Write a similarity statement comparing the three triangles in the diagram
P R S Q

Write A Similarity Statement Comparing The Three Triangles In The DiagramP R S Q

Answers

Answer 1

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM


Related Questions

En un parque hay una tienda donde se alquilan patines a 0,50€ la hora, monopatines a 1€ la hora y bicicletas a 2€ la hora.

Answers

Pregunta completa:

En un parque hay una tienda donde se alquilan patines a 0,50 € la hora; Patinetas a 1 € la hora y bicicletas a 2 € la hora. ¿Cuál es la ecuación de los costos en función del tiempo empleado en cada uno de los casos?

Respuesta:

C (t) = 0,50 billones de euros; C (t) = € t; C (t) = 2 billones de euros

Explicación paso a paso:

Dada la siguiente tarifa de alquiler:

Patines = 0,50 € por hora

Patinetas = 1 € por hora

Bicicletas = 2 € la hora

La ecuación de costo en función del tiempo en cada caso se puede expresar como:

Costo en función del tiempo; Connecticut)

Donde, t = tiempo

Costo, C (t) = costo por hora * Número de horas

C (t) para patines:

C (t) = 0,50 t €

Costo ; C (t) para patinetas:

C (t) = € t

Costo ; C (t) para bicicletas;

C (t) = 2 billones de euros

Do you know this??
I’m confused

Answers

Answer:

1: B

2: A

3: D

4: C

Step-by-step explanation:

In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.

Example 1:

3/4 ÷ 1/2

3/4 x 2/1

= 3/2

= 1 1/2

Example 2:

1 1/2 ÷ 1/2

3/2 ÷ 1/2

3/2 x 2/1

= 6/2

= 3


Use the Subtraction Property of Equality to complete the following statement:
If 10x+6 - 21, then____=15

A.) 10x - 6
B.) 10x + 6
C.) 10x
D.) 1.5

Answers

Answer:

Assuming the question is "If 10x+6 = 21" with an equation sign in place of the subtraction:

C.) 10x

Step-by-step explanation:

10x + 6 = 21

10x + 6 - 6 = 21 - 6

10x = 15

Evaluate:
Σ18/1 (5n– 4) = [? ]

Answers

Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.

I will get you started.

Let n = 1 and then n = 2.

5(1) - 4 + 5(2) - 4 + the rest

5 - 4 + 10 - 4 + the rest

1 + 6 + the rest

7 + the rest

Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.

pls help....which of them is it and no link or I will report​

Answers

Answer W = 39/4
9 would be the answer

I need help can someone help me pls

Answers

Answer:

D: 25 miles

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^{2} + b^2 = c^2[/tex]

36^2 + b^2  =  39^2

1,296 + b^2  =  1,521

b^2  =  225

b  =  25

how much markup is $75 to $180

Answers

Answer:

105

Step-by-step explanation:

75+105 =180

YALL PLEASEE HELP MEE i am very confused and I need to pass this​

Answers

Answer:

-4 and 1, the answer is C

Step-by-step explanation:

The arrow points at the lines, the trace the lines to the nearest numbers :)

please help, tysm if you do :D

Answers

Answer:

I think it is C I don't really know but try C

Substitution
3x+y=-8, -8x-3y=21
PLEASE HELPP ME<3

Answers

X=-3, y= 1 using the substitution method

Can someone help me with this. Will Mark brainliest.

Answers

False hope that helps

Answer:

False

Step-by-step explanation:

because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

:))

(8,1), (-2,-5) midepoint

Answers

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5.  We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly.  The vertical distance between the two given points is 1 - (-5), or 6 units.  Half of that is 3 units.  Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

If your grandmother had a cousin what would she be to you??

Answers

Answer:

Wouldn't he be like a second cousin or something?

Step-by-step explanation:

Answer:

I think she would be your second cousin.

Step-by-step explanation:

Hope this helps!!

Please mark this answer as Brainiest!!

Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.

Answers

Answer: 300

Step-by-step explanation: Math - 35X10-50

I may be wrong sorry!

Replace x with 10 in the given function.

We are seeking f(10).

f(10) = 35(10) - 50

f(10) = 350 - 50

f(10) = 300

After 10 hours, Bill's profit is $300.

Bob bought a broken motor scooter for, repaired it installed the scooter for $150. That was $50 less than 1.5 times what he paid for. Write an equation that matches the situation

Answers

1. C. 130 = 1.5p-50
2. C. $3.19
4.(-6,12); (2,8)
5. (2,-9)
Hope this helps. :)

help me plzz and thank u sm

Answers

Answer:

The equation of the axis of symmetry is x = 7

Step-by-step explanation:

Mathematically, we have the equation of the axis of symmetry as;

x = -b/2a

where a is the coefficient of x^2 = 1

b is the coefficient of x which is -14

So, the equation of the axis of symmetry will be;

x = -(-14)/2(1) = 14/2 = 7

So the equation of the axis of symmetry is x =7

The number of songs Oliver has downloaded this year, divided by 12, is equal to 24. What is an equation that represents this situation, and how many songs has Oliver downloaded?
A. 12d = 12: d = 1 song downloaded
B. 12d = 24: d = 2 songs downloaded
C. d12 = 24: d = 288 songs downloaded
D. b12 = 12: d = 144 songs downloaded

Answers

Answer:

c

Step-by-step explanation:

24×12=288 songs downloaded

this is because you have to do opposite operations according to one of the operations of math

An equation that represents the given situation is d/12 =24, and the number of songs Oliver has downloaded is 288. So, option C is the correct answer.

