The triangles are similar. Find the missing length x.

The Triangles Are Similar. Find The Missing Length X.

Answers

Answer 1

Answer:

36

Step-by-step explanation:

If the triangles have similar sides, any increase or decrease in side length is in equal number. This means equal ratio. How?

Let the common factor of decrease in side OD to AP be, z

[tex]\frac{30}{20} = z[/tex]

And, the common factor of decrease in side DT to PN be, z

[tex]\frac{x}{24} = z[/tex]

So, [tex]z = z[/tex]

[tex]\frac{30}{20} = \frac{x}{24}[/tex]

[tex]\frac{30}{20}[/tex] × [tex]24[/tex] = [tex]{x}[/tex]

Therefore,

[tex]{x}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]24[/tex]

  = [tex]3[/tex] × [tex]12[/tex]

  = [tex]36[/tex]


Related Questions

please help me ill give brainiest to whoever is right i need help asap

Answers

Answer:

73 degrees

Step-by-step explanation:

So first, since there are two lines that are parallel, and there is a transversal, angle a and angle b are supplementary due to same side interior angles.

Next, we make an equation: 6x-35+3x+53=180, and after that you come up with 9x+18=180. Put the numbers on one side and the variables on one side, and since you put 18 on the other side, you have to change it to -18. 180-18= 162.

9x=162. In conclusion, x=18. And to find angle a, plug x in. Therefore, the final answer is 73 degrees

8 1/2% as a fraction

Answers

Answer:

it will be  8 1/2

Step-by-step explanation:

Answer:

17/200

Step-by-step explanation:

8.5%=8.5/100 =0.085=0.085/1×1000/1000=85/1000=17/200

hope i'm correct also pls try to answer my question thx

Four out of every six dental patients request fluoride treatment after their dental cleaning treatments. If 120 patients have dental cleanings this week, how many will choose to have fluoride treatments as well?

Answers

‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

Can anyone help me with this ?

Answers

Answer:

b i think

Step-by-step explanation:

please help with this

Answers

Tffffffffffffffffffff is that

What is 60 tens in standard form answers are 60,000 69 600 6,000

Answers

Answer:

I think it's 696,000

Explanation:

I can't be sure but is this a troll question... if so that great. :D

Please mark brainliest UwU

a line that has a slope of -2/5 and passes through the origin

Answers

Answer:

Hi there!

Your answer is

y= -2/5x

Step-by-step explanation:

The coefficient of x is the slope. IF the y intercept was something other than the origin, that number would be added. Since it has a y int of (0,0), it is simply the equation above!

can someone help me with the math on my page i will mark them brainliest pls

Answers

Answer:

Step-by-step explanation:

ok

The mass of Earth is about 6 x 10^24 kilograms. The mass of the moon is about
7 x 10^ 22 kilograms. The mass of Jupiter is about 2 times 10^27 kilograms.

About how many times as large is Earth's mass compared to the moon's mass? Justify your answer.
About how many times as large is Jupiter's mass compared to Earth's mass? Justify your answer.

Answers

Answer:

Earth is 85.71 times heavier than moonJupiter is 333.33 times heavier than Earth

Step-by-step explanation:

Given

The mass of Earth is about 6 x 10^24 kilograms = eThe mass of the moon is about  7 x 10^ 22 kilograms = mThe mass of Jupiter is about 2 x 10^27 kilograms = j

The difference in mass

e/m = 6 x 10^24 / 7 x 10^ 22 = 600/7 = 85.71

Earth is 85.71 times heavier than moon

j/e = 2 x 10^27 / 6 x 10^24 = 2000/6 = 333.33

Jupiter is 333.33 times heavier than Earth

The diameter of a planet is 1280 mi. Find the volume of the planet ?

Answers

Answer:

=098066219.4435 miles cubed

Step-by-step explanation:

Use the radius, 1280/2 = 640

Then use the formula for finding the volume of a sphere.

(13 points & to get BRAINLIEST, plz give a good explanation so I can improve)

Indications:
Ignore my work for number 1, I need help with number 2. I must submit before 11:59 and it would be really appreciated to get an explanation, not only the answers to the questions.

Answers

I would just like to point out that you solved your first equation incorrectly.

I didn't try finding the correct answer but -23 + 5 = -18 not 18, you forgot the negative sign!!!

Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24.

