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
Firdavs [7]
3 years ago
12

The perimeters of the square and the triangle shown below are equal. What is the value of x?

Mathematics
1 answer:
Rudiy273 years ago
8 0
Perimeter is the sum of all the sides. So we can set up an equation:

\sf 3x+1+3x+1+3x+1+3x+1=2x+8+x+8+4x+2

Now solve for 'x', combine like terms:

When it comes to terms with variables it's just like normal addition but we keep the variable:

\sf 3x+3x+3x+3x=12x
\sf 2x+x+4x=7x

So we have:

\sf 12x+1+1+1+1=7x+8+8+2

Add:

\sf 12x+4=7x+18

Subtract 7x to both sides:

\sf 5x+4=18

Subtract 4 to both sides:

\sf 5x=14

Divide 5 to both sides:

\boxed{\sf x=2.8}
You might be interested in
3. One of the graphs represents
faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+\frac{3x}{2}

Rewrite in slope-intercept form

y=\frac{3}{2} *-3

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and  b using the form y=mx+b

m=\frac{3}{2}

b=-3

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \frac{3}{2}

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding  y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

(1,-\frac{3}{2} )

Graph the line using the slope and the y-intercept, or the points.

slope:\frac{3}{2}

y-intercept:-3

5 0
3 years ago
Explain: How would you solve the equation? Place the steps below in the correct order.
nirvana33 [79]

use the distributive property

combine alike terms

add the negative number to the other side

combine alike terms

then divide on both sides to get the variable by itself

8 0
3 years ago
HELP HELP HELP
Law Incorporation [45]

Based on her results, if she flipped the coins another 50 times, she should expect to flip heads 20 times. If Jessica flips a coin 100 times and gets 40 times heads and the next time she flips a coin 50 times she should get 20 because, 100 divide 2 is 50 so you would have to divide 40 with 2 and get the answer of 20.

3 0
2 years ago
Reduce -8 + b2 by 5 + b2.<br><br> -3<br> 2b² - 3<br> -13
Eddi Din [679]
-8+b2-(5+b2). Since the - is outside the paranthesis the signs inside change: -8+b2-5-b2. -8-5=-3, b2-b2=0. Your answer: -3 :)
5 0
3 years ago
Read 2 more answers
What is the slope of the line x + 6y= 12
Lubov Fominskaja [6]

x + 6y = 12

You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.

6y = -x + 12

Next, you divide both sides by 6, so that the y-value will be by itself.

y = - \frac{1}{6} + 2

We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is - \frac{1}{6}

5 0
3 years ago
Other questions:
  • The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22
    5·1 answer
  • in 1975 there were 130,000 tennis courts in the united states this number increased by 69% from 1975 to 1985 find the number of
    5·1 answer
  • 12.1 x 3 and a half. <br> pls explain if possible
    11·1 answer
  • What is the range of the function in the given table?
    15·2 answers
  • In order for two lines to be parallel they must have the same
    5·1 answer
  • △LMN with L(-3, 6), M(-1,4), N(4,-2) translates to △L′M′N′. If M translates to M'(3,-1), what are the coordinates of L'?
    10·1 answer
  • Given that a x b = 70, work out the value of 3b/a
    11·1 answer
  • I have no idea what it is​
    6·1 answer
  • (x3 + 9x2 + 1)(3x2 + 4x − 4)
    7·1 answer
  • Heather invested $11,600 in an account that pays 5% simple interest. If she invests the money for 6 years, how much will she hav
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!