Find YZ and WZ in rectangle WXYZ.

Find YZ And WZ In Rectangle WXYZ.

Answers

Answer 1

Answer: WZ=10, YZ=15

Step-by-step explanation:

Find YZ And WZ In Rectangle WXYZ.

Related Questions

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. A rectangle is shown. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters. A vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. Lines are drawn from the bottom left point to the top of the vertical line and from the bottom right point to the top of the vertical line. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21. 2 m 27. 5 m 32. 5 m 38. 2 m.

Answers

Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters.

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

[tex]d_1=15\sqrt{2}\\d_1=21.213\rm\; m[/tex]

The length of the sidewalk in smaller rectangle in the right side of figure is,

[tex]d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m[/tex]

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

[tex]S=21.2+17\\S=38.2\rm\;m[/tex]

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer:

D 38.2

Step-by-step explanation:

E2020

Jill always buys the same kind of shampoo in an 11.5-ounce bottle. She is at the store buying more and sees that the bottle is now bigger and has 20% more for the same price. How many ounces of shampoo are in the new bottle.

Answers

Step-by-step explanation:

100% = 11.5

20% more means 120%

120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces

Which point on this number line has a coordinate of 7.47?

Number line from 7.0 to 8.0 with tick marks every 1 one hundredth unit. Tick marks are numbered every tenth unit. Point A is 3 tick marks to the right of 7.3. Point B is 3 tick marks to the right of 7.4. Point C is 7 tick marks to the right of 7.4. Point D is 4 tick marks to the right of 7.7.

Point A

Point B

Point C

Point D

Answers

Answer:

I think it is point D

Step-by-step explanation:

hope this helps if it is wrong please let me now

-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair

Answers

Answer:

(-10, 19)

Step-by-step explanation:

Hey there!

In order to find the value of x and y, you need to make a system of equations

Now the question says to use elimination

The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.

In this case, the step of making equal values is already done for us since there is 2y in both equations

[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]

What was done was called elimination

I added both equations together and when you add -2y and 2y, they eliminate each other

Now when you simplify the system, you get that x is equal to -10

Now we can substitute this value into the first or second equation

I am going to do the first equation

[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]

So after substituting the x value in the equation, we got the y value

Which is 19

So the solution to this system of equations is:

(-10, 19)

State the domain and range and determine if it's a function?


Answers

if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.

Range

well, is really how high and low it goes or namely over the y-axis.

well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be

[3 , +∞)

Domain

well, is simply how left and right it goes or namely over the x-axis.

judging from the arrowheads it moves from infinity to infinity, so

(-∞ , +∞).

does anyone know the answer to this question?

Answers

Answer:

c = 2.5 , d = - 3

Step-by-step explanation:

f(x) = cx + d

f(4) = 7 ( substitute x = 4 into the equation and equate to 7 )

f(10) = 22 ( substitute x = 10 into the equation and equate to 22 )

4c + d = 7 → (1)

10c + d = 22 → (2)

subtract (1) from (2) term by term to eliminate d

(10c - 4c) + (d - d) = 22 - 7 , that is

6c = 15 ( divide both sides by 6 )

c = 2.5

substitute c = 2.5 into (1) and solve for d

4(2.5) + d = 7

10 + d = 7 ( subtract 10 from both sides )

d = - 3

Answer:

c = 2.5

d = - 3

Step-by-step explanation:

f(x) = cx + d

f(4) = 7

f(10) = 22

4c + d = 7

10c + d = 22

(10c - 4c) + (d - d) = 22 - 7

6c = 15

---    ----

6      6

c = 2.5

4(2.5) + d = 7

10 + d = 7

-10       -10

d = - 3

Write the equation in standard form for the circle with center (0, -5) and radius 2

Answers

The standard equation for a circle is '[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h,k): coordinate for the center of the circle              --> (0,-5)r: radius                                                                        --> 2

      --> Standard form:

              [tex](x - )^2 +(y-(-5))^2=2^2\\x^2+(y+5)^2=4[/tex]

Hope that helps!

