What is the length of CD? In this diagram,
ABC ~ EDC.

What Is The Length Of CD? In This Diagram, ABC ~ EDC.

Answers

Answer 1

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

[tex]\frac{12-x}{18} =\frac{x}{6}[/tex]

Cross multiply:

[tex]6(12-x) = 18x[/tex]

Distribute the '6':

[tex]72-6x = 18x[/tex]

Combine like terms and simplify:

[tex]72 = 24x[/tex]

[tex]x = 3[/tex]

Therefore, the length of CD is 3.


Related Questions

At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?

Answers

Answer:

There are 8 number of hairy dogs.

Step-by-step explanation:

It is given that:

Number of small dogs (Let it be [tex]n(A)[/tex]) = 9

To find:

Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?

Also given the following things:

Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15

Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2

We can use the following formula:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.

Putting the values in above formula:

[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]

Hence, the number of hairy dogs are 8.

I need help with this question

Answers

Answer:

you can solve like this i think it is correct but i am not sure

A moving truck company charges a flat fee of $75 to rent the truck, plus $15 per day. 1:What is the total cost (flat fee and daily charge) to use the truck for one day? 2:What is the total cost for x days? C:Graph the cost of the truck rental over a period of 14 days, using days as the units of time. Be sure to label your axes and scale them by labeling each gridline with a number.

Answers

Answer:

Step-by-step explanation:

you add 75 to 14 then x that buy 5 then divide by 2

=35x+

75/2

Answer:

see below

Step-by-step explanation:

y = 75+ 15x  where x is the number of days and y is the cost

Let x = 1

y = 75+15(1)

y = 90 for one day

for x days

y = 75+15x

Find the measurement of the angle in the given picture

Answers

There is no picture.....

Can someone help me with this please

Answers

Answer: Bladder

Step-by-step explanation:

The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.

Can somebody please help me with c? Thanks.

Answers

Answer:

1300

Step-by-step explanation:

2600 x 0.5= 1300

what is 4 times 4 divided by twenty eight then multiplied by five

Answers

Answer:

2 6/7

Step-by-step explanation:

4 x 4 = 16

16/28 = 4/7

4/7 x 5 = 20/7

2 6/7

I'm always happy to help :)

What this question?????????

Answers

Answer:

A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]

Step-by-step explanation:

[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]

21 ÷ 7 = 3

28 ÷ 7 = 4

Please answer this math question !! Thank u !! Will give brainliest !!

Answers

Answer:

Sharon has 18 cards and Brendan has 13

Step-by-step explanation:

you do 31-5=26

26/2=13 these are both of their cards

u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan

can i have brainliest

Solve the system of equations please:
y=(x^2)+3x-6
y=x+2

Answers

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

When a grizzly bear hibernates it's heart rate drops to 10 bpm which is 20% of its normal value what is a grizzly bear is normal heart rate when not hibernating

Answers

Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]


A hair stylist can work for 9 hours
a day. A hair color takes 1 hours
and a haircut takes 20 minutes. If
the stylist schedules 3 hair colors
each day, which inequality
represents the number of haircuts,
c, that he can do?
A.)20c + 3(1.5) < 9
B.)c ≥
C.)20c ≤ 4.5
D.)c + ≤ 9

Answers

Answer:

I believe its A

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

39,8

Step-by-step explanation:

the H represents 39,8

Please help, having trouble with geometry word problems. Tysm if you do :)

Answers

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Which graph represents a proportional relationship? On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a curved line curves at (0, 0). On a coordinate plane, a line crosses the y-axis at (0, 0).

Answers

Answer: On a coordinate plane, a line crosses the y-axis at (0,0)

Step-by-step explanation:

A proportional relationship has the form:

y = k*x

where k is the constant of proportionality.

only from looking at this we can conclude:

This is a linear equation.

The slope is k.

The y-intercept is equal to zero.

For example, if we have x = 0 then:

y = k*0 = 0

then this line passes through the point (0,0)

then the correct option is:

"On a coordinate plane, a line crosses the y-axis at (0,0)"

Answer:

D

Step-by-step explanation:

Find the measure of each angle indicated.

Answers

Answer:

53

Step-by-step explanation:

Left triangle: Missing angle 40. 80+60=140, 180-140=40.

40+49=89

180-89=91

91+36=127

180-127=53

Answer:

? = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

The measure of the third angle of the triangle on the left is

third angle = 180° - (60 + 80)° = 180° - 140° = 40°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

40° + 49° = 89° is an external angle of the triangle on the right, thus

? + 36 = 89 ( subtract 36 from both sides )

? = 53°

Express the form 1:n
Give n as a decimal

20 : 4

Answers

Answer:

1 : 0.2 is the answer I think

Write the word sentence as an inequality. A number b is at least -3.

Answers

Answer:

b>=3

Step-by-step explanation:

What is the leading coefficient of the polynomial?

