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
Neporo4naja [7]
3 years ago
14

A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,

6x - 7. If the perimeters of the two triangles are equal, what is x?
Mathematics
1 answer:
Leto [7]3 years ago
6 0

Since we know that the perimeters are equal, we can make an equation where the sum of the side lengths of one triangle equal the sum of the side lengths of the other triangle. This yields (x-2)+(x)+(3x+1)=(2x-5)+(x+4)+(6x-7). If we combine like turns, the equation becomes 5x-1=9x-8. We can use the subtraction property of equality to isolate the x and the integers by saying 9x-5x=-1-(-8). Simplifying this gives 4x=7 or x=1.75

Hope this helps.

You might be interested in
Does someone know the answer of (-9+v)/8=3
vredina [299]

Hi

(-9+V) /8 = 3

-9/8 +V/8 = 24/8

 -9+V = 24

  V = 24+9

  V = 33

let's check :   -9+33 = 24    and 24/8 = 3

3 0
4 years ago
Simplify expression (7+x)+7x
yaroslaw [1]
(7+x) + 7x = 8x + 7
5 0
4 years ago
Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=
Nezavi [6.7K]

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

6 0
3 years ago
Estimate a 15% tip on a taxi ride that cost $23.25
Anettt [7]
So basically, we are looking for the amount of tip that the rider gave the driver if the driver paid a total of 23.25 dollars. So in order to get the tip, we just have to multiply the total cost of the taxi, which is 23.25, to the percentage of the tip which is 15%. So in order to get the final answer, we have to express the formula as this. 23.25 x 0.15. So if we would solve this equation, we will get an answer of 3.4875. So the tip that was given was 3.4875
7 0
3 years ago
Read 2 more answers
This one is a doozy for me, need help please
Maksim231197 [3]

Answer:

The correct answer is B

Step-by-step explanation:

Kinda complicated to explain, if you need me to then comment and I'll do it

4 0
2 years ago
Read 2 more answers
Other questions:
  • A beverage is made by mixing 3 parts of water with 5 parts of fruit juice. How many parts of water are mixed with 1 part of frui
    10·1 answer
  • I need help with algebra
    15·1 answer
  • (-26) + (+6) - (-67)
    15·1 answer
  • Assume a significance level of
    10·1 answer
  • Help me fill this out thanks
    11·2 answers
  • At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total
    15·1 answer
  • PLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZ HELP ASAP 10 POINTSSSSS > < and plz do both if u know them! <3 <3
    12·2 answers
  • Kayla drove 13 miles in 20 minutes. What's her average rate in miles per hour
    5·1 answer
  • A triangle has sides with lengths of 2 centimeters, 4 centimeters, and 5 centimeters. Is it a right triangle?
    11·2 answers
  • Express your answer in form a+bi (14+60i)+(-30+2i)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!