A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario. pentagon's perimeter: rectangle's perimeter: scenario's equation:

Answer:

x = 77

61 + 42 = 103

180 - 103 = 77

[tex] = \frac{1}{6} \div \frac{1}{2} [/tex]

[tex] = \frac{1}{6} \times \frac{2}{1} [/tex]

[tex] = \frac{1}{6} \times 2[/tex]

[tex] = \frac{2}{6} [/tex]

[tex] = \frac{2 \div 2}{6 \div 2} [/tex]

[tex] =\frac{1}{3} [/tex]

[tex]therefore \: \: , \frac{1}{6} \div \frac{1}{2} = \frac{1}{3} [/tex]

rspuesta:esi  sirtevmelo  dces y yaie

Answer:

Plot a point at the y-intercept.

In your case, you will need to plot 2 (y-intercept) on the graph first.

Answer:

-2 or 3

Step-by-step explanation:

Step 1: Factor equation.

(x+2)(x−3)=0

Step 2: Set factors equal to 0.

x+2=0 or x−3=0

x=−2 or x=3

-2 and 3 are the solutions to the equation x² – x – 6 = 0

To determine the solutions of the equation x² – x – 6 = 0

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x (x - 3) + 2(x + 3) = 0

(x + 2) (x + 3) = 0

(x + 2) = 0

x = - 2......(1)

(x + 3) = 0

x = - 3..........(2)

x = −2 or x = 3

Therefore, -2 and 3 are the solutions to the equation  x² – x – 6 = 0.

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Answer:

A. 60√3 ft²

Step-by-step explanation:

Answer:

I would say you are correct with your answer

Step-by-step explanation:

hope it is correct

Answer:

84

Step-by-step explanation:

Use the pythagorean theorem to solve the equation.

Line it up like this:

A=12 B=14 C=?

a^2 + b^2 = c^2

12^2 + 14^2 = c^2

144 + 196 = c^2

[tex]\sqrt\\144 + 196[/tex] = [tex]\sqrt c^{2}[/tex]

[tex]2\sqrt{85}[/tex] = c

Answer:

25° and 65°

Step-by-step explanation:

1. 65°-25°= 40°

2. 90°-65°=25°

3. 90°-25°=65°

Therefore 25° and 65° fit the criteria, make sure to add the degrees symbol :)

Complementary angles have a sum of 90° thus measure of the first and the second angle is 25° and 65° respectively.

Angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Let's suppose the first angle is x while the second is y.

If two angles have a sum of 90° then they will be called as complementary angles since x and y are complementary.

x + y = 90

Now given that,

The measure of the first angle is 40° less than the measure of the second.

x = y - 40

x - y = -40

By adding both equations,

(x + y) + (x - y) = 90 + (-40)

2x = 50

x = 25

y = 90 - 25 = 65

Hence "The first and the second angle is 25° and 65° respectively".

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Answer:

I think it may be six , but I may be wrong

Step-by-step explanation:

Answer:

sixths

Step-by-step explanation:

Remember the denominator is the number you are dividing the pieces into. Thats why we call it a di"vid'end.

Answer:

D) |−8,000 − (−50)|

Step-by-step explanation:

When we are dealing with questions involving above or below sea level,

The formula for the Absolute value expression representing the distance = | Height above sea level -(Distance below sea level|

Height of Cameron above sea level = 8000ft = -8000

Distance of the whale below sea level = 50ft = -50

Hence, we have:

|−8,000 − (−50)|.

Option D is the correct option

Answer:

if c = 4, it is 1/4 of a

Step-by-step explanation:

if c = 4,

b = c + 4 = 4 + 4 = 8

b = 8

a = b + 12 = 8 + 12 = 20

20/4 = 5

if c = 4, it is 1/4 of a

Answer:

Allison's table is not  proportional

Step-by-step explanation:

Casey's is proportional because all her numbers are x30

Answer:casey

Step-by-step explanation: do 150 divided by 5 =30 and do the same for the rest

Answer:

we have to factories it in both activities..

