Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation?
Can someone please help me ASAP!!

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8,-6) and T(4, 12)

We have

[tex]M = ( \frac{ - 8 + 4}{2} \: , \: \frac{ - 6 + 12}{2} ) \\ = ( - \frac{4}{2} \: , \: \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

8x=96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X=96 inch

We must multiply due that there is two sides that measure the same.

The equation which models this situation is,

⇒ 96 = 2 ((3 + 2x) + x)

or ⇒ 96 = 2 (3 + 3x)

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A rectangle has a length that is 3 more than twice the width.

And, Its perimeter is 96 inches.

Let the width of rectangle = x

So, The length of rectangle = 3 + 2x

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Substitute all the values, we get;

⇒ Perimeter of rectangle = 2 (Length + Width)

⇒ 96 = 2 ((3 + 2x) + x)

⇒ 96 = 2 (3 + 3x)

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Answer:

x+3/5

Step-by-step explanation:

f(x)=x-3/5

y=f(x) let

y=x-3/5

put x at y and y at x

then,

x=y-3/5

y=x+3/5

f(x) inverse is x+3/5

Answer:

96

Step-by-step

the distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 mile

Distance of amusement park from Jack's home = 96 miles

She drove at a speed of 60 mph to get to the amusement park.

Time = distance/speed

Time; t1 = x/60 hours

Thus; time; t3 = x/40

Thus;

t1 + t2 + t3 = 11

Plugging in the relevant values;

(x/60) + 7 + (x/40) = 11

Rearrange to get;

(x/60) + (x/40) = 11 - 7

(x/60) + (x/40) = 4

Multiply through by 120 to get

2x + 3x = 480

5x = 480

x = 480/5

x = 96 miles

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Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

Answer:

Expression.

Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

An expression is combination of variables, numbers and operators.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

For example 2x+3y-4

In the given expression x and y are the variables.

plus and minus are the operation symbols.

4 is a number and 2 and 3 are the coefficients of a variable.

If the expression has an equal sign then it becomes the equation.

Hence, an expression is a number, a variable, or a combination of numbers and variables and operation symbols.

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Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

[tex] h \le 30 [/tex]

Step-by-step explanation:

Let h = number of hours of work.

At most 30 hours means 30 hours or less.

[tex] h \le 30 [/tex]

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Answer:

Step-by-step explanation:

2x - 8 = 10

Bringing like terms on one side

2x = 10 + 8

2x = 18

x = 18/2 = 9

Answer:

x= 9 balance the equation

Step-by-step explanation:

2x-8=10 -------- equation (1)

2x=10+8 -------- equation (2)

2x=18

x = 9

let's put x = 9 into equation(2)

2(9) =10+8

18=18, x= 9 balance the equation

Answer:

a

Step-by-step explanation:

Answer:

The correct answer for plato is option C

Step-by-step explanation:

C. (2, -1)

Answer:

x<0 and x>-2

Step-by-step explanation:

Answer:

x<0 and x>−2

Step-by-step explanation:

Step 1: Add -3 to both sides.

|x+1|+3+−3<4+−3

|x+1|<1

Step 2: Solve Absolute Value.

|x+1|<1

We know x+1<1 and x+1>−1

x+1<1(Condition 1)

x+1−1<1−1(Subtract 1 from both sides)

x<0

x+1>−1(Condition 2)

x+1−1>−1−1(Subtract 1 from both sides)

x>−2

Answer: A and C are correct.

Step-by-step explanation:

Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)

For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

[tex]40x+130y=1010\,\,\,...(ii)[/tex]

Put [tex]x=14-y[/tex] in (ii)

[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]

Put [tex]y=5[/tex] in [tex]x=14-y[/tex]

[tex]x=14-5=9[/tex]

Therefore, Adrian's songs played on 9 commercials and 5 movies.

Answer:

1.4-62=-60.6

Step-by-step explanation:

Ask me if you need any other help!

Answer:

One solution

Step-by-step explanation:

12x+96=11x-5

12x-11x= -5-96

x= -101

x only equals one solution, which is -101.

Answer: 6.5 hours

Step-by-step explanation:

You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5

Answer:6

Step-by-step explanation:

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

(1-0) / (0-(-3)) = 1 / 3

Plug it into the equation

y= 1/3x + 1

Answer:

Yes.

If they do, their intersection is a line.

