If AACD ~ AABE, find the value of x.


If AACD ~ AABE, Find The Value Of X.

Answers

Answer 1

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

Corresponding sides are proportional.

  BE/CD = AE/AD

  20/(3x+8) = (x-1)/(x-1+27)

  20(x+26) = (3x+8)(x -1)

In standard form, this is ...

  3x^2 -15x -528 = 0

  x^2 -5x -176 = 0 . . . . . . divide by 3

  (x -16)(x +11) = 0 . . . . . . . factor

  x = 16

__

This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.


Related Questions

Mateo and Logan finished 65% of their math homework. If it has 20 problems, how many problems have they done?​

Mr. Philps made 1 gallon of fruit punch for his class party. If he has 27 students, and each of them will drink 1 cup, will he have enough

Answers

Answer:

1st question: 13 questions

2nd question: Mr.Philps will not have enough

Step-by-step explanation:

Mateo and Logan finished 65% of their math homework. If it has 20 problems, how many problems have they done?​

20 x 0.65 = 13

Mr. Philps made 1 gallon of fruit punch for his class party. If he has 27 students, and each of them will drink 1 cup, will he have enough?

1 gallon = 16 cups

27 students x 1 cup each = 27 cups

27 is greater than 16, so no, he will not have enough.

help me plzzzzzzzzzzzz

Answers

The answer is -7!!!!!!!

82 is 97% of what?
can someone answer please

Answers

The answers 84 I believe

The price of a notebook has dropped to 3.15 today. Yesterday's price was 3.65 . Find the percentage decrease. Round your answer to the nearest tenth of a percent

Answers

Answer:

13.7%

Step-by-step explanation:

Percentage decrease = (3.65 - 3.15) / 3.65 * 100% = 13.7%

Plsssssss help plsss plssss plsss

Answers

Answer:

7/24

Step-by-step explanation:

in order to get the fraction, you need to add all of the books read together; you should get 120.

Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.

Then place 35 on top of 120 to form the fraction: 35/120.

Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.

Pls help me quickly

Answers

All real solutions

Everything cancels out once you multiply the top equation by two.
0 = 0 which means all real answers.
I hoping you meant question 3. Good luck!

Answer:

hope this will help you further

12A+14+2B+6-3C+2A-3B+1=​

Answers

Answer: 14a - b - 3c + 21

Answer:

31

Step-by-step explanation:

It had the same slope as y = 3 and passes through (1,5).

Answers

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Janice owned 17 books and bought 5 new books each month. Eunice owned 27 books and bought 3 new books each month. The graph below shows the number of books each student owned
over a 12-month period.

A. Each student owned 42 books on the fifth month.

B. The students had 42 books altogether on the fifth month.

C. Each student owned 27 books on the second month.

D. The students had 27 books altogether before the first month.

Answers

Answer:A

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80. What ratio represents the cotangent of ∠G?

Answers

Given:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.

To find:

The ratio which represents the cotangent of ∠G.

Solution:

In a right angle triangle, the ratio of the cotangent of an angle is

[tex]\cot \theta =\dfrac{Base}{Perpendicular}[/tex]

It is also written as

[tex]\cot \theta =\dfrac{Adjacent}{Opposite}[/tex]

In ΔFGH, the measure of ∠H=90°. So,

[tex]\cot G =\dfrac{HG}{FH}[/tex]

[tex]\cot G =\dfrac{80}{39}[/tex]

Therefore, the ratio for the cotangent of ∠G is [tex]\cot G=\dfrac{80}{39}[/tex].

it’s not A bc i got it wrong

Answers

The answer is A. unchanged

FIRST-PERSON TO HELP GETS 70 POINTS!!!! Can I get some help, please? DUE IN A FEW MINUTES!!!

Answers

Answer:

Area = 20 in^2

Step-by-step explanation: 20/4=5  100/5=20

Answer:

20 inches squared

Step-by-step explanation:

20 ÷ 4 = 5

100÷5 = 20

Can someone help me solve this problem?

Answers

Answer:

a = 8

b = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

I've attached a picture of the 45-45-90 triangle's formula, which is the length of the hypotenuse = [tex]\sqrt{2}[/tex] times the length of a leg (one of the sides of the triangle).

So, applying this to your problem, if 4[tex]\sqrt{2}[/tex] if one of the legs of the triangle, the other leg, which is b , would be the same length.

b = 4[tex]\sqrt{2}[/tex]

To solve for a, you would have to multiply the leg by [tex]\sqrt{2}[/tex].

a = 4[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]

I would separate the 4 and the [tex]\sqrt{2}[/tex].

a = 4 x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex]

a = 4 x [tex]\sqrt{2 *2}[/tex]

a = 4 x [tex]\sqrt{4}[/tex]

a = 4 x 2

a= 8

What is a data point that is very different from the rest of the data in a set?

