If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





If Triangle ABC~ Triangle DEC, Find The Value Of X And The Scale Factor From DEC To ABC

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4


Related Questions

find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth

Answers

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

Factor the Polynomial
5x2 + 45x

Answers

i’m gonna assume it’s 5x(2)+45x
10x+45x=55x

Answer:

55x

Step-by-step explanation:

5x*2+45x=

10x + 45x= 55x

The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for ​ and round your answer to the nearest hundredth.

Answers

Answer:

I think 8

Step-by-step explanation:

what is 1,000,10023 + 2,733,493,873,663+ 999999999+199999287- 124,345,880,6

Answers

Answer:

2733550424166

Step-by-step explanation:

can I get brainliest

I need help with my math homework

Answers

0.40 or 40%

Explanation:

If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)

Answers

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

To know more about dilation follow

https://brainly.com/question/3457976

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Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain

Answers

Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

Someone help me ASAP !

Answers

Answer:

31

Step-by-step explanation:

Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%​

Answers

Answer:

7%

Step-by-step explanation:

write a linear function that shows the linear relationship in the table below.

Answers

Answer:

y=1/2x+7

Step-by-step explanation:

First find the slope of the function

Use slope formula:

10-9/6-4 =1/2

M= 1/2x

Find y-intercept:

9=1/2(4)+b

B=7

The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams

Answers

Answer:

HELP ME!?

Step-by-step explanation:

The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^2 h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]

You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!​

Answers

(-6,5) That is where you started
(0,5) because you moved into the negative meaning that you started at (0,5) then moved -3 left therefore ending up at (-3,5)

ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.

Answers

Answer:

6-8-10

9-12-15

5-12-13

Step-by-step explanation:

We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.

If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles

The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have:

Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.

There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.

On applying Pythagoras theorem.

6² + 8² = 10²

9² + 12² = 15²

Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

Learn more about the right-angle triangle here:

brainly.com/question/3770177


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help me asap brainliest for correct answer

Answers

I’m pretty sure it’s the 3rd one

Find x, y, and z in the figure.

Answers

Answer:

Since x + y + z = 180° and z = 90°, y + z = 90°

Thus x + y = z  

Step-by-step explanation:

PLEASE HELP, ILL MARK BRAINLIEST

""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth ​

Answers

9514 1404 393

Answer:

  a) A = 73°, C = 59°, a = 16.7

  b) A = 11°, C = 121°, a = 3.3

Step-by-step explanation:

The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.

The given angle is opposite the shorter of the two given sides, so there are two possible solutions.

Acute triangle solution

The Law of Sines gives the relation ...

  sin(C)/c = sin(B)/b

  sin(C) = (c/b)sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°

Then angle A is 132° -59° = 73°, and side 'a' is ...

  a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7

__

Obtuse triangle solution

The other value of arcsin(15/13·sin(48°)) is used:

  C ≈ 121°   ⇒   A = 11°

  a = 13·sin(11°)/sin(48°) ≈ 3.3

__

The two solutions are ...

  A = 73°, C = 59°, a = 16.7

  A = 11°, C = 121°, a = 3.3

We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.

_____

Additional comment

In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.

Which equation represents a line which is parallel to x=0?
y=5
x=4
x=1/4y
x=−4y​

Answers

Answer:Answer is A

Step-by-step explanation:

Correct option is

A

6x+2y=15

Given line is   y=−3x+4

This is slope intercept form of a line where slope of line is  −3.

Since, two lines are parallel When their slopes are equal.

Slope of line is 6x+2y=15

⇒2y=−6x+15

⇒y=−3x+

2

15

 is equal to −3

Option A is correct.

What will happen to a number, if it was added to its inverse?

Answers

Answer:

The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .

Step-by-step explanation:

Answer:

Zero

Step-by-step explananation:

An inverse is the opposite of another number, so if you add them together it would equal zero.

Here are a few examples.

5+-5=0

9+-9=0

150+-150=0

-220+220=0

-476+476=0

The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.

Hope I explained well:)

Plz Conrad's 3/4 times 4/8 plz

Answers

Answer:

The answer is 3/8.

Hope this helped!!

Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?

pls answer this lol

Answers

Answer:

[tex]\huge\boxed{\$\ 6}[/tex]

Step-by-step explanation:

Price = $130.42

Sales tax = 4.9% of 130.42

Tax as amount:

= 4.9 / 100 * 130.42

= 0.049 * 130.42

= 6.3

$6

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Juan wants to buy a doll house that is 45% off. The original price is
$74.85.
What is amount of discount (nearest hundredth)?

Answer this quick pls!! :,)

Answers

Answer:

well if you would divide 74.85 by 45% you would  33.6825.

and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)

Answer:

$33

Step-by-step explanation:

Given :

45%

$74.85

45% of 74.85 is

Answer = $33

PLEASE HELP!! Due today!!

Answers

Answer:

Amira,  we can tell by looking at the two graphs

Step-by-step explanation:

the blue graph goes through  (1,1) while the red graph goes thur  (1,3)  so because  the y component grows by 3 we know K = 3  

:)

Help please it’s due soon

Answers

Answer:

y = 12,58 units

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8

Answers

Step-by-step explanation:

- 2x-2y=-6

3x+4y=8

multiply equation (1) by 3 and equation (2) by 2

- 6x-6y=18

6x+8y=16

Add

2y=34

y= 34÷2

y=17

substitute 17 for y in equation (2)

3x+4y=8

3x+4(17)=8

3x+68=8

3x=8-68

3x=-60

x=-60÷3

x=-20

x=-20,y=17

Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answers

What’s the question?

Step-by-step explanation:

?

A set of data points has a line of best fit of y= -0.2x + 1.7. What is the residual for the point (5, 1)?

Α. 1.5

Β. Ο.7

C. 0.3

D. -0.3

Answers

The answer is B: 0.7

Substitute x in the equation for the x in the given coordinate, 5

-0.2 times 5 is -1

Then add 1.7 to -1 and you get 0.7

Answer:       0.3

Step-by-step explanation:        I took the test

ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14

Answers

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?

Answers

It is because u can only do pathagreom therom on right triangles.

2*2 + 2.1*2.1

4+4.41=8.41

square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

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