The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)

The Perimeters Of The Two Rectangles At Right Are Equal. Write And Solve An Equation To Find The Value
The Perimeters Of The Two Rectangles At Right Are Equal. Write And Solve An Equation To Find The Value

Answers

Answer 1

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units


Related Questions

how do you solve sin(x) + cos(x) * tan(x)

Answers

Step-by-step explanation:

[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]

Step-by-step explanation:

sin(x) + cos(x) = sin x ÷cos x

sin(x) + cos(x) sin(x) ÷ cos (x)

join cos x and sin x

sin x + sin x

cancel cos x with cos x

The answer is 2 sin x

(4x+5)(4x−5)
I'm stuck can someone please help me ​

Answers

Answer:6small2−25

Step-by-step explanation:

Answer:

16x² - 25

Step-by-step explanation:

(4x+5)(4x−5)

16x² - 20x + 20x - 25

16x² - 25

I NEED HELP RN PLEASEE need part 1 and 2 plz asap

Answers

Answer:

A. 2+6+10+14+18+22+26+30+34+38

B. 6+18+54+162+486+1458+4374+13122+39366+118098

Step-by-step explanation:

I. In A. you can see 2 is plus by 4 = 6

                                6 is plus by 4 = 10

                                ... is plus by 4 ...

So the term was plus by 4

II. In B. you can see 6 is multiply by 3 = 18

                                18 is multiply by 3 = 54

                                 ... is multiply by 3 ...

So the term was multiply by 3

Leave comment if you're curious.

look at the adjoining figure and write 2 pairs of intersecting lines.​

Answers

Answer:

Line AB and Line GHLine CD and Line FF

Concept:

Intersecting lines are lines that overlap upon only one point. The number of lines can be two or more.

Intersecting lines can intersect at any angle.

Solve:

There are in total four intersecting points in the given figure.

As we can see from the figure, any two lines would intersect each other

Therefore, 2 pairs of intersecting lines can be any pairings of lines that are not in the same orientation.

Line AB and Line GHLine CD and Line FF

Hope this helps!! :)

Please let me know if you have any questions

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

B

Step-by-step explanation:

Using the sine ratio in either of the 2 right angles and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{4\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2a = 4[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 12 ( divide both sides by 2 )

a = 6 → B

When the sum of the internal angles of a polygon is 10 right angles, then how
many sides does it have?

Answers

Answer:

7 sides

Step-by-step explanation:

formula for sum of interior angles

(n-2)× 180= 10 right angles

(n-2)× 180 = 900

n-2= 900÷180

n= 5+2

n= 7

n the expression below, the letters A,B, C, D and E represent the numbers 1, 2, 3, 4
and 5 in some order.
A×B +C ×D +E
What is the largest possible value of the expression?

Answers

Answer:

A × B + C × D + E

1 × 2 + 3 × 4 + 5

= 19

Solve the following problem. Round to one decimal place if necssary.

Answers

Answer:

x = 16.1051577

Step-by-step explanation:

tan0 = opp/adj

tan0 = 14/x

tan(49)× 14 = 16.1051577

Write 8-to 10 sentences about how math can make you a good leader/worker?



^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff

Answers

Step-by-step explanation:

Mathematics is a methodical application of matter. ... Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

pls make me the brainliest

Answer:

  Math can make you a good leader and worker in many ways. Math is a subject that usually includes lots of problem-solving and critical thinking skills. When taking a math class you acquire lots of experience with those. Some areas of math such as Calculus, can be very difficult and take lots of determination to learn. People that are able to effectively solve problems are very valuable to businesses as workers and will often be hired and promoted before others who don't posses the same problem-solving skills. Knowing how to make basic calculations without a calculator can also be very useful in any field of work.

please help asap show work and dont put links

Answers

Answer:

square root of x. so just find the square roots of all the inputs. you can tell its square root of x cuz all of things where both boxes are fille in each side have the same patter. square root of 1 is 1 square root of 49 is 7 square root of 25 is 5

Step-by-step explanation:

Calculus (yet again)!

The water level of a certain body of water is changing at a rate of [tex]W(t) = \frac{1}{2}cos(3 - \frac{t}{2})[/tex] inches per hour, where t represents hours since 12 a.m.
What is the average hourly number of inches that the water level changes for this lake in one day?

I'm pretty sure that the number of inches that the water changes in one day would be represented by [tex]\int\limits^2_0 {W(t)} \, dt[/tex] (where the number on top of the integral is a 24), but how would I set up an integral for the average hourly number of inches? Thank you so much!

Answers

Answer:

The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

Step-by-step explanation:

The water level of a certain body of water is changing at a rate represented by the function:

[tex]\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)[/tex]

Where W is measured in inches per hour and t represents hours since 12 A.M.

And we want to determine the average hourly number of inches that the water level changes for the lake in one day.

Recall that the average value of a function is given by:

[tex]\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx[/tex]

Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.

Substitute:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Simplify:

[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]

Evaluate using u-substitution. We can let:

[tex]\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt[/tex]

Hence:

[tex]\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}[/tex]

In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.

The component form of the vector shown here is
A) (1, 1).
B) (2,4).
C) (1,3).
D) (3,5).​

Answers

Answer:

C) <1, 3>

Step-by-step explanation:

A vector quantity has both magnitude and direction, to find the component form, you must subtract the terminal point which is indicated by the arrow from the initial point shown by the circle of which it begins.






answer it plz


step by step plz​

Answers

Answer:

I HOPE IT WILL HELP YOU A LOT.

Have a great day ahead.

