1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.

Answer:

[tex]x = \frac{5}{3}[/tex]

Step-by-step explanation:

Parallelogram

It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.

We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:

6x - 4 = 3x + 1

Subtracting 3x:

3x - 4 = 1

Adding 4:

3x = 5

Dividing by 3:

[tex]\mathbf{x = \frac{5}{3}}[/tex]

Answer:

A. 1

Step-by-step explanation:

[tex] {i}^{28} = ( {i}^{2} )^{14} = ( - 1)^{14} = 1 \\ [/tex]

Answer:

3x-5=25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basically angle bisector divides the angle in tow equal parts. As Full angle,

m∠KJI = 76 Degrees

Angle Bisector will divide it into two equal parts means that 76/2=38 Degrees each

m∠KJL=m∠KLI

38=38

Your right answer will be 38.

Answer:

Solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]

Step-by-step explanation:

We need to solve to find the value for x in the linear equation: [tex]3(-4x + 5) = 12[/tex]

1. Use the distributive property:

Multiply 3 with terms inside the bracket

[tex]3(-4x + 5) = 12\\3(-4x)+3(5)=12\\-12x+15=12[/tex]

2. Use the subtraction property of equality:

Subtracting 15 on both sides

[tex]-12x+15-15=12-15\\-12x=-3[/tex]

3. Division property of equality:

Divide both sides by -12

[tex]\frac{-12x}{-12}=\frac{-3}{-12}[/tex]

[tex]x=\frac{1}{4}[/tex]

So, solving the linear equation [tex]3(-4x + 5) = 12[/tex] we get [tex]\mathbf{x=\frac{1}{4}}[/tex]

Answer:

x= [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Or the way you will right it in edg is 1/4

Answer:

35

Step-by-step explanation:

14 + 9 + 12= 35

Answer:

x = 5 unit

NM = 20 unit

OL = 20 unit

Step-by-step explanation:

Given:

LMNO is parallelogram

NM = x + 15

OL = 3x + 5

Find:

x and NM and OL

So,

NM = OL

x + 15 = 3x + 5

2x = 10

x = 5

So,

NM = x + 15 = 5 + 15 = 20

OL = 3x + 5 =3(5)+5 = 20

Complete question :

Chuck lives 4/5 of a mile from the post office. He walked 2/3 of the way from home to the post office. How far did Chuck walk? If possible, write the answer in reduced form

Answer:

8/ 15 miles

Step-by-step explanation:

Given that:

Distance from house to post office = 4/5 miles

Distance walked = 2/3 of the distance

Hence, the distance walked can be obtained thus :

2/3 of (4/5)

2/3 * 4/5

8 / 15

Hence, Chucks walked 8 /15 miles

Answer:

22 degrees

Step-by-step explanation:

Answer: 3,540

Step-by-step explanation: If she is adding 60 dollars a week to the savings count. That means that you will have to multiply 60 x 39. And you add the 1,200 to it.

Answer:

Total volume = 355 cm³

Step-by-step explanation:

Volume of the irregular prism = volume of part A + volume of part B

Volume of part A which is also a rectangular prism = Length × width × height

= (11 - 5) × 5 × 6

= 6 × 5 × 6

= 180 cm³

Volume of rectangular prism B = 5 × 5 × (6 + 5)

                                                   = 5 × 5 × 11

                                                   = 275 cm³

Total volume = 180 + 175

                      = 355 cm³

Answer:

there is no answer so why post this

Answer:

ma what

Step-by-step explanation:

literally what........

Answer:

Step-by-step explanation:

Slope = 0

y-y1=m(x-x1)

y-3=0

y = 3

Answer:

24/7

Step-by-step explanation:

cos(theta)=24/25

so draw right triangle

you get the length of each side be

7 24 25

(you must draw a picture)

then the answer would be 24/7

Answer: 270°

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

120 =1233

100= mk109

Answer:

A.(-1,-1)

E.(4,64)

Step-by-step explanation:

We are given that

Function

[tex]y=x^3[/tex]

We have to find all possible input-output pairs for the function.

