AE = 3x - 2 and EC = 2x + 3 then DB =

#5

AE = 3x - 2 And EC = 2x + 3 Then DB =#5

Answers

Answer 1

Answer:

DB = 26

Step-by-step explanation:

Remember:

AE ≅ ECAC ≅ DB

☆The equation in finding the value of x would be 3x - 2 = 2x + 3.

☆Let's solve the equation.

[tex] \: \: \: \: \: \: \: \: \: 3x - 2 = 2x + 3 \\ \frac{ - 2x \: \: \: \ = - 2x}{x - 2 = 3} \\ \frac{ \: \: \: \: \: + 2 = + 2}{x = 5} [/tex]

☆Now that we found the value of x, we are going to plug in for AE and EC.

[tex]AE ; \\ 3x - 2 \\ 3(5) - 2 \\ 15 - 2 \\ 13 \\ \\ \\ \\ and \\ \\ \\ \\ \\ EC; \\ 2x + 3 \\ 2(5) + 3 \\ 10 + 3 \\ 13[/tex]

☆AE and EC each measure 13. To find the length of AC, you will have to add AE and EC. [tex]13 + 13 = 26[/tex]

The length of AC is 26. And since we know that AC is congruent (equal) to DB, meaning they measure the same. DB length is also 26.


Related Questions

What is the number based on the list of factors? 1,3,7, __
Please help

Answers

Answer:

21 I think, might be wrong.

I need help ASAP no rocky

Answers

Answer:

no rocky

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I think it's C and I am always right so it is C! You're welcome!

What reason can be used to complete this proof?


m∠1=m∠3 because ∠1≅∠3.

m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.

m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.

m∠CXB=m∠AXD by the transitive property of equality.

So, ∠AXD≅∠CXB.

Answers

Answer:

Option (2)

Step-by-step explanation:

Given:

∠1 ≅ ∠3

To Prove:

∠AXD ≅ ∠CXB

Solution:

Given question is incomplete; find the complete question in the attachment.

            Statements                                                              Reasons

1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3          1). Given

2). m∠1 + m∠2 = m∠CXB and                    

    m∠2 + m∠3 = m∠AXD                            2). Angle addition postulate

3). m∠1 + m∠2 = m∠AXD                             3). Because you can substitute

                                                                          m∠1 for m∠3

4). m∠CXB = m∠AXD                                   4).Transitive property of equality

5). ∠AXD ≅ ∠CXB

Therefore, Option (2) will be the correct option.

Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.

Answers

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?

Answers

The probability of selecting M and T are 4

Which graph represents this system? 2x-5v=-5 y=-3x+1​

Answers

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the system of equations

2x - 5y = -5    --- [Equation 1]

y = -3x + 1​      --- [Equation 2]

converting the equation 1 in the slope-intercept form

2x - 5y = -5

5y = 2x+5

divide both sides by 5

y = 2/5x + 1

Thus, the y-intercept  = 1

Now, please check the attached graph below.

The red line represents the equation  2x - 5y = -5

From the graph, it is clear that the red line has the y-intercept y = 1.

Now, considerng the equation 2

y = -3x + 1​  

comparing with the slope-intercept form of line equation

The y-intercept b = 1

Hence, the y-intercept of the line y = -3x + 1​ is y = 1

The green line represents the equation  y = -3x + 1​  

From the graph, it is clear that the green line has the y-intercept y = 1.

Point of Intersection:

It is clear from the graph:

The red line represents the equation  2x - 5y = -5.The green line represents the equation  y = -3x + 1​.

As both lines meet or intersect at the point (0, 1).

Therefore, the point of intersection of both the lines is:

(x, y) = (0, 1)

As we know that the point of intersection of both the lines represents the solution to the system of equations.

Therefore, (0, 1) on the graph represents the solution to the system of equations.

The graph is attached below.

If 4/3 liters of water are enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Write a division equation that could be used to solve this problem help six grade work

Answers

3.166666666 with the 6 repeating

I need the answer i have spent forever on this.

Answers

Answer:

A y=2x + 3

Step-by-step explanation:

Answer:

The answer is A. (y = 2x + 3)

Step-by-step explanation:

Since its talking about $3 plus $2 per dog it would make sense to pick

y = 2x + 3 because 2x represents the number of dogs and how it costs $2 per dog while the 3 represents how it also cost $3 plus the $2.

Solve for t in terms of u, v, w, and x.

Answers

Answer:

there's no image lol

Step-by-step explanation

2+4x=2(2x+1)
Which statements are true?

Select each correct answer.


There is no value for x that will make the equation true.

The equation is an identity,

The solution is 2.

There are infinitely many solutions.

The equation is a contradiction.

There are no solutions.

The equation is true for all values of x.

Answers

Correct answers:
1. There is no value of X that will make the equation true
2. The equation is an identity
4. There are infinite many solutions
5. The equation a contradiction

Please please help

Find the measure of the missing angle.
63°

Answers

Answer:

27 degrees

Step-by-step explanation:

