1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Digiron [165]
2 years ago
15

the ratio of one side of abc to the corresponding side of similar def is 5:8. if the perimeter of def is 96 inches, what is the

perimeter of abc?
Mathematics
1 answer:
vivado [14]2 years ago
6 0

Answer:

Perimeter of abc is 60 inches.

Step-by-step explanation:

The ratio of one side of triangle abc to the corresponding side of similar triangle def is 5:8.

Now we are given that the perimeter of def is 96 inches.

since the perimeter is the sum of all the sides of a triangle.

<em>" If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b" .</em>

Here we have a=5 and b=8.

Hence by the above statement we could say that:

Let Perimeter of abc be denoted by "P"

Perimeter of abc : Perimeter of def=5:8

⇒  \dfrac{P}{96}=\dfrac{5}{8}\\\\P=\dfrac{5\times96}{8}\\\\P=60

Hence the Perimeter of abc is 60 inches.

You might be interested in
Please explain the answer​
Phantasy [73]

Answer:

  yes

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.

  7.5² +10² = 12.5²

  56.25 +100 = 156.25

_____

You may recognize that the ratios of side lengths are ...

  7.5 : 10 : 12.5 = 3 : 4 : 5

A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.

_____

If you're familiar with trigonometry, you know the law of cosines tells you ...

  c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.

7 0
3 years ago
Please help me find the perimeter!!
uranmaximum [27]

Answer:

119 and 8/14 I think.

Step-by-step explanation:

8 0
3 years ago
Explain how to simplify radical expressions without variables
vampirchik [111]
U just gotta do it you know
3 0
3 years ago
Read 2 more answers
From a board 8 feet in length, emmet cut two 2 1/3 foot bookshelves. how much of the board remained?
quester [9]
Two 2 1/3 + 2 1/3 = 4 2/3

8/1 - 4 2/3 =

14/3 - 8/1 = 6/2
8 0
3 years ago
Three pounds of fish food costs $14.97 at the market. What is the unit price
ruslelena [56]

Answer: $4.99

Step-by-step explanation:

14.97 ÷ 3; this will tell you the unit price of each individual fish.

The answer is $4.99.

***If you found my answer helpful, please give me the brainliest. :) ***

6 0
3 years ago
Other questions:
  • Why do we divide by 4
    5·1 answer
  • When the product of 4 and 4 is divided by the sum of 4 and 4, what is the quotient?
    9·1 answer
  • What is the value of min the 5/6m=15
    10·2 answers
  • 1/3 divided by 6/9? Please help!!
    8·1 answer
  • What is the value of the angle marked with x?
    14·2 answers
  • Suppose the leftmost digits of two numbers are 8 and 3. Can you tell which number is greater ?
    7·1 answer
  • I need the answers for 21 and 23 please<br> :(
    12·1 answer
  • Find the value of x that will make L parallel to m
    12·2 answers
  • 1) Solve: – 4x – 11 = 7<br> Pls help
    13·1 answer
  • Write the following in standard form: 8/-36​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!