Substitute x=-1

[tex]y=(-1)^3=-1[/tex]

Then, the pair is (-1,-1)

Now, substitute x=-2

[tex]y=(-2)^3=-8[/tex]

Then, pair is (-2,-8)

Now, substitute x=3

[tex]y=3^3=27[/tex]

Now, substitute x=4

[tex]y=4^3=64[/tex]

Now, substitute x=1

Then, y=1

Hence, Option A and E are true.

A.(-1,-1)

E.(4,64)

The possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]

The given function is,

                     [tex]y=x^{3}[/tex]

When x = -1 then [tex]y=(-1)^{3} =-1[/tex]

When x = 4 then [tex]y=4^{3}=64[/tex]

When x = -2 then  [tex]y=(-2)^{3}=-8[/tex]

Hence,   the possible input-output pairs for the function are [tex](-1,-1)[/tex] and [tex](4,64)[/tex]

Learn more about the input and output relation of function here:

https://brainly.com/question/25983065

Answer: 250 miles

Step-by-step explanation:

I am not sure what grade level you are, but this is how it is done in college.

I hope it can give you an idea and be of some help.

First you have to convert 150 minutes to hours. Then you multiply your new hours to 100 miles.

150 minutes x     1 hour     x       100 miles    = 250 miles

                           60 mins.              1 hour

Answer:

The first one is X=5.

The second one is X=8

Hope this helps!

Answer:

(-2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

6x - y = -14

-2x + y = 6

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

its 35

Step-by-step explanation:

Answer:

Angle WZY=31degrees

Step-by-step explanation:

5x+11=8x-1

11+1=8x-5x

12=3x

X=12/3

X=4

Substitute x=4 in 5x+11

5(4)+11=31

Answer:

45

Step-by-step explanation:

because the mass

Answer:The percent decrease was 15%

Step-by-step explanation:

In order to find this, use the percent change equation.  

(New - Old)/(Old) * 100 = % Change

Now input 149.42 for the New price and 175.80 for the Old price.  

(149.42 - 175.80)/(175.80) * 100 = % Change

-26.38/175.80 * 100 = % Change

-.15 * 100 = % Change

-15 = % Change

Step-by-step explanation:

Answer:

B. A triangle can have only 1 right angle.

Step-by-step explanation:

Think of a right angle as an L. If you have an L connecting to a backwards L, you have an open shape. Triangles have 3 sides and are closed shapes. If a triangle has two right angles, you could connect the two ends but that would give you a square or triangle.

Hope this helped!

Answer:

B

Step-by-step explanation:

So there can be only one right angle if all other angles are to be greater than zero

Answer:

Some common synonyms of reflect are cogitate, deliberate, reason, speculate, and think.

Step-by-step explanation:

Answer:

a mirror image

a transformation

Step-by-step explanation:

yeye bro I got you

Answer:

g x 1.99 + 19.99 OR 1.99g + 19.99

Step-by-step explanation:

The cost is 1.99, you multiply 1.99 by the amount of games you are buying (g) to get the total cost. for example:

1 game = 1.99

2 games = 3.98 -> 3.99 (rounded)

3 games = 5.97 -> 5.99 (rounded)

equation:

(2 games)

1.99 x 3 (amount of games) =

step 2

you just add 19.99 for the membership fee

1.99g also equals 1.99 x g because its algebra.. duh

Answer:

Volume of square pyramid = 330.24 inches³

Step-by-step explanation:

Question No 20

Base of Square Pyramid = 8 inches

Height of Square Pyramid = 15.5 inches

We need to determine the volume of pyramid.

The formula used is: [tex]Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}[/tex]

Putting values of base and height of pyramid and finding volume

[tex]Volume\:of\:Square\:Pyramid=a^2\times \frac{h}{3}\\Volume\:of\:Square\:Pyramid=(8)^2\times \frac{15.5}{3}\\Volume\:of\:Square\:Pyramid=64 \times 5.16\\Volume\:of\:Square\:Pyramid=330.24\:inches ^3[/tex]

So, Volume of square pyramid = 330.24 inches³