Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Quadrilateral LMNO Is Similar To Quadrilateral PQRS. Find The Measure Of Side QR.Roundyour Answer To

Answers

Answer 1

Answer:

The measure of the side [tex]QR[/tex] is 8.8.

Step-by-step explanation:

Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:

[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio.

If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:

[tex]k = \frac{OL}{SP}[/tex] (1b)

[tex]k = \frac{55}{13}[/tex]

[tex]k = \frac{MN}{QR}[/tex]

[tex]QR = \frac{MN}{k}[/tex] (1c)

[tex]QR = \frac{37}{\frac{55}{13} }[/tex]

[tex]QR = 8.745[/tex]

The measure of the side [tex]QR[/tex] is 8.8.


Related Questions

How many Hostel rooms have 11 or fewer guest

Answers

There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.

What does the word guest really mean?

A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.

What does the term "hotel guest" mean?

A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.

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2/3x - 5 = 1/2x - 3
X=

Answers

Answer:

x=12

Step-by-step explanation:

[tex]\frac{2}{3}x-5=\frac{1}{2}x-3\\\\\frac{2}{3}x-\frac{1}{2}=-3+5\\\\ \\\frac{4}{6}x-\frac{3}{6}=2\\\\\frac{1}{6}x=2\\ \\x=12[/tex]

A house has increased in value by 35% since it was purchased. If the current value is 648,000, what was the value when it was purchased?

Answers

Answer:

Purchase rate of the house is $480000.

Step-by-step explanation:

Let the purchase rate of the house = $p

Current value of the house = $648000

If the current rate of the house has increased by 35% of the purchase rate,

Current rate = Purchase rate +  35% of the purchase rate

648000 = p + (35% of p)

648000 = p + [tex]p\times \frac{35}{100}[/tex]

648000 = p + 0.35p

648000 = (1.35)p

p = [tex]\frac{648000}{1.35}[/tex]

p = $480000

Therefore, purchase rate of the house is $480000.

Which set of numbers contains only rational numbers?

Answers

Answer:

A because of the Earth or D because of you

A discipline committee is selected by placing the names or 12 teachers in a bag and than randomly drawing 3 of the names it there are 7 math teachers and 5 english teachers what is the probility that the committee will be made up of all math teachers a7/44 b7/12 c35/288 d7/288

Answers

Answer:

b

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the committee will be made up of all math teachers  = total number of maths teacher / total number of teachers

7 / 12

Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.​

Answers

Answer:

3f + d or d +3f

how much is 5 interest of 500.00

Answers

Answer:

100.0

Step-by-step explanation:

because if you round divide that you get

I will mark you brainiest if you an answer this

Answers

Answer:

the awnswer is a = 7 + c

Step-by-step explanation:

A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?

Answers

Answer:

[tex]h_t=9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of child [tex]h_c=3ft[/tex]

Height of child's shadow  [tex]h_c_s=2ft[/tex]

Height of tree's shadow [tex]h_t_s=6ft[/tex]

Since position of Sun remains constant  

Generally the equation for Height of tree h_t mathematically given by

 [tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]

 [tex]h_t=6*\frac{3}{2}[/tex]

 [tex]h_t=9ft[/tex]

convert 23 m into mm

Answers

Answer: It is 23,000 Millimeters

Step-by-step explanation:

23 Meters =  23,000 Millimeters

Answer: maybe 2mm?

Step-by-step explanation:

A room is 8 meters long how many centimeters is the room

Answers

Answer: 800 cm

Step-by-step explanation:

8x100= 800cm

you multiply 100 times how many meters you have youll get centimeters

Answer:

800

Step-by-step explanation:

Multiply the length value by 100

For a car traveling at a speed of 50 miles per hour, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d = 50t. Which statement is true?

A) The time traveled depends on the distance traveled
B) The speed of the car depends on the distance traveled
C) The distance traveled depends on the time traveled
D)The speed of the car depends on the time traveled.​

Answers

Answer:

B) The speed of the car depends on the distance traveled

256,934
What is value of the digit 5

Answers

Step-by-step explanation:

256,934

What is value of the digit 5

ten thousand

Answer:

[tex] \huge\red{\boxed{\mathfrak{Answer}}}[/tex]

➳ Value of 5 = 50, 000 or Fifty Thousand.

✏ Place Value - It's in ten thousand's place.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

What is the circumference of this circle?

Answers

the answer is a i believe

Answer:

Hey Love! Answer: 12.56

Step-by-step explanation:

Hope this helps!

i'll really appreciate some help! thank you! ln(4x-9)=-5​

Answers

Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

A rectangular lawn is 14 meters by 21 meters. It would cost $6.32 per meter to install a fence around
the lawn. How much would it cost to put a fence around the lawn?
$

Answers

Answer:

$442.40

Step-by-step explanation:

14x2=28

21x2=42

42+28=70

70x6.32=442.4

What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters

Answers

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.

Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.

Answers

Answer:

The answer is "12 inches".

Step-by-step explanation:

Please find the image file of the graph.

We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.

[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].

We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.

They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.

Thus, if the perimeter is 32, the following is the result:

[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]

Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]

What is the distance between the following points?

Answers

Answer:

square rt  of 97 = 9.84886

Step-by-step explanation:

How many solutions are there to this nonlinear system?

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Answers

C because it doesn’t intersect with the parabola
B. One solution

There’s only one spot where both lines meet to form a common point.

How much did it cost trudy to get the loan for $500

Answers

Answer:

850

Step-by-step explanation:

500 times 0.7 plus 500

CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!!

Answers

Answer:

(1.5,1) is the coordinate for point D

Answer:

point D = (1.5,2)

Step-by-step explanation:

The first number in the parentheses is the X coordinate, in this case it's 1.5

The first second in the parentheses is the Y coordinate, in this case it's 2

Find the perimeter of the figure. PLEASE HELP ASAP I’LL MARK BRAINLIEST

Answers

Answer:

I believe it should be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

hope this helps!

An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).

Answers

Answer:

Step-by-step explanation:

Putting value of n = 12

f(12) = 128 + 15(12 - 1)

= 128 + 180 - 15

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y
X A (4, 7)
B (2, 3)

Answers

Answer:

y = 2x - 1.

Step-by-step explanation:

The slope = (7-3)/(4-2)

= 4/2

= 2.

y - y1 = m(x - x1)

Here m = 2 , x1 = 2 and y1 = 3. So we have:

y - 3 = 2(x - 2)

y = 2x - 4 + 3

y = 2x - 1.

We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.

Answer:

y - 3 = 2(x - 2)

Step-by-step explanation:

As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7.  Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.

Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:

y - 3 = 2(x - 2)

How do you find this answer?

Answers

Answer:

if we use Pythagorean method, we  could know that A^2+B^2=C^2, so 5^2+12^2 equals 169, and 169 is 13^2

Step-by-step explanation:

please do step by step:
-x^2+4x+1

Answers

Answer:

− ( x ^2 − 4 x − 1 )

Step-by-step explanation:

A. W,R,B

B. A,R,B

C. W,T,B

D. A,T,N

HELP ASAPP AND DONT GIVE ME A LINK BECAUSE THE LINK IS FAKE I NEED A REAL ANSWER !!!!

Answers

Answer:

B. A,R,B

Step-by-step explanation:

please mark this answer as brainliest

What is the vertex for this function? y=2x2−12x+16

Answers

Answer:

(3,-2)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex

What is the value of X
What is the value of Y


I will crown u and give you 20 extra points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.

5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.

B isn't true. Vertical angles are congruent to each other, not supplementary.

C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°

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