Answers

Answer:

Outlier

Step-by-step explanation:

Which of the coordinates is equal to cos(50)

Answers

Answer:

you need to upload a pic

Step-by-step explanation:

.

Answer:

x-coordinate of point A

Step-by-step explanation: Khan Academy

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

3x4x5x6x7x8=20160

Step-by-step explanation:

what is the time after 5 hours to 8:40 a.m.​

Answers

Answer:

The time would become 13:40

Step-by-step explanation:

8 in 8:40 is hours

40 in 8:40 is minutes.

Answer:

1:40pm

Step-by-step explanation:

There are 6 animals in the pen some are quails and some are goats if there are 20 legs in all how many quails and how many goats are there?

Answers

Answer:

4 goats

Step-by-step explanation:

Let us represent

Number of quails = x

Number of goats = y

Quails have 2 legs

Goats have 4 legs

Hence:

There are 6 animals in the pen some are quails and some are goats

x + y = 6...... Equation 1

x = 6 - y

if there are 20 legs in all how many quails

2x + 4y = 20..... Equation 2

We substitute 6 - y for x in Equation 2

2(6 - y) + 4y = 20

12 - 2y + 4y = 20

Collect like terms

- 2y + 4y = 20 - 12

2y = 8

y = 8/2

y = 4 goats

The number of goats there are 4 goats

Binomial Probability Distribution. How to determine the probability of one candidate of two winning.

Answers

.5

B - binary?
I - independent?
N - trials
S - prob success

B - yes, win or not
I - past candidates don’t affect future candidates
N - 2 candidates
S - .5 probability of winning

Go to the binompdf function on your graphing calculator.

binompdf(2 (trials), .5 (p), 1 (1)) = .5

A tree casts a shadow that is 9 meters long. A 54 meter tall building nearby casts a shadow that is 24 meters long. What is the height of the tree

Answers

Answer:

Height of the tree is 20.25 m.

Step-by-step explanation:

Length of building AB = 54 m

Length of tree DE = 9 m

Shadow casted by the building (BC) = 24 m

Shadow casted by the tree (CE) = 9 m

Since, ΔABC ~ ΔDEC

By the property of similar triangles, corresponding sides of the similar triangles will be proportional.

[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]

[tex]\frac{54}{h}=\frac{24}{9}[/tex]

h = [tex]\frac{54\times 9}{24}[/tex]

h = 20.25 m

Therefore, height of the tree is 20.25 m.

Which of the following has the greatest magnitude?

70
|-781
1701
-70
18

Answers

B absolute value of -78.
Just pick the largest value regardless of sign

“The key factor to this process is identifying the trait you want and then only allowing species that have that trait to breed with one another.” Which of the following BEST matches the statement above?

Answers

Answer:

sorry dont know

Step-by-step explanation:

Find the difference. *
-3 - (-9)

Answers

Answer:

-3 - (-9)

As we have '-' sign outside bracket, the sign inside the brackert will become opposite, thus we will have,

⇒ -3+9

6

-3 - (-9) change the signs -3+9 then calculate which gives your answer 6

What is 3y - 2x = 9 in slope intercept form?

Answers

Answer:

Step-by-step explanation:

IN slope intercept form

3y = 2x + 9

y = ( 2x + 9)/3

y = 2/3 x + 3

Answer:

[tex] \huge \boxed{ \boxed{ \mathfrak{y = \frac{2}{3} x + 3}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:linear equationPEMDAStips and formulas:slope-intercept form:y=mx+blet's solve:[tex] \sf add \: 2x \: to \: both \: sides : \\ \tt 3y - 2y + 2x = 2x + 9 \\ \tt 3y = 2x + 9[/tex][tex] \sf divide \: both \: sides \: by : \\ \tt \: y = \frac{2x}{3} + \frac{9}{3} \\ \tt \therefore y = \frac{2}{3} x + 3[/tex]

What is the value of the expression below?

(16^2)^1/4

A. 4
B. 8
C. 16
D. 2.

Answers

4444444444444444444 4444444

Answer:

4

Step-by-step explanation:

A P E X:L E A R N I N G

Which point represents the unit rate?

A
B
C
D

Answers

Answer:

d

Step-by-step explanation:

Which pair of terms are NOT like terms?

A) 2mn and mn^2

B) 3p^2q and -p^2q

C) -x and 3x

D) 1 and -1

Answers

Answer:

A) 2mn and mn^2

that's my final answer

A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the cone part of the prop? Round your answer to the nearest tenth of a cubic inch.
(note: use 3.14 to approximate pi)

A. 378 in³

B. 1,134 in³

C. 1,187 in³

D. 3,561 in³​

Answers

Answer:

V≈296.88

Step-by-step explanation:

V=πr2h

3=π·4.52·14

3≈296.88051

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6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?

Answers

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

PLEASE NEED HELP ASAP​

Answers

Answer:

Trapezoid

Step-by-step explanation:

They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.

That means it's at least a trapezoid.

As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).

It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.

As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).

Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).

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