The diagram shows two shapes A and B. Prove that both of them have equal perimeter.​

The Diagram Shows Two Shapes A And B. Prove That Both Of Them Have Equal Perimeter.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm


Related Questions

{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?

Answers

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16

Determine the equation of the line that is parallel to y=23x+4 and passes through the point (3,7).

Answers

Answer:  y = 23x - 62

Step-by-step explanation:

Parallel lines have the same slope.

y = 23x + 4

  m=23   b=4

Input x = 3, y = 7, & m = 23 into the Point-Slope formula to find the equation or the Slope-Intercept formula to find b (you already have m).  I will choose the latter.

 y = mx + b

 7 = 23(3) + b

 7 = 69 + b

-62 = b

m = 23, b = -62  -->  y = 23x - 62

9 is subtracted from 3 times the sum of 4 and 2​

Answers

Answer:

9

Step-by-step explanation:

3 times the sum of 4 and 2 = 3*(4+2)

                                            = 3 * 6

                                           = 18

18 - 9 = 9

which equation represents the line that is perpendicular yo y=3/2x+1 and passes through (-12,6)

Answers

Answer:

y = -2/3x - 2

Step-by-step explanation:

Step 1: Find slope m of perpendicular line

Simply take the negative reciprocal of the given line

m = -2/3

y = -2/3x + b

Step 2: Find b

6 = -2/3(-12) + b

6 = 8 + b

b = -2

Step 3: Rewrite perpendicular equation

y = -2/3x - 2

Eggs come in packets of 12 and English muffins come in packets of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins left over?

Answers

Answer:

The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.

Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?

Answers

Answer:

60 2/5 x 5 = 60 x 5 + 2/5 x 5

60 x 5 = 300

2/5 x 5 = 2

300 + 2 = 302 so 302 is the answer

302 km for 5 hours

Step-by-step explanation:

Step-by-step explanation:

Km in 1 hour = 60 2/5 = 60.4km

Km in 5 hours = 60.4 x 5 = 302km

I need help!
- 7(x + 2) = 21​

Answers

Answer:

x = -5

Step-by-step explanation:

-7(x + 2) = 21​

Divide each side by -7

-7/-7(x + 2) = 21​/-7

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer:

x = -5

Step-by-step explanation:

distribute: -7x-14 = 21

add 14 to both sides

divide by -7

x = -5

Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37

Answers

Answer:

(A), (C) and (D).

Step-by-step explanation:

An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)

So to find the equations that have infinite solutions, we need to see which have the same exact sides.

[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.

[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)

[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.

And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.

Hope this helped!

Answer:

question is not clear please send clear question

The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?

Answers

Answer:

30 mph

Step-by-step explanation:

let s represent speed and h represent rebound.

Given that s is proportional to h then the equation relating them is

s = kh ← k is the constant of proportion

To find k use the condition s = 20, h = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

s = 2h ← equation of proportionality

When h = 15 , then

s = 2 × 15 = 30 mph

I need help with this please answer

Answers

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Ms. delilio borrowed 1,200 from a bank for 3 months at 12% annual interest. How much interest did she pay?

Answers

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE

what percentage of the population has a heart rate between 68 and 77

Answers

Answer:

49.87% of the population has a heart rate between 68 and 77.

Step-by-step explanation:

We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.

Let X = the data for the resting heart of adults

The z-score probability distribution for the normal distribution is given by;

                          Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 68 beats per minute

           [tex]\sigma[/tex] = standard deviation = 3 beats per minute

Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)

    P(68 < X < 77) = P(X < 77) - P(X [tex]\leq[/tex] 68)

    P(X < 77) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{77-68}{3}[/tex] ) = P(Z < 3) = 0.9987

    P(X [tex]\leq[/tex] 68) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{68-68}{3}[/tex] ) = P(Z [tex]\leq[/tex] 0) = 0.50

The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.

Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%

Three students used factoring to solve a quadratic equation? The equation was solve correctly by ______.The solutions of the equation are__________.

Answers

Answer:Keith

x=5,x=12

Step-by-step explanation:

Answer:

the answers are keith and -5,-12

Step-by-step explanation:

I just took the test and got a 5/5 the other person is incorrect.

What are the independent and dependent variables in the relationship?

