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
Alex73 [517]
3 years ago
14

The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each

side, if the triangle has a perimeter of 28 inches?
Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0

Answer:

the length of the first side of the triangle is \frac{28}{3}\ in

the length of the second side of the triangle is \frac{37}{3}\ in

the length of the third side of the triangle is \frac{19}{3}\ in

Step-by-step explanation:

Let

x-----> the length of the first side of a triangle

y----> the length of the second side of a triangle

z---> the length of the third side of a triangle

we know that

x=y-3

y=x+3 -----> equation A

x=z+3

z=x-3  -----> equation B

The perimeter of the triangle is equal to

P=x+y+z

P=28\ in

so

28=x+y+z -----> equation C

substitute equation A and equation B in equation C

28=x+(x+3)+(x-3)

solve for x

28=3x

x=\frac{28}{3}\ in

Find the value of each side

the first side of a triangle is x

x=\frac{28}{3}\ in

the second side of a triangle is y

y=\frac{28}{3}+3=\frac{37}{3}\ in

the third side of a triangle is z

z=\frac{28}{3}-3=\frac{19}{3}\ in

You might be interested in
If the answer to the square root is 5, then what is the number that gets you 5
tensa zangetsu [6.8K]
\sqrt x=5\\
x=25

4 0
3 years ago
Help please due in 30 minutes
I am Lyosha [343]

Answer:

the last one

Step-by-step explanation:

uv

6 0
3 years ago
If k is non zero digit for which base of k is the sum, 1+kk=100 true?
Anna007 [38]
No, i don't think it's true
4 0
3 years ago
Given f(x) = 3x + 4. Find F-1(7)<br><br> Please help I’ll give you brainiest answer 100points!!!!!
Musya8 [376]

Answer:

f⁻¹(7) = 1

Step-by-step explanation:

Step 1: Write out function

f(x) = 3x + 4

Step 2: Find f⁻¹(x) (or known as inverse f(x))

y = 3x + 4

x = 3y + 4

-3y + x = 4

-3y = 4 - x

y = -4/3 + x/3

Step 3: Plug in 7 into inverse f(x)

f⁻¹(7) = 7/3 - 4/3

f⁻¹(7) = 3/3

f⁻¹(7) = 1

6 0
3 years ago
Sally has saved 41 quarters from washing cars. How many cents does Sally have ?
choli [55]

Answer:

Sally has $10.25 or 1,025 pennies

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .
    7·2 answers
  • Round 8.293 to the place named hundredths
    15·2 answers
  • Would really appreciate it if someone could help!! Have been stuck on the question alll day !
    15·1 answer
  • In “modeling with linear equations” how do i solve<br><br> -11-8x=-3x+19
    14·1 answer
  • A shipping crate has the dimensions shown in the figure below.
    8·2 answers
  • What is the average rate of change from week 2 to week 4?
    14·1 answer
  • Guys Please help<br> This is math
    6·2 answers
  • Solve for x in the triangle. round your answer to the nearest tenth
    7·1 answer
  • Rubi charges each family that she babysits a flat fee of $20 for the night
    13·1 answer
  • In your Own words explain what in algebra the deffintion of
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!