Answer:

yes

Step-by-step explanation:

[tex] - 16x = - 80[/tex]

Divided sides by -16

[tex] \frac{ - 16}{ - 16}x = \frac{ - 80}{ - 16} \\ [/tex]

[tex]x = 5[/tex]

And we're done...♥️♥️♥️♥️♥️

Answer:

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Step-by-step explanation:

2x² – x – 10

The equation above can be factorised as follow:

2x² – x – 10

Multiply the first term (i.e 2x²) and the last term (i.e –10) together.

2x² × (–10) = –20x²

Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).

The factors are 4x and –5x.

Next, replace –x in the equation above with 4x and –5x. This is illustrated below:

2x² – x – 10

2x² – 5x + 4x – 10

Next, factorise

2x² – 5x + 4x – 10

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

In this figure ∠7 and ∠3 are alternate interior angles . Alternate interior angles in two parallel lines with a transversal will always be equal . Since ∠7 is congruent to ∠3 , we can say that line m and line n are parallel lines .

Therefore :-

The lines are parallel because the alternate interior angles in them are congruent .

Given :-

m∠3 = ( 15x + 22 )°

Then , m∠3 will be equal to :-

x = 8

= 15 × 8 + 22

= 120 + 22

m∠3 = 142°

m∠1 = ( 19x - 10 )°

= 19 × 8 - 10

= 152 - 10

m∠1 = 142°

angle 1 and angle 3 are corresponding angles , which means their value will be equal if they are present on two parallel lines with a transversal . As their values are equal we can say that line m and line n are parallel .

Therefore :-

Yes , the lines are parallel because the corresponding angles in them are equal .

∠7 and ∠6 are interior angles on the same side of transversal , which means their angle su, will be equal to 180° . But since their values are equal these two lines are not parallel .

Therefore :-

∠7 and ∠6 are interior angles on the same side of transversal , so their sum will be equal to 180° . But since that is not the case in the lines shown above , those lines are not parallel lines .

Given :-

m∠2 = ( 5x + 3 )°

x = 14

= 5 × 14 + 3

= 60 + 3

= 63°

m∠3 = ( 8x - 5 )°

= 8 × 14 - 5

= 112 - 5

= 107°

We know that the sum of angle 2 and angle 3 will be equal to 180° if they are on two parallel lines as they are interior angles on the same side of transversal .

As :-

∠2 + ∠3 ≠ 180°

63° + 107° is not equal to 180° ,

Therefore :-

These lines are not parallel as the sum of their interior angles on the same side of transversal is not equal to 180°.

Given :-

m∠8 = ( 6x - 1 )°

x = 9

= 6 × 9 - 1

= 54 - 1

= 53°

m∠4 = ( 5x + 3 )°

= 5 × 9 + 3

= 45 + 3

= 48°

angle 8 and angle 2 are vertically opposite angles , which means m∠8 = m∠2 .

m∠2 = 53°

As ∠2 and ∠4 are corresponding angles their value will be equal , if they are on parallel lines .

Since angle 2 , angle 8 and angle 4 are not equal these lines are not parallel lines .

Therefore :-

The lines are not parallel as their corresponding angles are not equal .

Angle 5 and angle 7 are corresponding angles they will be congruent when on parallel lines .

As , m∠5 ≅ m∠7 these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Angle 1 and angle 7 are vertically opposite angles , which means their angle measure will be equal . As angle 7 and angle 5 are corresponding angles their angle measure will also be equal .

Since m∠5 ≅ m∠7 , these lines are parallel .

Therefore :-

These lines are parallel lines as their corresponding angles are equal .

Here , the value of x is the same .

Which means :-

m∠2 = x + 15° is greater than m∠6 = x + 10°

Angle 2 and angle 6 are alternate interior angles , their values should be equal . But since their values are not equal , the lines on which they reside are not parallel .

Therefore :-

These lines are not parallel as their alternate interior angles are not equal .

It is given that angle 1 and angle 3 are supplementary angles . It is also clear that angle 1 and angle 2 are a linear pair , which means their angle sum will be equal to 180° . Also , angle 3 and angle 2 should be equal since they are the supplement of the same angle . Angle 2 and angle 3 are also corresponding angles . Since corresponding angles in two lines with a transversal will be equal and in these two lines the corresponding angles are equal , these lines are parallel lines.

Therefore , JK // HI as their corresponding angles are equal .

i would say its the first one

Answer:

1. n = 9

2. m = - 17

3. r  =  17

4. x  =  0

5. m = 10

6. y = -3

7. a = 1

8. r = -10

9. x = 8

Step-by-step explanation: