If the following figure is a rectangle, find wz. ​

If The Following Figure Is A Rectangle, Find Wz.

Answers

Answer 1

Answer:

Step-by-step explanation:

as both sides are equal so

7x-6 = 3x+14

7x-3x = 14+6

4x = 20

x= 5

Now, put x in 7x-6 to find WZ

7(5)-6 = 29

Also, 3(5)+14 = 29

Answer 2

The measurement of the side WZ of rectangle WXYZ is 29.

What are rectangles?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, WXYZ is a rectangle, we need to find WZ,

As we know that, a rectangle is a type of parallelogram and opposite sides of a parallelogram are equal and parallel,

WZ and XY are opposite sides of the rectangle, therefore, are equal.

Thus,

WZ = XY

7x - 6 = 3x + 14

4x = 20

x = 5

Put x =5 in 7x - 6

WZ = 7(5) - 6

WZ = 29

Hence, the measurement of the side WZ of rectangle WXYZ is 29.

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Related Questions

Scenario: Multiplying Polynomials

Instructions:

View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures

Emily and Zach have two different polynomials to multiply:

Polynomial product A:
(4x2 – 4x)(x2 – 4) Polynomial product B:
(x2 + x – 2)(4x2 – 8x)
They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)

Classmate Conjecture
Emily



Zach



Evaluating the Conjectures

Who do you think is correct? (1 point)




Analyzing the Data

Table Method:

2. Use the table to find the products of the two polynomials. Write your answer in descending order. (4 points: 2 points for each product)

A) (4x2 – 4x)(x2 – 4)

4x2 –4x
x2
–4










B) (x2 + x – 2)(4x2 – 8x)

there's another part on my profile, can u do it to please!!

Answers

Answer: there's one more screen shot but the limit is 5... so ill type it out!

7. Are the two products the same when you multiply them vertically? (1 point)

Yes they are

Making a Decision:

8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)

They were both correct

9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)

I prefer the first one, Table method. To me it is easier and the fastest out of them all.

PLEASE HELP ASAP! WILL GIVE BRAINLIEST!

Answers

Answer: g it is 2x+21 ansd h is 3x+24

Step-by-step explanation:

A square field has a perimeter if 3.6km what is the length of one side in metres​

Answers

Answer:

A square field has a perimeter if 3.6km what is the length of one side in metres

Step-by-step explanation:

A square field has a perimeter if 3.6km what is the length of one side in metres

Given,

Perimeter = 3.6 km = 3600m

We need to find,

Side of square = ?

As we know that,

Perimeter of square = 4 ×side

→3600=4s

→3600/4=side

→Side=900m

Solve 2x + 6 < 10 or 2x + 8 > 20. A. x < 2 and 2 > 2 B. I 2 O C. x < 1 or x > 6 O D. x < 2 or x > 6​

Answers

Answer:

x>2 or x>6

Step-by-step explanation:

2x+6<10 or 2x+8>20

2x>4 or 2x>12

x>2 or x>6

Inequalities help us to compare two unequal expressions. The correct option is D.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The two of the given inequalities can be solved as shown below.

2x + 6 < 10

Subtract 6 from both sides of the equation,

2x + 6 - 6 < 10 - 6

2x < 4

Divide both the sides of the equation by 2,

2x/2 < 4/2

x < 2

2x + 8 > 20

Subtract 8 from both sides of the equation,

2x + 8 - 8 > 20 - 8

2x > 12

Divide both the sides of the equation by 2,

2x/2 > 12/2

x > 6

Hence, the correct option is D.

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A 145 ft. building casts a 667 ft. shadow from the sun. To the nearest tenth of a degree, what is the angle of depression? Need it asap pls ;-;

Answers

Answer:

78ft

I got it off of apec

(1- 7n) • 5 simplify thank you

Answers

Answer:

5-35n

Step-by-step explanation:

5-35n

Just open the parenthesis and multiply by 5.

