How to solve stacked similar figures

Answers

Answer 1

Answer:

Step-by-step explanation:

You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.

similar polygons: For two polygons to be similar, both of the following must be true:

Corresponding angles are congruent.

Corresponding sides are proportional.

To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.


Related Questions

please help me!!!!!!!!!

Answers

Answer:

what is it asking like what is the step to do that i think i did that like back in 6th grade or something

Answer:

input output

0        -2

1         3

4        18

6        33

10       48

20      98

Step-by-step explanation:

solve x3 = 8. A. x = 2.8. B. x = 2. C. x = 4. D. x = 8/3

Answers

Answer:

Option B x=2

Step-by-step explanation:

Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2

Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a basket, 3 points are added to their respective scores. Durant has 18 points and Westbrook has 12 points. Which of the following options has the pair of explicit formulas that represents the number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n

please tell me how you got it thanks <3

Answers

i think its C

:) :) :) :) :) :) :)

Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62

Answers

Answer:

0.26, 0.62, 2.06, 2.6, 6.2

0.26 , 0.62 , 2.06 , 2.6 , 6.2

Write the equation
(0,5)
(2.0)

Answers

the answer will be y=-5/2x+5

Which of these expresses the distributive property?

a) (a + b) + c = a +( b + c)
c) a(bc) = (ab)c
d) a( b + c) = ab + ac

Answers

9514 1404 393

Answer:

  d)  a(b + c) = ab + ac

Step-by-step explanation:

The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...

  a(b + c) = ab + ac

How many solutions does this system of equations
have?

A: Infinitely many
B: Exactly two
C: None
D: Exactly one

Answers

Answer

d i think

Step-by-step explanation:

almost positive there are two equations.

8x=24
Solve the equation for x

Answers

Answer:

x=3

Step-by-step explanation:

Divide both sides by 8.

Answer:

3

Step-by-step explanation:

8x3=24..............

Rewrite the expression by factoring out (w-5)

Answers

Answer:

(w - 5)(2w² + 7)

Step-by-step explanation:

Given

2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term

= (w - 5)(2w² + 7)

Lucille has an aquarium with 9 gallons of water which weighs 85 pounds. The stand holding the aquarium can hold no more than 112 pounds. She wants to add 2.5-pound rocks, r, her tank. Complete the inequality to show how many rocks she can add.

Answers

Answer:

7.1

Step-by-step explanation:

Write in standard form 8x2−5+7x4−9x−x5


Please explain i don't understand

Answers

this is the standard form of your question.

The standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To write the given expression in standard form, we need to arrange the terms in descending order of their exponents (from highest to lowest).

So we start by rearranging the given expression as:

x⁵+ 7x⁴ + 8x² - 9x - 5

Now the terms are ordered from highest to lowest exponent.

Now we need to rewrite the expression by collecting like terms and arranging the coefficients in descending order of exponent.

The standard form of the expression is:

x⁵+ 7x⁴ + 8x² - 9x - 5

Hence, the standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ3

what is the slope of (4,3) and (1,-1) the line is positive

Answers

The slope would be 1.33

A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?

Answers

660
Explanation
120x1.1=132
132x5= 660

Find the slope and the y-intercept of the graph of the linear equation.
- 2x + y = 4

Answers

Make it y = mx + b
y = 2x + 4
The slope is 2
The y intercept is 4

Answer:

y=2x+4

Step-by-step explanation:

The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?

Answers

Answer:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Step-by-step explanation:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Answer:

Step-by-step explanation:

Remark

This problem only wants to know how many ways to select 7 starting from a base of 11.

Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.

That problem is a combination and is written as

(11)/(7)

The formula used is

11! / (7! (11 - 7)! )

11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out

11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330

the sizes of the angles in degrees of the quadrilateral are
x+10
2x
x+30
x+80

a) use this information to write down and equation in terms of x
b) use your answer to part a to work out the size of the smallest angle of the quadrilateral

Answers

Answer:

5x+120

Step-by-step explanation:

first you add the 2x x and x and x that would get you 5x and then add the 20 and 10 and 80 that would get you 120

Can you show steps on how to do 2 – 8x = -22 ? Thank you!

Answers

Answer:

x squared = 8x

Step-by-step explanation:

Move

8

x

to the left side of the equation by subtracting it from both sides.

x

2

8

x

=

0

Factor

x

out of

x

2

8

x

.