Answer:

Step-by-step explanation:

Activity 2:

c² - 6c - 40

Sum = -6

Product = -40

Factors= -10 , 4

c² - 6c -40 = c² - 10c - 4c - 10*4

                = c(c - 10) - 4(c - 10)

               = (c -10) (c -4)

e²  + 10e +16

Sum = 10

Product = 16

Factors= 2 , 8

e² + 10e + 16 = e² + 2e + 8e + 2*8

                      = e(e + 2) + 8(e + 2)

                     = (e + 2)(e +8)

h²  - 5h  - 24

Sum = -5

Product = -24

Factors = 3 , -8

h²  - 5h - 24 = h²  + 3h - 8h - 3*8

                     = h(h + 3) - 8(h + 3)

                    = (h +3)(h - 8)

3x²  - 5 x - 12

Sum = -5

Product = -12 * 3 = - 36

Factors = -9 , 4

3x²  - 5x - 12 = 3x²  - 9x + 4x - 4*3

                    = 3x(x - 3) + 4(x - 3)

                   =(x - 3) (3x + 4)

4x²  + 4 x  - 15

Sum = 4

Product = 4 * -15 = - 60

Factors = 10 , -6

4x²  + 4x - 15 = 4x²  + 10x - 6x - 3*5

                      =2x (2x + 5) - 3(2x +5)

                     = (2x + 5)(2x - 3)

so it is gonna be 24 but if am wrong sorry

Answer:

I think I got linear function on 3 and 2 I got 56.42 but I think that's wrong but yeah sorry.

Step-by-step explanation:

Answer:

7x^2-20

Step-by-step explanation:

Answer:

1. -2

2.-10

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Because the two labelled angles make up a line, we know their sum is 180.

So, add them and set them equal to 180:

2x + (x - 9) = 180

Combine like terms:

3x - 9 = 180

3x = 189

x = 63

Thus, the answer is 63.

~ an aesthetics lover

Answer:

A

Step-by-step explanation:

Answer:

4m+3

Step-by-step explanation:

Apples- $4 each

PB Jar- $3

We know that he bought one jar of PB but we don't know how many apples. We can represnt the amount of apples by m

that would be:

4m+3

1) AE = BD; CD = CE

Given

2) AE = AC + CE

Subtraction Property of Equality

3) AC +CD= BC + CD

Segment Addition Postulate

4) AC +CD= BD

Symmetric Property of Equality

5) BD = AC + CD

Segment Addition Postulate

6) BD =BC+CD

Transitive Property of Equality

7) AC = BC

Substitution Property of Equality

I think this is it

To prove that AC and BC are congruent, all usable postulates and theorems must be stated, with valid reasons.

The proof that [tex]AC \cong BC[/tex] is as follows:

Given:

[tex]AE = BD, CD= CE[/tex]

I've added as an attachment, the table that needs to be completed.

[tex]1.\ AE = BD, CD= CE \to[/tex] Given

Because the given parameters are:  

[tex]AE = BD, CD= CE[/tex]

[tex]2.\ AC \cong BC \to[/tex] Definition of congruence

[tex]3.\ AE =AC + CE \to[/tex] Segment addition postulate

From the attached image, AE is a straight line, and point C is on segment AE.

[tex]4.\ BD=AC +CD \to[/tex] Substitution property of equality

Substitute BD for AE and CD for CE in (2)

[tex]5.\ AC +CD =BD \to[/tex] Symmetric property of equality

The symmetric property of equality states that:

if [tex]a = b[/tex], then [tex]b = a[/tex]

[tex]6.\ BD =BC +CD \to[/tex] Segment addition postulate

From the attached image, BD is a straight line, and point C is on segment BD.

[tex]7.\ AC+CD =BC+CD \to[/tex] Transitive property of equality

The transitive property of equality states that:

if [tex]a = b[/tex] and [tex]b = c[/tex], then [tex]a=c[/tex]

[tex]8.\ AC =BC \to[/tex] Subtraction property of equality

Subtract CD from both sides of (6)

[tex]9.\ AC \cong BC \to[/tex] Proved

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Answer:

3.75

Step-by-step explanation:

Answer:

The answer is 12

Step-by-step explanation:

there you go

Answer:

1. √121=11 Rational

2. √48=4√3 Irrational

Step-by-step explanation:

1. √121=11 Rational

2. √48=4√3 Irrational

Answer:

-7

Step-by-step explanation:

use X to represent the unknown number

(x-16) -6=-138

-138/6= -23

(x-16)=-23

add 16 to both sides

x= -7

Julio's number is -7

you can also plug it back into the formula to prove it is right

Answer:

The vast majority of Americans – 96% – now own a cellphone of some kind. The share of Americans that own smartphones is now 81%, up from just 35% in Pew Research Center’s first survey of smartphone ownership conducted in 2011. Along with mobile phones, Americans own a range of other information devices. Nearly three-quarters of U.S. adults now own desktop or laptop computers, while roughly half now own tablet computers and roughly half own e-reader devices.

Step-by-step explanation:

Answer:

Here:

Step-by-step explanation:

35.13% of people have cellphones in the world.