3x2 + 5x3 − 4x4 − 7x

Answers

Answer:

-4

Step-by-step explanation:

Rearranging the terms of this polynomial in descending order by powers of x, we get 3x2 + 5x3 − 4x4 − 7x => -4x^4 + 5x^3 + 3x^2 - 7x.

-4x^4 is the leading power of x, and -4 is the "leading coefficient" of the polynomial.

PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the middle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. What theorem can Abdul use to determine the two triangles are similar?

Answers

Answer:

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

Is the relation {(1, 3), (–4, 0), (3, 1), (0, 4), (2, 3)} a function? Why or why not? Yes, the range value 3 corresponds to two domain values, 1 and 2. No, the range value 3 corresponds to two domain values, 1 and 2. No, there is no value in the domain that corresponds to more than one value of the range. Yes, there is no value in the domain that corresponds to more than one value of the range.

Answers

Answer:

The answer is D.

Step-by-step explanation:

The relation is indeed a function because of the reason as described by choice D.

A function is relation that maps a set of elements known as inputs to another set of elements known as the outputs, such that each input element is mapped to exactly one output element

The relationship between the given values is a function and, the correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

The reasons the selected option are correct is as follows:

The given ordered pair are presented in a tabular form as follows:

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right][/tex]

In a function, each value in the domain corresponds with one element in the range. Therefore, if two elements in the domain corresponds to one element in the range, the relationship is not a function

Therefore;

[tex]\begin{array}{|c|cc|}\mathbf{ x}&&\mathbf{y}\\1&&1\\1&&2\\1&&3\\1&&4\\1&&5\end{array}\right] \ Is \ not \ a \ function[/tex]

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right] \ Is \ a \ function[/tex]

In the table above, each element in the domain appear only once, and therefore, each element in the domain correspond or gives only one value in the range, while the element 3 in the range corresponds to 1, and 2 in the domain. However, the range are the output values of the function, and therefore, the data satisfies the relationship of a function

The correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

Learn more about functions here:

https://brainly.com/question/6052900

Multiply Mentally: 4.527 • 10(2)

Answers

Answer:

452.7

Step-by-step explanation:

Answer:

452.7

Step-by-step explanation:

hope this helps

<3

Patty made a banner that has an area of 96 square inches. The length and width of the banner are whole numbers. The length is 6 times greater than the width. What are the dimensions of the​ banner?

Answers

Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = [tex]6W^2[/tex]

The are of the banner is 96 square inches. This implies that:

[tex]6W^2[/tex] = 96

=> [tex]W^2[/tex] = 96 / 6 = 16

W = [tex]\sqrt{16}[/tex]

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

w^2(x+8)+z(x+8)=( )(x+8) find the missing factor PLEASE!

Answers

Answer:

w^2(x+8)+z(x+8)= (w^2+z)(x+8)

Step-by-step explanation:

This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.

solve 5kx+6=7kx for x

Answers

Answer:

7kx-5kx=6

2kx=6

x=3/k

Step-by-step explanation:

ur welcome my guy

Answer:

The answer is 3/k .

Step-by-step explanation:

First you have to move all the related terms to one side :

[tex]5kx + 6 = 7kx[/tex]

[tex]6 = 7kx - 5kx[/tex]

[tex]2kx = 6[/tex]

Next, you have to solve it :

[tex]x = 6 \div 2k[/tex]

[tex]x = 3 \div k[/tex]

[tex]x = \frac{3}{k} [/tex]

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards, what is the perimeter?

Answers

Answer: 90 yards

Step-by-step explanation: Let me know if you need an explanation.

Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right

I need help. Find the surface area.

Answers

Answer:

253.5π

Step-by-step explanation:

Surface area of cylinder: 2πrh+2πr^2

Height: 13, Radius: 6.5

A = 2π6.5(13)+2π6.5^2

A = 169π + 84.5π

A = 253.5π

Solve [4x +2] =6
Select one:
O a. 1
b. 2
O c. 1 or -2
O d. -1 or 2​

Answers

Answer:

x=1

Step-by-step explanation:

Steps:

1: Step 1: Subtract 2 from both sides.

4x+2−2=6−2

4x=4

2: Step 2: Divide both sides by 4.

4x4=44x=1

Answer: x=1

Hope this helps.

Answer:

1

Step-by-step explanation:

Given expression:

4x+2=6

Bringing 2 to the other side, it becomes negative..

4x=6-2 = 4

4x=4

again 4 brought to rhs n divided..

x=4/4

x= 1

So the correct option is (a)

The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%

Answers

Answer:

B, D, and E

Step-by-step explanation:

please help !
1) The product of two rational is always a .....................................
2) The reciprocal of a positive rational number is ............................................
if u say the answer then i will rate u excellent

Answers

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

。☆✼★ ━━━━━━━━━━━━━━  ☾  

1) A rational number.

If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.

2) A positive rational number

Let's look at an example

3/4

The reciprocal would be 4/3.

If it is already a positive rational number, turning it upside down wouldn't affect the status of it.

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