Answer:

5-35n

Step-by-step explanation:

Is every relation also a function? Use the drop-down menus to show and explain your answer.
1. No or Yes
2. Relation or Function
3. Relation or Function
4. Relation or Function

Answers

Answer:

NO

Step-by-step explanation:

No no no no noNOOOOOOOOOOOOO

PLZ NEED HELP QUICK PLZ

Answers

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

help please im bad at math ​

Answers

Answer:

32$

Step-by-step explanation:

There's a 25% discount, so,

After cutting discount, the total will be 9.78 -(9.78×25%)

=7.335

Again, after adding tax, total amount will be : 7.335+ ( 9.78×7.75%)

=8.09

So, the total cost of 4 DVD is 4× 8.09 =32.36

the sum for 3 times x and eleven

Answers

Answer:

3x +11 = 32

Step-by-step explanation:

hope this is correct! <3

Answer:

3x +11 = 32

3x = 32-11

3x = 21

x = 21/3

x = 7

check answer:

3(7)+11 = 32

21 + 11 = 32

32 = 32

LHS = RHS

Hence, verified

suppose that the functions s and t are defined for all real numbers x as follows.
s(x)= x+6
t(x)= 4x2
write the expressions for (s.t)(x) and (s-t)(x) and evaluate (s+t)(-3).

Answers

Answer:

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Step-by-step explanation:

Given functions are:

[tex]s(x)= x+6\\t(x)= 4x^2[/tex]

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]

Also we have to find

(s-t)(x) => we have to subtract function t from function s

[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]

Putting x = -3

[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]

Hence,

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Help me please......

Answers

Answer:

i believe it would be -3

Step-by-step explanation:

9 + -12 = -3

Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?


Please hurry up(btw you will get the brainliest)‍♂️

Answers

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

Find three consecutive odd integers such that the sum of the smallest and twice the second is 14 more than the third.

Show your work

Answers

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Can u guys help me quick (write an expression)

Answers

Answer:I zoom in but it blurry .

Sorry but have a great day.

Step-by-step explanation:

A principal of $2600 is invested at 3% Interest, compounded annually. How much will the investment be worth after 14 years

Answers

It is 3932.73 since it will just be 2600 times by 1.03 for 3% interest to the power of 14 which makes it 2600 x 1.03^14 which then equals 3932.73

Answer:

3692

Step-by-step explanation:

Multiply the starting amount, by the percent, and them multiply by how many years (2600*0.03%*14)

I will give brainiest to whoever answers correctly !!

Answers

10 years would be 5905

50 years would be 11487

2x – 3y = -5
4x - 4y = -4
Is (2.3) a solution of the system?

Answers

Answer:

Yes.

Step-by-step explanation:

We'll substitute in the values in both equations.

[tex]2x-3y=-5[/tex]        [tex]4x-4y=-4[/tex]

[tex]2(2)-3(3)=-5[/tex]   [tex]4(2)-4(3)=-4[/tex]

Distribute.

[tex]4-9=-5[/tex]             [tex]8-12=-4[/tex]

Simplify.

[tex]-5=-5[/tex]                [tex]-4=-4[/tex]

Yes, it is a solution. You can plug the equations into Desmos to check.

Write in exponential form, then evaluate. (5)(5)(5)(5)(5)​

Answers

Answer:

5 by the power of 5

3125 is the answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}[/tex]

[tex]\huge\textbf{Solving for your equation:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}[/tex]

[tex]\large\textsf{= 25(25)(5)}[/tex]

[tex]\large\textsf{= 625(5)}[/tex]

[tex]\large\textsf{= 3,125}[/tex]

[tex]\huge\textbf{Or you could simply say:}[/tex]

[tex]\large\textsf{5(5)(5)(5)(5)}\\\uparrow\ \uparrow \ \ \ \uparrow \ \ \ \uparrow \ \ \uparrow\\\large\textsf{1 2 \ 3 \ \ 4 \ 5}\\\\\large\text{Seems to me that you have a 5 fives. So, most likely your exponent: }\\\large\boxed{\rm{5^5}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{{Original\ answer \rightarrow \frak{3,125}}}\huge\checkmark\\\\\\\huge\boxed{Exponenential\ form \rightarrow \frak{5^5}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Can someone PLEASEEE answer this for me I really need help :(

Answers

Answer: 850

Step-by-step explanation:

if  250 miles takes 5 gallons then 7 gallons may give you about 850.

It looks like your just adding on 2 more.

Answer:

350 miles

Step-by-step explanation:

5 gallons of gas - 250 miles

7 gallons of gas - [tex]\frac{7}{5}[/tex] × 250 miles = 350 miles

Please help me ASAP I’ll mark Brainly

Answers

The answer is 18 1,2,3,6,9,18

Will mark brainliest!!! Plz solve for each variable!!!

Answers

Answer:

the answer is

12 = y - 5

y=17

x+2 = 4

x=2

Jan is on a plane traveling at 600 mph. How far will she travel in 2.5 hours?

