2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.

2. Determine If The Two Quadrilaterals Are Similar,if They Are, State The Scale Factor.

Answers

Answer 1

Answer:

Yes, they are similar. The scale factor is 5/3

Step-by-step explanation:

The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK

The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR

If the two quadrilaterals are similar, the following proportion must be satisfied:

JM = k*QP

ML = k*PS

KJ = k*RQ

LK  = k*SR

where k is the scale factor. Solving for k and replacing with lengths:

k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3

From the figure, we can also see that:

∠M ≅ ∠P

∠L ≅ ∠S

∠R ≅ ∠K

∠Q ≅ ∠J

Therefore, the two quadrilaterals are similar.


Related Questions


The last time Andy went bowling he had a mean score of 158
per game.
After three games Andy has a total score of 473. He thinks he
needs to score over 160 in game four to get a mean score
greater than 158.
(a) Is Andy correct?
Show why you think this.
Show a check of your working.
Your answer:​

Answers

Answer:

no

Step-by-step explanation:

suppose he will get exactly the score of 160 in the game four, the mean score this time will be (473+160)/4=158.25

which has already reached the mean score 158 and even higher than it

therefore, his statement is wrong

Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4

Answers

Answer:

(12,-2), (10,-1), (8,0), (6,1) and (4,2).

Step-by-step explanation:

If a function is defined as

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

then its inverse is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

It means coordinates of ordered pairs are interchanged.

From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).

Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).

Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).

what is the absolute value of l 10 - 11 l =

Answers

Answer:

1

Step-by-step explanation:

l 10 - 11 l = |-1|= 1

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\left|10-11\right|[/tex]

[tex]\left|-1\right|[/tex]

[tex]=1[/tex]

please help! urgent

The cost of renting a community center is $100, with and additional $10 per guest.

Which graph has the most appropriate scales and units for this situation? (pictures attached)​

Answers

Answer:

I think it is A

Step-by-step explanation:

the reason i am saying A is that you don't really know how many guests are coming it could be 10 or 15 or even more.

Answer:

Ok so it is A, I'm almost positive because the first fee is 100 but if you add ten people it is two hundred. the price is DEPENDANT on the amount of people so people is the Independent variable or (x) and cost is the dependent variable or (y) graph A lines up perfectly because if you have ten additional people you have 10 x the cost per person wich = 10 and 10 x 10=100, if you start with 100 as the base cost and add 100 in additional people you will owe 200

Step-by-step explanation:

HOLD ON if you are taking this test in plato/edmentum it will be a diffrent answer but the same graph, just try to find the same graph as graph A

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)

Answers

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)

A piece of duct measures 48 inches. When pieces are fitted together, 1 12
inches is lost connecting each successive length of duct. On the job 7 and
12 pieces of ducting are used. What, in inches is the total length of the
finished duct?

Answers

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)

So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier)  for the connections, the length is:

L = 7*48in - 5*1.5in = 328.5 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.5in = 561 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:

L = 561in + 328.5in - 1.5in = 888in

Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3

Answers

Answer:

  (7x +6y)(49x^2 -42xy +36y^2)

Step-by-step explanation:

The factoring of the sum of cubes is a special form:

  a³ +b³ = (a +b)(a² -ab +b²)

We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.

Identifying the cubes

From our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...

  343x³ +216y³ = (7x)³ +(6y)³

Application

Our factoring pattern above can be used with ...

a = 7xb = 6y

Substituting these values, we have ...

  343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)

  343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour

Answers

Answer:

D

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(390-260)/(6-4)

m=130/2

m=65/1

every hour, a car travels 65 miles

D

Answer:

65/1

Step-by-step explanation:

Please Help!!! DUE NOW!

Answers

Answer: 37

Step by step explanation:

y+29+40+2y=180°( sum of angle in straight line)

or, y+2y+29+40=180°

or,3y+69=180

or,3y=180-69

or,3y=111

or,y=111/3

y=37

hope it helps

Good luck on your assignment

2 Points

A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts

are drawn from a single deck. In order to win, the next card the player draws

from the deck must be higher than the highest card already drawn. What is

the probability that the next card the player draws is a winning card? (An ace

is considered to have a value of 1 and jacks, queens, and kings have a value

of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,

9,10,J,Q,K,

A. 25%

B. 24%

C. 32.6%

D. 8%

Answers

Answer:

C) 32.6%

Step-by-step explanation:

Given:

Total number of cards = 52

3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.

To win the next card drawn must be greater than the highest card already drawn.

Required:

Find the probability of winning

Here, the highest card already drawn is 9 of spades or 9 of hearts.

The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.

Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).

Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]

Convert to percentage:

0.326 * 100 = 32.6%

Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.

Answers

Answer:

A(√2) would be the correct answer.

Answer:

[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?

Equation:

Answers

Answer:

$246

Step-by-step explanation:

30 + 18(12)=

30 + 216

246

Answer:

30+12*18=246

Step-by-step explanation:

İf the bill 18 dollars for month, it's equals 216 from 12*18.

And the start-fee is 30  dollars. Then 216+30=246

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Answers

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.

Answers

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers

Answers

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33

Answers

Answer:

The length of side A is 12 cm

Step-by-step explanation:

This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.