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 =.

Given that, the number of songs Oliver has downloaded this year, divided by 12, is equal to 24.

Let the number of songs downloaded be d.

So, the equation is d/12 =24

d=288

The equation to represent the scenario is d/12 =24. Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

helppppppppppppppppppppp plzzzzzzzzzzz answer

Answers

Answer:

Maria randomly selects a number from the list of numbers below.

56, 90, 88, 76, 12

What is the probability that she selects an even number?

Step-by-step explanation:

so fd jwshydd +3 b4--

Answer:

3/2

Step-by-step explanation:

4x+17=23

-17 on both sides

4x=6

divided by 4

x=3/2

(-8xy + 3x²-5y)+(4x²-2y+6xy)

Answers

Answer:

-2xy+7x^2-7y

i recommend m a t h w a y :)

Step-by-step explanation:

Answer:

7x^2−2xy−7y

Step-by-step explanation:

First Simplify

(−8x)(y)+3x2−5y+4x2−2y+6xy

=−8xy+3x2+−5y+4x2+−2y+6xy

Then Combine Like Terms:

=−8xy+3x2+−5y+4x2+−2y+6xy

=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)

=7x2+−2xy+−7y

Urban rail systems have been proposed to alleviate traffic congestion, but results in many cities have been cited as evidence that this approach to traffic management is ineffective. For example, a U.S. city that opened three urban rail branches experienced a net decline of 3,100 urban rail commuters during a period when employment increased by 96,000. Officials who favor urban rail systems as a solution to traffic congestion have attempted to counter this argument by noting that commuting trips in that city represent just 20 percent of urban travel.
The response of the officials to the claim that urban rail systems are ineffective is most vulnerable to criticism on the grounds that it
A) presents no evidence to show that the statistics are incorrect
B) relies solely on general data about U.S. cities rather than data about the city in question
C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion
D) fails to show that the decline in the number of urban rail commuters in one U.S. city is typical of U.S. cities generally
E) provides no statistics on the use of urban rail systems by passengers other than commuters

Answers

Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

STION 4
Write the following ratio in its simplest form:
64:18​

Answers

The ratio 64:18 can be expressed in its simplest form as 32:9

Data;

6418

What is Ratio?

Ratio of a value is a relationship between two or more values indicating the number of times a value is present in the other.

To find the smallest ratio between 64:18, all we have to do is simply divide them to the smallest possible value

[tex]64:18=\frac{64}{18} =\frac{32}{9}[/tex]

The ratio 64:18 can be expressed in its simplest form as 32:9

Learn more on ratio here;

https://brainly.com/question/7620723

What exponential function represents the data in the table?


x f(x)
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x

Answers

Answer:

The Fourth one

[tex]f(x) = {5}^{x} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?

Answers

Answer:

each student gets 11 pencils

Step-by-step explanation: I searched it up

11 pencils.


hope this helps

increase 320g in a ratio 5:2​

Answers

Answer:5/2/320=900

Step-by-step explanation:

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

24f2+11

Answers

Answer:

24t^2 + 11

Step-by-step explanation:

There is a lot left out of this question. If you are allowed rational numbers, a common factor could be 24.

24(t^2 + 11/24) is one possibility.

I think what you mean is there an integer that is a common factor. There is not.

So the answer is 24t^2 + 11

There is one more thing that needs to be clarified. Can you give t a value? If you can, then t = 11

the common factor would be

11(24 * 11 + 1)

I doubt very much that this is what is meant, but the question really should make it clear.

Answer:

1(24f²+11) is your answer

Step-by-step explanation:

24f2+11

taking common

1(24f²+11)

PLS help with this immediately no links or guesses

Answers

Answer:

B all real numbers greater than 0

please help im not good at this kind of math T-T 20 points :)

Answers

Answer:

Step-by-step explanation:

huh

Answer:

Step-by-step explanation:

y=13-3x

when x=0

y=13-3(0)

y=13

when x=1

y=13-3(1)

y=13-3

y=10

when x=2

y=13-3(2)

y=13-6

y=7

when x=3

y=13-3(3)

y=13-9

y=4

when x=4

y=13-3(4)

y=13-12

y=1

What is (4×-5)^2 in polynomial form

Answers

Answer:

[tex]4x^2-20x+25[/tex]

Step-by-step explanation:

We start with this expression.

[tex](4x - 5)^2[/tex]

When an expression inside parentheses are squared, we have to take two of the expression and multiply them together. To do this, we need to multiply each part of one expression and multiply it with every part in the other expression.

This means that [tex](4x - 5) (4x - 5)[/tex] would become...

[tex](4x)(4x) = 4x^2\\(-5)(4x) = -20x\\(-5) (-5) = 25[/tex]

Now, we simply need to put all of the terms into one expression.

[tex]4x^2-20x+25[/tex]

The measures of the angles of a triangle are shown in the figure below. Solve for x. ​

Answers

Answer:

?

Step-by-step explanation:

I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.

Answer:

Since no figure is shown, i'll give you a hint.

Step-by-step explanation:

All angles inside a triangle equal 180 when combined.

i'll help more if you post the photo.

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50

Answers

Answer:

b

Step-by-step explanation:

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