Answer:

x^2 + (y + 5)^2 = 4.

Step-by-step explanation:

Standard form is (x - a)^2 + (y - b)^2 = r^2

 - where (a, b) is the center and radius = r.

So our equation is:

(x - 0)^2 + (y - (-5))^2 = 2^2

x^2 + (y + 5)^2 = 4.

I need help with the working

Answers

Answer:

288 cm^3.

Step-by-step explanation:

The volume of each small  square = 2*2*2 = 8 cm^3

Each rectangular length of end 2*2 is made up of 12/2 = 6 squares.

There are  6 of these rectangular lengths.

So the volume = 6 * 6 * 8 cm^3

288 cm^3.

i need help with this hard question

Answers

Answer:

Bottom left = 8

Top right = 15

Middle right = 25

Step-by-step explanation:

Total = 40

3 + 5 = 8

40 / 8 = 5

1 part = 5

5 x 3 = 15

5² = 25

Find the solution of the system of equations.
-
5x – 4y = -9
10x– 7y = -22

Answers

Answer:

x = -5

y = -4

Step-by-step explanation:

5x - 4y = -9

10x - 8y = -18

10x - 7y = -22

-y = 4

y = -4

Substitue y into any equation

5x - (-16) = -9

5x = -25

x = -5

Is -2 a whole number or irrational number?

Answers

Answer:

It is neither.

Step-by-step explanation:

A whole number is all numbers is 0, 1, 2, 3, 4.... you get it

An irrational number is a number that cannot be written as a fraction and -2 can be written as -2/1

What is the best first step in solving the equation 3 +[tex]3\sqrt[6]{x}[/tex] = 5?

Answers

[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]

bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be attached to keep the gate rigid what is the length of wood bellany needs to cut for the brace leave your answer in simplified radical form

Answers

The length of the diagonal is the hypotenuse of the fence

The length of the wood is [tex]7\sqrt{ 2[/tex] yards

How to determine the length of the wood?

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

[tex]L = \sqrt{a^2 + b^2[/tex]

This gives

[tex]L = \sqrt{7^2 + 7^2[/tex]

Express as products

[tex]L = \sqrt{7^2 * 2[/tex]

Express as radical

[tex]L = 7\sqrt{ 2[/tex]

Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards

Read more about diagonals at:

https://brainly.com/question/10187910

Write the log equation as an exponential equation. You do not need to solve for x.
In (3x + 2) = 3x

Answers

[tex]\ln(3x+2) = 3x\\\\\implies \log_e (3x+2) = 3x\\\\\implies e^{3x} = 3x+2[/tex]

A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?

Answers

Answer:

4 red marbles

Step-by-step explanation:

r is the number of red marbles then green marbles is 9r , so

r + 9r = 40

10r = 40 ( divide both sides by 10 )

r = 4

there are 4 red marbles

What is the value of x?

Answers

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

Answer:

x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

72/9 = 56/(3x - 20)8 = 56/(3x - 20)3x - 20 = 56/83x - 20 = 73x = 27x = 9

Swimming Pool On a certain hot summer's day, 163 people used
the public swimming pool. The daily prices are $1.25 for children
and $2.00 for adults. The receipts for admission totaled $257.00.
How many children and how many adults swam at the public pool
that day?
There were
children at the public pool.

Answers

Approximately 21 children and 142 adults

573,297.88 rounded to the nearest 10

Answers

Answer:

573,300.00 to the nearest 10

Step-by-step explanation:

Please assist. No links or your account is getting banned

Answers

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~

Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm

Answers

Answer:

210 cm sq

Step-by-step explanation:

Area of a triangle is 1/2bh.

12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).

1/2*12*35=210 cm sq

How many degrees are in 25π18?

Answers

Answer:

[tex]\displaystyle 250°[/tex]

Explanation:

When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:

[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]

I am joyous to assist you at any time.

Use the spinner to answer the question. It is divided into 8 congruent sections. Orange, Blue, Pink, Brown, Purple, Red, Bronze, Black. Determine whether the statement is true or false. After 96 spins, Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times.