Given

Side A corresponds to 24 cm

Length 6 cm corresponds to Length 12 cm

Required

Find A

The given parameters can be represented mathematically as;

[tex]\frac{A}{24} = \frac{6}{12}[/tex]

With this expression, the value of A can be easily solved

First; multiply both sides by 24

[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]

[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6}{12} * 24[/tex]

[tex]A = \frac{6 * 24}{12}[/tex]

[tex]A = \frac{144}{12}[/tex]

[tex]A =12[/tex]

Hence, the length of side A is 12 cm

Answer:

ANSWER:A

Step-by-step explanation:

ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!

byeeeeee:)

<3

Simplify 2x + x. What is the answer to this?

Answers

Answer:

3x

Step-by-step explanation:

2x+x = 3x

Answer:

3x

Step-by-step explanation:

2x + x.

Factor out the x

x(2+1)

x(3)

3x

A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.

Answers

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

I am giving you some data, I want you to make up 2 questions about probability using that data.

You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.

Answers

Answer:

What’s the probability of choosing a tutti fruitti and a cherry jelly bean?

What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?

Step-by-step explanation:

The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.

Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Total cost = equipment cost + monthly fee × number of months

Let C = total cost

and e = equipment cost

and f = monthly fee

and x = number of months. Then

C = e + f·x  

The condition is that C ≤ $175 or

e + f·x ≤ $175

1. NetGear

e = $99; f = $5/mo

The condition is  

99 + 5x ≤ 175

[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for 15 mo.

They would pay $99 for the equipment.

Fifteen months rental at $5/mo = $75.

Total cost = $174.

2. Anytime Games

e = $19; f = $19/mo

The condition is  

19 + 19x ≤ 175

[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for eight months.

They would pay $19 for the equipment.

Eight months rental at $19/mo = $152.

Total cost = $171.

3. Recommendation

The Community Centre should rent from NetGear.

They can rent for 15 mo without going over the budget.

With the other company, they can rent for only eight months.

The graphs below show how the costs for the two companies vary with the number of months.

Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.  

assemble the proof by dragging tiles HELP ASAP PLEASE!!!!

Answers

what you have to do is move C a little bit down to make it at 26 and than make A , B , and D straight , Hope this helps you , I tried my best

Please help me with the question

Answers

Answer:

C

Step-by-step explanation:

5a+ 18 < -27

Subtract 18 from each side

5a+18-18 < -27-18

5a < -45

Divide each side by 5

5a/5 < -45/5

a < -9

Open circle at 9, line doing to the left

Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse

34°, acute
134°, obtuse
44°, right
54°, acute

Answers

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i

Answers

Answer:

not sure if this is a right answer. but hope this helps

Step-by-step explanation:

The roots of the given quadratic equation are x=-1.6 and x=-6.4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

here, we have,

given that,

The given equation is x² - 8x + 41 =0.

The given equation can be solved using quadratic equation formula.

Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.

Quadratic equation formula x = -b±√b² - 4ac / 2a

Now, x= -8 ± √ 64 - 41 / 2×1

⇒ x= -8 ± √23 / 2

⇒ x= -8 ± 4.8 /2

⇒ x=-1.6 or x=-6.4

Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.

To learn more about the quadratic equation visit:

brainly.com/question/1863222.

#SPJ7

Question 3(Multiple Choice Worth 1 points)

(08.05 MC)

The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?

g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2

Answers

Answer:

[tex]g(x)=(x+3)^2[/tex] best describes g(x)

Step-by-step explanation:

We are given an equation of graph[tex]f(x)=x^2[/tex]

Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)

Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).

So, By using rule :

[tex]f(x+3)=(x+3)^2[/tex]

So, [tex]g(x)=(x+3)^2[/tex]

So, Option A is true

Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)

Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

Step-by-step explanation:

The given function is

[tex]f(x)=(x-1)(x+7)[/tex]

Zeroes of the function are

[tex](x-1)(x+7)=0[/tex]

[tex]x=-7,1[/tex]

It means, f(x) intersect x-axis at x=-7 and x=1.

Mid value of -7 and 1 is the x-coordinate of the vertex.

[tex]\dfrac{-7+1}{2}=-3[/tex]

At x=-3,

[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]

So, the vertex of the function is at (-3,-16).

The given function can be written as

[tex]f(x)=x^2+7x-x-7[/tex]

[tex]f(x)=x^2+6x-7[/tex]

Here leading coefficient is negative, it means it is an upward parabola.

So, we conclude that

1. The graph is increasing on the interval x > -3.

2. The graph is decreasing on the interval x < -3.

3. The graph is positive only on the intervals where x <-7 and where x > 1.

4. The graph is negative only on the intervals where -7 < x < 1.

Therefore, the correct options are 2, 3 and 4.

Answer:

THE CORRECT ANSWERS ARE 2,3,4!

Step-by-step explanation:

TOOK THE TEST ON EDGE

The perimeter of a rectangle field is 48 yards. The length is 6 yards more than the width. Find the length and width of the rectangle field.

A. Length = 10 yards; width = 4 yards
B. Length = 11 yards; width = 5 yards
C. Length = 15 yards; width = 9 yards
D. Length = 9 yards; width = 3 yards

Answers

Answer:

C. Length = 15 yards; width = 9 yards

Step-by-step explanation:

When you multiply the length and width by two and add them together, this answer is the only one that results in 48.

A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.

Please show workings.​

Answers

Answer:

L*b

6*4

24cm

L*b*h

14.6m *1.2cm *8.4cm

=147.168

Answer:

This is the answer to No 1.

Volume= 48√5

what is the value for Z

Answers

Answer: z = 28 degrees

Step-by-step explanation:

Since this is an isosceles triangle, two of the angles are congruent.

180 - 124 = 56

56/2 = 28

Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.

Answers

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

please mark me brainliest:)

Other Questions
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