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
Svetach [21]
3 years ago
12

The second side of a triangular deck is 5 feet longer than the shortest​ side, and the third side is 5 feet shorter than twice t

he length of the shortest side. If the perimeter of the deck is 72 ​feet, what are the lengths of the three​ sides?
Mathematics
1 answer:
viva [34]3 years ago
5 0

Answer: the length if the three sides are 31 feet, 23 feet and 18 feet.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Let y represent the length of the second side of the triangle.

Let z represent the length of the third side of the triangle.

The second side of a triangular deck is 5 feet longer than the shortest​ side. This means that

y = x + 5

The third side is 5 feet shorter than twice the length of the shortest side. This means that

z = 2x - 5

If the perimeter of the deck is 72 ​feet, it means that

x + x + 5 + 2x - 5 = 72

4x = 72

x = 72/4 = 18

z = 2x - 5 = 2 × 18 - 5

z = 36 - 5

z = 31

y = x + 5 = 18 + 5

y = 23

You might be interested in
Anyone? please help me I’m absolutely lost on this one here :,)
olya-2409 [2.1K]

Answer:

B

Step-by-step explanation:

The formula for area of a square is length x width. The x represents the width and the 7x is just the width times 7. this means the length is 7 times the width, If the width is x, then the length is 7x

8 0
2 years ago
Read 2 more answers
Slope=-3 goes through (1,2) whats the equation
dedylja [7]

Hi student, let me help you out! :)

..............................................................................................................................................

We are asked to find the equation of the line, using the given information:

\star~\mathrm{-3}, which is the slope

\star~\mathrm{(1,2)} which is a point that the line contains

\triangle~\fbox{\bf{KEY:}}

  • The slope is the number before x, in the form \mathtt{y=mx+b}.

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

\dag~\mathtt{y=-3x+b}

|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

\dag~\mathtt{2=-3x+b}

Also, its x-coordinate is 1, so we substitute 1 for x:

\dag~\mathtt{2=-3(1)+b}

Now, solve for b:

\dag~\mathtt{2=-3+b}

Add 3 to both sides:

\dag~\mathtt{2+3=b}

Thus, we have

\dag~\mathtt{5=b}

Thus, the equation of the line is:

\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~}}

3 0
2 years ago
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is pai
Sergeeva-Olga [200]

Answer:

4 months

Step-by-step explanation:

if she paid the 15 already subtract it from the 155. Once you that you get 140 and if you break that inton groups of 35 *division* than you get 4. As in 4 months

7 0
3 years ago
Read 2 more answers
Which pair of ratios makes a proportion?
Nana76 [90]

Answer:

  • D. 1/4 and 9/36

Step-by-step explanation:

If two ratios make a proportion then it can be shown as:

  • a/b = c/d ⇒ ad = bc

Let's verify the answer choices with this method

A. 1/4 and 5/25

  • 1*25 = 4*5
  • 25 = 20, incorrect, not a proportion

B. 1/4 and 7/24

  • 1*24 = 4*7
  • 24 = 28, incorrect, not a proportion

C. 1/4 and 10/48

  • 1*48 = 4*10
  • 48 = 40, incorrect, not a proportion

D. 1/4 and 9/36

  • 1*36 = 4*9
  • 36 = 36, correct, this is a proportion
6 0
2 years ago
What is the value of the function at x=−2?
adell [148]

x = -2

function value at x = -2 is intersection of the x value and graph

which is, 3

Hope it is clear:)

5 0
3 years ago
Other questions:
  • Find the GCF. 12, 18, and 84
    9·2 answers
  • Add the two expressions. −4.2x+3 and 2.5x−6 Enter your answer in the box.
    9·2 answers
  • Jessie has a piece of wood that is 8 feet long. he needs to cut pieces that are 7/8 of a foot long. how many pieces will he b ab
    10·2 answers
  • A triangle had sides of lengths 27, 79, and 84. Is it a right Triangle?
    15·1 answer
  • How many 6 1/4 inches pieces of fabric can be cut from a 75 inch roll
    9·2 answers
  • What is the midpoint of the segment below?
    6·2 answers
  • What is the range of function g if g(x) = f(x) + 3
    8·1 answer
  • 3(5y + 1) = 18y<br><br> Step by step (show work)<br> Right answers
    5·2 answers
  • Help!!! I don’t know what to do
    11·1 answer
  • Find the rate of change in the following table and choose the correct answer.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!