Answers

Answer:

Jan would have traveled about 1500 miles

6
If y varies directly as x and y = -7 when x = -28, find y when x = 20.
PLZ help ASAP








Answers

Answer:

5

Step-by-step explanation:

y ∝ x

y = k times x

where 'k' is constant

substitute y for -7 and x for -28

-7 = k times -28

-7 = -28k

Divide through by -28

[tex]\frac{-7}{-28}[/tex] = [tex]\frac{-28k}{-28}[/tex]

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

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

y = [tex]\frac{1}{4}[/tex] times 20

y = 5

 By using the proportionality relation, at x = 20 the value of y will be 5.

Calculations for the value of y from the proportional relation:

Given in the question → y ∝ x

                                       y = kx

                                       Here, k = Proportionaility constant

It's given, when x = -28, value of y = -7

By substituting these values in the expression,

-7 = k(-28)

[tex]k=\frac{-7}{-28}[/tex]

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

Therefore, given expression for the proportional relation will be,

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

If x = 20, we have to calculate the value of y,

Substitute x = 20 in the same expression,

[tex]y=\frac{1}{4}(20)[/tex]

y = 5

    Therefore, for the value of x = 20, value of y will be 5.

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If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1​

Answers

[tex]a = {5}^{x} \\ b = {5}^{y} \\ {a}^{y} \times {b}^{y} = 25 \\ prove \: ( {5}^{x} )^{y} \times ( {5}^{y} ) ^{x} = 25 \\ {5}^{xy} \times {5}^{yx} = {5}^{2} \\ {5 }^{xy + yx} = 5^{2} \\ 5^{2xy} = {5}^{2} \\ is \: \: 2xy = 2 \\ xy = \frac{2}{2} \\ xy = 1[/tex]

The prove that  xy is equal to 1 is given below.​

What is logarithm and some of its useful properties?

When you raise a number with an exponent, there comes a result.

Lets say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]log_a(c) b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

[tex]\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)[/tex]

Log with base e = 2.71828... is written as

ln(x)\ln(x)

simply.

Log with base 10 is written as

[tex]\log(x)[/tex]

We are given that;

a = 5^x, b = 5^y and a^y×b^x = 25.

Now,

To prove that xy = 1, we can use the properties of exponents and logarithms. Here are the steps:

1. Given that a = 5^x and b = 5^y, we can substitute these expressions into the equation a^y×b^x = 25 and get:

(5^x)^y × (5^y)^x = 25

2. Using the property that (a^b)^c = a^(bc), we can simplify the left-hand side of the equation and get:

5^(xy + yx) = 25

3. Using the property that a^b = c is equivalent to log_a(c) = b, we can take the logarithm of both sides of the equation with base 5 and get:

log_5(5^(xy + yx)) = log_5(25)

4. Using the property that log_a(a^b) = b, we can simplify the left-hand side of the equation and get:

xy + yx = log_5(25)

5. Using the property that log_a(b) = log_c(b) / log_c(a), we can change the base of the logarithm on the right-hand side of the equation to any other base, such as 10, and get:

xy + yx = log_10(25) / log_10(5)

6. Using a calculator or a table of logarithms, we can evaluate the right-hand side of the equation and get:

xy + yx ≈ 2 / 0.69897

7. Simplifying the fraction on the right-hand side of the equation, we get:

xy + yx ≈ 2.8614

8. Since xy and yx are symmetric, we can divide both sides of the equation by 2 and get:

(xy + yx) / 2 ≈ 2.8614 / 2

9. Simplifying both sides of the equation, we get:

xy ≈ 1.4307

10. Since x and y are integers, we can conclude that xy must be an integer as well. The only integer that is close to 1.4307 is 1.

Therefore, by logarithm properties we can say that xy = 1.

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can someone help me please look at picture

Answers

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

How many more pound of granola than banana chips does she buy? Item: Pretzels:7/8,Peanuts: 4/8, Raisins: 2/8,Banana chips: 3/8,Granola: 5/8​

Answers

Answer:

She buys 2/8 more pound of granola than banana chips

Step-by-step explanation:

What is the result of subtracting X^2-2x+3 from 3x^2+x-2

Answers

Answer:

answer is in photo. please try again yourself.

Hey did I do this right?

Answers

Answer:Yes

Step-by-step explanation:

8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Step 2

Follow Bodmas (Brackets, other, divide, multiply, add, subtract)

8+3*(4/2)-7
8+3*2-7
8+6-7
14-7
7
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