ounces

help me and please tell me how did you get the answer​

Answers

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

the answer is 10
how i got the answer was buy adding all the 2s together to get 8 and then i added all the half’s witch made 2 and all there was left to do was add the 2 and the 8 to get 10
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