Tap for more steps...

x

(

x

8

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

x

8

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

8

The final solution is all the values that make

x

(

x

8

)

=

0

true.

x

=

0

,

8

Another name for Rotation is slide.
True
False

Answers

False:

A rotation is the action of rotating around an axis or center.

A slide means to move along a smooth surface while maintaining continuous contact with it.

Sam went on a hike. He hiked in a straight line 6.4 km east, then walked in a straight
line going south for 4.6 km. Determine how far Sam was from his starting point at
this point in his hike, rounded to the nearest tenth of a km. Show all of your steps.

Please I need help asap

Answers

Answer:

he walked 11.0km the nearest tenth would be 10.0km

Step-by-step explanation:

hope this helps

2x-y=-2 what is the answer for y?

Answers

The answer is Y=2+2x

Answer:

x2+2=Y

Step-by-step explanation:

I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form

Answers

Answer:

y=-4x+2

hope this helped

how to write k/3 + 16 in words

Answers

Answer:

k divided by three plus sixteen

someone help me please. Suppose you are preparing a snack mix. You want the total protein from peanuts and granola to equal 28 grams. peanuts have 7grams of protein per ounce, and granola has 3 grams of protein content of your mix.
(a)write an equation for the protein content of your mix.
(b) graph your equation. use your graph to find how many ounces of granola you should use if you use 1 ounce of peanuts.​

Answers

Answer:

I'm so sorry all i can do is encourage you.

Step-by-step explanation:

I hope you get the right answer and have a nice day!

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

Mazie bought a bike during a 20% off sale and saved $16. What was the original price?

Answers

Answer:

$80. Which means she spent $64 with the sale, but the original price is $80.

Step-by-step explanation:

16 is 20% of 80

Answer

The answer is $120.00

Options

What was the price of the bicycle when Mazie bought it?

$140.00

$149.80

$130.00

$120.00

Explanation

Multiply the price of the bike by the discount percentage

150 * 0.20 = 30

Subtract the number you just found from the original price

150 - 30 = 120

There is your answer

You could take a shortcut by doing the following

1 - 0.20 = 0.80

Then multiply the original value by the new percentage

150 * 0.80 = 120

Personally I like the first method because it makes more sense.

9 is 150% of what number​

Answers

Answer:

13.5

Step-by-step explanation:

150% × 9 =

(150 ÷ 100) × 9 =

(150 × 9) ÷ 100 =

1,350 ÷ 100 =

13.5

My proof :

If 150% × 9 = 13.5 =>

Divide 13.5 by 9... ... And see if we get as a result: 150%.

Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.

If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?

PLs answer and epxlain how you got it

Answers

Answer: $22

Step-by-step explanation:

The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.

23 * 8 = 184 ft^2

Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).

184 * 2 = 368 ft^2

Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.

One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.

368 / 320 = 1.15 gallons

To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:

2 * 11 = $22

Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65

A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the​ jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000​ ft? b. How long is the jumper in free fall if the parachute opens at ​ft? c. What is a reasonable domain and range for the function​ h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft

Answers

Answer:

a) The jumper opens the parachute in 7.5 seconds.

b) The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

Step-by-step explanation:

Note: The equation presented in statement is incorrect. The correct formula for free fall is:

[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height above the ground, measured in feet.

a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 1000[/tex]

[tex]16\cdot t^{2} = 900[/tex]

[tex]t = 7.5\,s[/tex]

The jumper opens the parachute in 7.5 seconds.

b) How long is the jumper in free fall if the parachute opens at 950 ​ft?

If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 950[/tex]

[tex]16\cdot t^{2} = 950[/tex]

[tex]t \approx 7.706\,s[/tex]

The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

I WILL GIVE BRAINLY!!!!!!!!!


Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y


PLSSSS SHOW YOUR WORK PLSSSS

Answers

Answer: C. 5(6) + 0.65y

Step-by-step explanation:

Process of elimination.

65% of y = 0.65y

A has 65y, completely incorrect.

B has 6y, also completely incorrect.

C has 0.65y, correct.

D has 1.65y, also completely incorrect.  

X^2-x-12, please show your work so I can know how to do it. Thank you:))

Answers

you have to split the -x into 2 numbers that multiply to the same product as the two outside numbers so x^2+3x-4x-12
then split it and factor x(x+3)-4(x+3)
then you get (x-4)(x+3)
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