Answers

w is the width and it is the independent variable. You can pick any positive whole number you want (within reason of course; you can't go to infinity or go beyond some set boundary). Whatever you picked for w, the expression 2w-5 will be dependent on it. So the length is dependent on the width.

For instance, if the width is w = 10 feet, then 2w-5 = 2*10-5 = 20-5 = 15 feet is the length. The choice of 10 feet for the width directly affects the length being 15 feet.

According to the graph, what is the value of the constant in the equation
below?
A. 10
B. 20
C. 100
D. 4

Answers

Answer:

  C.  100

Step-by-step explanation:

You can rearrange the equation to say ...

  (Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

  4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

To decrease a number by 40%, what do we multiply by???

Answers

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

HELP
Kevin has $25 in his checking
account. If Kevin has $2.20
less than 4 times the amount
that Molly has in her
account, what is the
amount of money in
Molly's account?

Answers

Answer:

$6.8

Step-by-step explanation:

Let x be the amount of money in Molly's amount

according to question,

4x-25=2.20

4x=2.20+25

4x=27.20

x=27.20/4

x=6.8

So,the amount of money in Molly's amont is $6.8

Answer: $6.80

Step-by-step explanation:

We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.

25 = 4m -2.20   solve for m.

+2.20     +2.20

27.20 = 4m

m= 6.8

4(6.8) = 27.20 - 25 = 2.20

Please give me the correct answer

Answers

Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Which expression can be used to determine the slope of the linear function represented in the table?
х
0
у
5
9
4
9-5
4-0
O
4-0
9-5
o
5-0
9-4
O
9-4
5-0

Answers

Answer:

to find the slope of a linear function, there is only one formula

this formula requires two points, which are stated in tables and graphs alike

these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.

Formula for Slope:

y2 - y1______x2 - x1

this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots

make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1

It is important to remember that if this becomes a fraction, SIMPLIFY

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a table for the function as -

{x}   0   4

{y}   5   9

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0)

Therefore, we can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

can someone help me please ​

Answers

Answer:

-3x

Step-by-step explanation:

-3 is the coefficient and x is the variable.  

The base of a regular pyramid is a hexagon.

Answers

Answer:

The base of the regular pyramid is a square.

Step-by-step explanation:

What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?

Answers

Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

What is the range of the function?

Answers

Answer : B
***HOPE This Help You***

How many pairs of points are reflections across the x-axis?
A)1
B)2
C)3
D)4

Answers

Answer:

C. 3

Step-by-step explanation:

C&D, A&F, K&J

The pairs of points are reflections across the x-axis will be 3. The correct option is C.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given graph number of points is given in all four quadrants. The reflections of the points across the x-axis will be of the points C and D, A and F, K and J.

Therefore, the pairs of points that are reflections across the x-axis will be 3.

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ2

what is the ratio of the volumes of two similar spheres, given that the ratio of their radii is 5:9?
PLEASE NEED ANSWERS

Answers

Answer:

125 : 729

Step-by-step explanation:

Given the ratio of the radii of 2 similar spheres = a : b , then

ratio of volumes = a³ : b³

Here the ratio of radii = 5 : 9 , thus

ratio of volumes = 5³ : 9³ = 125 : 729

Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.
ту
g(x)
f(x)

k= -4
k= -1/4
k= 1/4
k= 4


ASAP!!!!

Answers

Answer: C

1/4

Step-by-step explanation:

Given a graph for the transformation of f(x) in the format g(x) = f(kx),

This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.

Therefore, the value of k will be 1/4.

Answer:

k=4

Step-by-step explanation:

If you wrote the numbers from 1-8, and it equals to three, how do you make the statement true if you can't change the 3 but you could connect two or more numbers to make the statement true if you also can only do subtraction?

Answers

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

what happens to 5/x + 5 as x decreases from a large positive number to a small positive number? does it increase, decrease, or stay the same?

Answers

Answer:

Increases

Step-by-step explanation:

It increases because, the greater the value of x the smaller the fraction is. If x was 25 the fraction would be 5/25 this makes the value of the equation 5.2. Now if x was a smaller positive number like 5. Then the fraction would be 5/5 which would cause the equation to be equal to 6.

It will increase hope im right
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