Answer:

a = 27° ______

Step-by-step explanation:

~~~~~~~~~~

what is the answer of X

Answers

Answer: x = -5

Step-by-step explanation:

-3.4x - 9 = 8

         +9  +9

    -3.4x = 17

-3.4x ÷ -3.4 = x

17 ÷ -3.4 = -5

Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?

Answers

Answer:

a) % age of samples containing none of these defects = 93.9%

b)% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect = 98.9%

Step-by-step explanation:

Data Given:

Number of Samples = 1000

Type X defect = 2.1% = 21 samples

Type Y defect = 2.4% = 24 samples

Type Z defect = 2.8% = 28 samples

Both Type X and Y defect = 0.3% = 3 samples

Both Type X and Z defect = 0.4% = 4 samples

Both Type Y and Z defect = 0.6% = 6 samples

Type X and Y and Z defect = 0.1%  = 1 sample

Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.

a) % age of samples containing none of these defects.

Solution:

Number of samples containing none of these defects = Total - Samples with defects

Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

 Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }

Number of samples containing none of these defects = 1000 - 61

Number of samples containing none of these defects = 939

% age of samples containing none of these defects = 939/1000 x 100

% age of samples containing none of these defects = 93.9%

b) % age of samples containing at least one of these defects:

We have already calculated this above, number of samples containing at least on of these defects:

number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }  

number of samples containing at least on of these defects = 61

% age of samples containing at least one of these defects = 61/1000 x 100

% age of samples containing at least one of these defects = 6.1%

c) % age of samples free of type X and/or type Y defects.

For this find, we need to find the samples with only Z Type defect.

Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }

Number of Samples with Only Z type defects = { (28)  -(4) - (6) + (1) }

Number of Samples with Only Z type defects = 19

Now, we also know the number of samples without any defects = 939

Now,

The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects

The number of samples free of type X and/or type Y defect = 19+939

The number of samples free of type X and/or type Y defect = 958

% age of samples free of type X and/or type Y defects = 958/1000 x 100

% age of samples free of type X and/or type Y defects = 95.8%

d) %age of samples with not more than 1 defect:

For this find, we need to find number of samples with only X type and with only type Y and with only type Z.

We have already found the number of samples with only Z type defect = 19

Now,

number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only X type defect =  { (21)  -(4) - (3) + (1) }

number of samples with only X type defect =  15

Similarly,

number of samples with only Y type defect =  { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }

number of samples with only Y type defect =  { (24)  -(6) - (3) + (1) }

number of samples with only Y type defect =  16

For,

samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects

samples with not more than 1 defect = 939 + 16 + 15 + 19

samples with not more than 1 defect = 989

%age of samples with not more than 1 defect = 989/1000 x 100

%age of samples with not more than 1 defect = 98.9%

what a ratio of 4 days to 36 hours​

Answers

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

Two possible floor plans for a new bathroom are shown.
Is there a value for x for which the perimeters are equal?
What is the linear equations?

Answers

Answer:

Hope it works for u

Step-by-step explanation:

As we have given two shapes bathroom

square and rectangle

Parameter of square= sum of all the sides   ( : In square all sides are equal

Parameter of square= 4*L  = 4*(x+3)       (:L=x+3

similarly,

In rectangle opposites sides  are equal hence

Perimeter of rectangle= 2*length+2*width  ( : length=x+4,width can't be seen clearly so I assume and take it width=x+1  hope this is equal to the width of ur question otherwise do the calculation by ur self).

Perimeter of rectangle= 2*(x+4)+2(x+1)

so now we have to find the value of "x" for which both perimeter are equal, so

perimeter of square= perimeter of rectangle

4*(x+3)=2*(x+4)+2(x+1)  we can also write as

2(x+3)+2(x+3)=2(x+4)+2(x+1)This is the linear equation requirednow to find value of "x"simplify both sides, we get4x+12=4x+100≠2 so that not true and also there is no value of "x"

for which both parameters become equal

so from my side "b" option is correct

Please brain-list it if u find it help-full it requires effort!

Answer: B option is correct. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

explanation: I hope that was helpful!

What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.

A. 225
B. 81
C. 3
D. No solution

Answers

B.) 81
sq rt of x= 12-3
sq rt of x=9
take the ^2 of both sides to get rid of the sq root
x^2= (9)^2
=81

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

Learn more about equations at

https://brainly.com/question/2972832

#SPJ2

YOU HAVE SAVED $5000 AND INVESTED IT AT A RATE 3.2% FOR 5 YEARS. WRITE AN EXPONENTIAL FUNCTION TO REPRESENT THIS SITUATION. HOW MUCH WILL VOU KAVE AFTER YEARS? HOW MUCH WILL A BILLIONAIRE HAVE IF HE INVESTS $1,000,000,000 AT THE SAME RATE FOR THE SAME AMOUNT OF TIME?

Answers

Answer:

5852.86 = 5000 (1+ .032)^5

1170572956 = 1,000,000,000(1+ .032)^5

Step-by-step explanation:

Solve math please.???

Answers

9514 1404 393

Answer:

  a) 3

  b) 1

  c) y = 3x +1

Step-by-step explanation:

Given:

  A(1, 4), B(2, 7)

  m = (y2 -y1)/(x2 -x1)

Find:

  a) the slope of the line through these points

  b) the y-intercept of the line through these points

  c) the equation of the line through these points

Solution:

a) Using the given formula, the slope is ...

  m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line

__

b) The y-intercept can be found from* ...

  b = y1 -m·x1

  b = 4 -3·1 = 1 . . . the y-intercept

__

c) The equation in slope-intercept form is ...

  y = mx +b

  y = 3x +1

_____

* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:

  y -y1 = m(x -x1)

  y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1

  b = y1 -m·x1 . . . . . . . . solve for b

if we need to decrease the standard deviation of the sampling distribution by half what do we need to do to the sample size

Answers

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Find the indicated probability. In one town, 71% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance

Answers

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254

-1<9+n<17 and graph the answer after

Answers

Answer:

We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

Or we can write as:  [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Step-by-step explanation:

We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.

Solving the inequality

[tex]-1<9+n<17[/tex]

We know that if a<u<b then we can write a<u and u<b

So, we can write

[tex]-1<9+n \:and\: 9+n<17[/tex]

Solving these equations and finding values of n

[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]

So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

We can write it as: -10< n and n<8

Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

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