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ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36

Answers

Answer 1

Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

Properties of Similar Triangles:

The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.

Given that ΔABC and ΔDEF are similar triangles, therefore:

Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18

Thus:

a/x = b/y = c/z

Substitute

6/x = 8/y = 12/18

Find x using 6/x = 12/18:

6/x = 12/18

Cross multiply

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

x = 9

Find x using 8/y = 12/18:

8/y = 12/18

Cross multiply

x = [tex]\frac{18 \times 8}{12}[/tex]

x = 12

Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12

Learn more about similar triangles on:

https://brainly.com/question/11899908


Related Questions

Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit

Answers

Answer:

8:16 and 9:18

Step-by-step explanation:

When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.

An item is regularly priced at $27. It is on sale for 35% off the regular price. What would be the sale price?​

Answers

Answer:

$17.55

Step-by-step explanation:

Answer:

17.55

Step-by-step explanation:

You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars

Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could

Answers

Answer:

(x, y) = (-2, -6)

Step-by-step explanation:

Learn more at https://brainly.com/question/15168004

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

If (x) - 3x2 - 2x* 4 and g(x) = 5x2 - 6x - 8, find (f + 9) (4),
A. (14 g)(x) = 2x2 - 8x+12
B. (I* (*) - 2x2 4 84 - 12
C. (1 + 9)(x) = 8x2 + 4x - 4
D. (1+ g)(x) = 8x2 + 8x + 12

Answers

Answer:

C

Step-by-step explanation:

3x^2+5x^2-2x+6x+4-8

8x^2+4x-4

Find the measure of angle x in the figure

Answers

Step-by-step explanation:

apply angle sum property of triangle in ∆BCA

now,

x + x + 110° = 180

2x = 180 - 110 = 70

x = 70/2 = 35

x = 35°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin

Answers

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Three heads.Event B: Fair coin.

The probability associated with 3 heads are:

[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).

Hence:

[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]

The probability of 3 heads and the fair coin is:

[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at https://brainly.com/question/14398287

(03.01)
Is the following relation a function? (1 point)
O Yes
O No

Answers

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

Gabi owns one parcel measuring one square mile and another parcel measuring one mile x half a mile. She combined the parcels and sold them for $2.5 million. What price per acre did she receive for the land

Answers

We want to get the price per acre that she receives for the land, we will get that the price per acre is $2,777.8

First, we need to find the total area of the land.

There are two parcels, one with an area of 1 mi^2, and the other with dimensions of one-mile x half a mile, then the area of the other parcel is:

A' = (1 mi)*(0.5 mi) = 0.5 mi^2

The total area is the sum of these two, we get:

1 mi^2 + 0.5 mi^2 = 1.5 mi^2

And notice that we want to get the price per acre, knowing that:

1 mi^2 = 640 acres, then:

1.5 mi^2 = 1.5*(640 acres) = 900 acres.

The price per acre is equal to the quotient between the total price for the area and the number of acres, this gives:

P = ($2,500,000)/(900 acres)  = $2,777.8

So each acre costs $2,777.8

If you want to learn more, you can read:

https://brainly.com/question/13738061

this is the very last question I swear :-)

Answers

Answer:

x= (p+10)/5

Step-by-step explanation:

first you take the peaches and add 10, p+10, and then divide by 5

Answer:

(p + 10)/5

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer: D (n> 8/ 3 )

x²+5x+6, x²+x-6 and x²-9 find hcf​

Answers

Answer:

[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]

In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?

Answers

Answer:

3

Step-by-step explanation:

since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones

suppose another tire is rolled 100 revolutions and travels about 5027 inches what is the radius of this tire NEED THIS ANSWERED

Answers

Answer:

8 in

Step-by-step explanation:

The radius of the tire is 8.00 inches

How to determine the radius?

The given parameters are:

Revolution, r = 100

Distance, d = 5027

Start by calculating the circumference of the tire using:

C = d/r

This gives

C = 5027/100

Evaluate

C = 50.27

The circumerence of a circle is:

C = 2pi r

This gives

2pi r = 50.27

Make r th subject

r = 50.27/2pi

Evaluate the quotient

r = 8.00

Hence, the radius of the tire is 8.00 inches

Read more about circumference at:

https://brainly.com/question/14283575

If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}​

Answers

Answer:

the answer is 5,746 = c

Step-by-step explanation:

When you divide fraction how do you find quotient.

Answers

Answer:

To divide two fractions, you must make one fraction the reciprocal. Then, multiply both numerators and both denominators.

EXAMPLE:

3/4 x 4/5

Take reciprocal for 4/5

3/4 x 5/4

Multiply numerators

3x5=15

Multiply denominators

4x4=16

ANSWER:

15/16

the equation of a function is y=25- 3x find the value of x when y=34

Answers

y=25-3x
34=25-3x
3x=25-24
3x=1
X=1/3
-3

Help plzz
How does robby respond to keith confessing his fear of chickens

Answers

The way that Robby responds to Keith confessing his fear of Chickens is;  by sharing that makes robby uneasy.

What is the message in the text?

From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.

Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.

Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.

Read more about message in text at; https://brainly.com/question/25904079

I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.

Answers

Answer:

21

Step-by-step explanation:

21 plus 3 equals 24 divided by 2 equals 12

there is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new sale price is $2.49. what is the percentage of decrease on the gallon of milk?round the anwser to the nearest whole percent



pls help

Answers

17 percent because the answer is 16.72 percent but when you round it up you get 17.

Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?

Answers

Answer:

17 feet tall

Step-by-step explanation:

0.17 x 100 is 17

Subtract 6 1/3 - 2 1/5

Answers

Answer:

4 2/15

Step-by-step explanation:

Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.

HELP ASAP ILL GIVE BRAINLIST




Solve for the measure of ∠PMR. Show your work and explain how you got your answer.

Answers

Answer:

  61°

Step-by-step explanation:

We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.

  ∠PMR = 90° -29° = 61°

4x2 + 5x - 3x2 + 2y - 3x + 2y?

Answers

Answer is 2+2x+4y
Have a great day/night

Answer:

2+2=5

Step-by-step explanation:

Select the ordered pair that is a solution to the equation represented by the graph.

Answers

Answer:

c

Step-by-step explanation:

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!

a.2x
b.2x+2
c.x^2
d.2x^2

Answers

Answer:

B 2x+2 I don't know whether is correct or not

Help me out I need it

Answers

Answer:

27 Chairs (See below)

Step-by-step explanation:

A: You will put 9 chairs in each row, and have 3 rows.

For a visual example I will use the symbol "O" for the number of chairs.

OOOOOOOOO

OOOOOOOOO

OOOOOOOOO

B: The multiplication problem, using the information 3 Rows, and 9 Chairs in each row, is 9x3

C: The factors are the numbers you are multiplying with, and the product, is your outcome when you multiply the two factors, 9, and 3.

So your answer is 27.

Hope this helps!

How to divide polynomials by long division.

Answers

Answer:

To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...

Step-by-step explanation:

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