Answers

Using proportions, it is found that the statement that Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times is True.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 8 sections, 4(Blue, Brown, Bronze and Black) begin with letter "B". We want to find the equivalent amount out of 98 trials. Hence, the rule of three is:

8 trials - 4 start with "B".

96 trials - n start with "B".

Applying cross multiplication:

8n = 4 x 96

n = 0.5 x 96

n = 48.

Hence, the statement is True.

More can be learned about proportions at https://brainly.com/question/24372153

A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.

1. Write an equation to represent the area of the pool and deck combined.

2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?

Answers

Answer:

1)   area = (x + 3)(2x + 3) ft²

2)   299 ft²

Step-by-step explanation:

Question 1

Area of a rectangle = width x length

Given:

width = x + 3length = 2x + 3

⇒ area = (x + 3)(2x + 3) ft²

Question 2

If x = 10:

⇒ area = (10 + 3)(2(10) + 3)

            = 13 · 23

            = 299 ft²

#1

New dimensions=x+3 and 2x+3ft

So

Area:-

Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2

#2

Put x=10

2(10)^2+9(10)+92(100)+90+9200+99299ft^2

HELP HELP HELP HELO HELP HELP HELP

Answers

This function is Exponential

 

Reason:  Exponential graphs tend to get very big quickly, and though they start out smaller than polynomial functions or vice versa

Hope that helps!

4) What is the slope of the line joining (7, 8) and (17, 13)​

Answers

slope is = (13 - 8) / (17 - 7) = 5/10 = 1/2 or 0,5

slope for A (xa ; ya) and B (xb ; yb) = (yb - ya) / (xb - xa)

Find the area of the regular polygon. Give the answer to the nearest tenth.
Square with a radius of 13 m.

Answers

Answer:

338 m^2

Hope this helps!

If this helps please show your thanks by marking brainliest ;)

Find the simple interest earned to the nearest cent for each principal, interest rate, and time 1,050, 4.6%, two years

Answers

Answer:

The interest earned is $96.60

Step-by-step explanation:

Since we are working the a simple interest problem, we will use the formula

[tex]I=Prt[/tex],

Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:

[tex]4.6\div 100 = 0.046[/tex]

From our given information and our decimal rate, we have:

[tex]P=1050\\r=0.046\\t=2[/tex]

Substituting these into our equation, we get:

[tex]I=1050(0.046)(2)\\I=96.6[/tex]

We write that as $96.60 in context of the problem.

Answer:

principle (p)=RS 1,050

Rate(R)=4.6

time(T)=2years

we know that

I=P×R×I/100

=1050×4.6×2/100

=9660/100

=96.6

therefore the earned simple interest is RS.96.6

This year Heather watched 20 movies. She thought that 9 of them were very good. Of the movies she watched, what percentage did she rate as very good?

Answers

Answer:

45%

Step-by-step explanation:

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I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!!

SOLVE THIS SYSTEM OF EQUATIONS BY USING THE ELIMINATION METHOD.
3x + 2y = 6
-3x + y + 12

the ordered pair of solutions is written in the format (x, y)

([x], [y])

Answers

[tex]3x + 2y = 6[/tex]

[tex] - 3x + y = 12[/tex]

Add the systems:

[tex]3x - 3x + 2y + y = 6 + 12[/tex]

[tex]3y = 18[/tex]

[tex]y = \frac{18}{3} = 6[/tex]

Replace y=6 in any equation:

[tex]3x + 2y = 6[/tex]

[tex]3x + 2(6) = 6[/tex]

[tex]3x + 12 = 6[/tex]

[tex]3x = 6 - 12[/tex]

[tex]3x = - 6[/tex]

[tex]x = \frac{ - 6}{3} = - 2[/tex]

Pair: ( -2 , 6 )

Kim says that 1/4 x 12 is the same as dividing 12 by 4 do you agree with Kim? explain your answer.

Answers

Answer:

yes i do

Step-by-step explanation:

1/4 x 12= 3

12 divided by 4 = 3

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