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
guajiro [1.7K]
3 years ago
8

The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 i

nches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0
The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides

a.
2x+3x-5+4x+2=63 is an equation

b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9


2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in
You might be interested in
The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the
Mrrafil [7]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7
8 0
3 years ago
Your bank account hos a bolance of -$17. You deposit $70. What is your new balance? Show work:​
Norma-Jean [14]

Answer:

53

Step-by-step explanation:

70-17= 53

3 0
3 years ago
Read 2 more answers
What is the mixed number for 51/9
Setler79 [48]

5 2/3 is the answer to your question
6 0
4 years ago
Read 2 more answers
Find the angle theta in radians.<br> ( PLEASE SHOW STEPS )
yKpoI14uk [10]
Hello!

As you can see, we have a radius of 6. If we divide, this means that this is 2.5 radians. To convert radians to degrees we use the formula below.

\frac{180}{ \pi }x

First of all we divide 180 by pi.

180/\pi≈57.3

Now we multiply by 2.5

57.3(2.5)=143.25°

Note that the angle we see is obtuse, or greater than 90°.

Therefore, ∠<span>θ</span>≈143.25°

Now we need to convert this back into radians. This can be represented by the equation below.

\frac{ \pi }{180}x

First we divide pi by 180 then multiply by our angle.

\pi/180(143.25)≈2.5

Therefore, our angle theta is about 2.5 radians.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Determine the slope and y-intercept of each graph. Then, write the equation of the graph in slope-intercept form. please help ​
olchik [2.2K]

Answer:

slope = 2

y intercept = ( 0 , -1 )

equation:

y = 2x - 1

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Whats the cubed root 64/343
    8·2 answers
  • 1. twice the square of the sum of a number and 3 is 98.find the number​
    13·1 answer
  • 120% of what number is 84?
    5·2 answers
  • write a story problem that can be solved by finding the difference of 432,906 61,87 then solve the problem
    6·1 answer
  • A truck costs 80,000. it depreviates in value 6,000 per year
    5·1 answer
  • Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years.
    6·1 answer
  • Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organ
    13·1 answer
  • The graph below shows the distance in miles, m, hiked from a camp in h hours.
    14·2 answers
  • Can you help me(×+5) (4x-3)=0
    10·1 answer
  • 1+1? Will give brainliest to first correct answer.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!