Find the length of the line segment in decimal form.

Answers

Answer:

Step-by-step explanation:

(2 , 4)  ;      ( -1 , -1)    

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               

I need the volume of part f in this question and please show the working if you do solve it !!

Answers

Answer:

10 x 4 x 3=120

4 x 3 x 3=36

4 x 3 x 3=36

120+48+48=192

im sorry....i don't know the proper working>_<

Solve for x: |4x + 12| = 16 (5 points)

Group of answer choices

x = 7, x = −7

x = 1, x = −1

x = 1, x = −7

x = −1, x = 7

Answers

X= 1 , X= –7

I hope I helped you^_^

Solve for y.

–5(y − 3) − 10 = –6y

y =

Answers

Answer:

y = - 5

Step-by-step explanation:

–5(y − 3) − 10 = -6y

-5y + 15 - 10 = -6y

-5y + 5 = -6y

5 = - 6y + 5y

5 = -y

-5 = y

Answer:

y = -5

Step-by-step explanation:

–5(y − 3) − 10 = –6y

First, open up the brackets.

-5y + 15 - 10 = -6y

-5y + 5 = -6y

Move y to the same side. ( when you move the numbers to the opposite side , be aware of changing the negatives and positives )

-5y + 6y = -5

y = -5

Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x

Answers

Answer:

4x - 3x - 2y -y +7 + 5

Step-by-step explanation:

4x-3x =x

-2y-y = (-3y)

7+5 = 12

x-3y+12

Talehia is working on the monthly budget her monthly income is 500 she has allocated 200 for savings 100 for vehicle expenses and 75 for closing how much is available to spend on entertainment

Answers

Answer:

125

Step-by-step explanation:

total earning = 500

saving = 200

reaminings = 500-200

temainings= 300

vehical expenses=100

now remainings= 300-100

remaining=200

closing= 75

remaings=200-75

remainings for entertainment= 125

Select the coff
A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within
0.15 ounces of that amount. Which inequality shows all the possible actual bottle volumes (1) that the manufacturer would be able to advertise
as 21 ounces?

Answers

Answer:

d

Step-by-step explanation:

v+21

[tex]v + 21 \leqslant 0.15[/tex]

The inequality is v+ 21 ≤ 0.15

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A company that bottles mustard is allowed to advertise their bottle size as 21 ounces as long as the actual amount in the bottle is within 0.15 ounces of that amount.

So,

if the volume is v then the situation can be represented as

v+ 21 ≤ 0.15

As, the actual amount  is within 0.15 ounces of that amount.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.​

Answers

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The product of 4 and a number x

Answers

Answer:

you can`t multiply an integer with a variable unless the variable represents something

ex: if x = 10 then the product of 4 and x is 40

Answer:

4x

Step-by-step explanation:

'Product' refers to multiplication.

calculate the area of the classroom.area =l×b​

Answers

If the length is 160cm and the breadth is 100cm and the area= I x B
So this means it’s like that:
160 x 100 = 16000cm2

How can a frequency table or histogram help you organize and analyze data?

Answers

Answer:

[tex]\red{{\sf{NONSENSE=}}}[/tex]

[tex]\blue{{\sf{REPORT}}}[/tex]

[tex]\color {red}{•}\color {orange}{•}\color {yellow}{•}\color {lime}{•}\color {green}{•}\color {cyan}{•}\color {aquamarine}{•}\color {indigo}{•}\color {blue}{•}\color {violet}{•}\color {blueviolet}{•}\color {pink}{•}\color {magenta}{•} \color {brown}{•}\color {gray}{•}\color {black}{•}[/tex]

In the​ diagram, bisects FGI.
Angle FGI is formed from angles FGH and HGI. Angle FGH measures 4 x minus 7 degrees. Angle HGI measures 5 x minus 14 degrees.
a.
Solve for x and find mFGH.
b.
Find mHGI.
c.
Find mFGI.
a. x
nothing ​(Simplify your​ answer.)

Answers

Answer:

C 100%

Step-by-step explanation:

The domain for f(x) and g(x) is the set of all real numbers
Let f(x) = 3x + 5 and g(x) = x^2
Find (f + g)(x).

Answers

Answer:

3x square + 5 is your answer

WHATS 9+10??????????????

Answers

21 of course
……………………
9+10= 19

Hope it helpss!!!!!

-5.025, -square root of 25, -5 1/2, -11/2 least you greatest

Answers

answer =-51/2,-11/2,-5.025,-✓25

-✓25=-5

-11/2=-5.5

-51/2=-25.5

-5.025

Which statement is supported by the graph?

The bicycle has speed but not velocity.
The bicycle is moving at a constant velocity.
The bicycle has a displacement of 3 m.
The bicycle is not in motion.

Answers

Answer:

The correct answer is D. The bicycle is not in motion.

Step-by-step explanation:

In the position-time graph we can see that the position of the cycle hasn't changed when the time has changed (e.g. when time changes from 2s to 3s, the position remains 3m). Therefore, we can conclude that the cycle is not moving, and therefore answer D. is correct.

Answer:

its d

Step-by-step explanation:

2sinx/2cosx-secx=tan2x​

Answers

Answer:

hope it help u

Step-by-step explanation:

2sinx/(2cosx – secx)

=2 sinx/(2cosx–1/cosx)

as secx = 1/ cosx

multiplying both the denominator and numerator by cost,we get

2sinxcosx/( 2cos^2x –1) =cos2x

since,2sinxcosx = sin2x and 2cos^2 –1=cos2x

2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x

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