Answers

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

rhoda

Step-by-step explanation:

The vertex of this parabola is at (-1,-3). Which of the following could be its equation?
61,-3)
A. x=-2(y + 1)2-3
B. x=-2(y-1)2-3
C. x= -2(y + 3)2-1
D. x = -2(y-3)2-1

Answers

Answer:

            NONE

The vertex form of an equation of the parabola with vertex (-1,-3) is:

            y = a(x + 1)² - 3

where a  could be any number, also -2,

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                        y = a(x - h)² + k

vertex is (-1, -3)  so  h = -1,  k = -3

so:

   y = a(x - (-1))² + (-3)

   y = a(x + 1)² - 3

The function y = 4x represents the distance in miles, y, a horse runs in x hours.

What does the average rate of change over the interval [5, 7] mean?

A. The average speed of the horse in hours per mile between hours 5 and 7.

B. The average speed of the horse in miles per hour between hours 5 and 7.

C. The total time the horse travels in hours between hours 5 and 7.

D. The total distance the horse travels in miles between hours 5 and 7.

Answers

Answer:

B) The average speed of the horse in miles per hour between hours 5 and 7.

Step-by-step explanation:

I took the test

Lines n, m, and p are drawn on the coordinate grid below.

Which choice is NOT true?

Answers

C. All of the rest of the statements are true.

(4x+2y=4
(6x +2y=8
Solve by elimination

Answers

Answer: Y=1

Step-by-step explanation:

Hope this helps

Given the following function, find f(-1), f(0), and f(5).

f(x)=x2-4

f(-1) =
f(0)=
f(5)=

Answers

Answer:

-6, -4, 6

Step-by-step explanation:

1.) f(-1)= (-1)2 - 4

= -2-4

= -6

2.) f(0)=(0)2-4

= -4

3.) f(5)= (5)2 -4

=10-4

6

The temperature dropped 24 degrees in 4 hours. Which integer represents the change per hour?


6

-6

20

-20

Answers

Answer:

-6

Step-by-step explanation:

24/4 is 6 but the tempature decreased due to that we put a negative symbol in front.

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Answers

Answer:

20

Step-by-step explanation:

360÷18=20

thus ,the polygon have 20 sides

Answer:

20

Step-by-step explanation:

Keiko purchased a prepaid phone card for $20 . Long distance calls cost 16 cents a minute using this card. Keiko used her card only once to make a long distance call. If the remaining credit on her card is $17.28 , how many minutes did her call last?

Answers

Answer:

17 minutes

Step-by-step explanation:

To answer this question, all we have to do is subtract the original amount of money on the phone card by what is remaining after Keiko's call:

20 - 17.28 = 2.72

Now, we divide this number by 0.16:

2.72 / 0.16 = 17

So, Keiko's call lasted 17 minutes

Hope this helps :)

Helppp meeee plzz. Thank you

Answers

Answer:

midpoint is (−6,11 over 2)

Is zero positive or negative?

Answers

Answer:

its nutral

Step-by-step explanation:

it is in between postive and negative like the barrior pretty much

Find the value of x for which p || q.

Answers

Answer:

x = 9

Step-by-step explanation:

For the lines to be parallel, then

9x + 8 and 15x - 46 are alternate angles and congruent, thus

15x - 46 = 9x + 8 ( subtract 9x from both sides )

6x - 46 = 8 ( add 46 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer:

The process is ; We can do by ; The two angles are alternate angles ( Z) . So, ( 9x+8) = ( 15x-46). OR, 9x+8=

Step-by-step explanation:

15x-46 8+46=15x-9x or, 54=6x or, 54/6=× THEREFORE, x = 9

Find the solution to the syster
y = 2x = 5
y = X - 2

Answers

Answer:

Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the y-intercept value.

y=-2x+5

y=-2x+20

The slope of the two equations are: m1=−2 and m2=−2

Step-by-step explanation:

Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.

The y-intercepts for the two lines are:b1 = 5 and b1=20

Which statements about experimental probability are true? Select three options.

A: Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.
B: Experimental probability is the same as theoretical probability.
C: An experiment to determine probability will include a number of trials.
D: A probability experiment will count the number of times an event occurs.
E: Experimental probability can be written in the form of a ratio.

Answers

Answer:

I don't know this exactly, but I'll give it my best go!

We can get the answer by answering questions we know are true and eliminating the ones we don't.

E: Experimental probability can be written in the form of a ratio.

- Any probability can be expressed by a ratio so this is true.

B: Experimental probability is the same as theoretical probability.

- They are two different 'types' of probability so this is most likely false.

A: Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.

- I'm fairly certain that applies to theoretical probability, not experimental.

So that means the answers are most likely C, D, and E. If I was wrong let me know!

Carrie needs to determine the number of towels that will fit each row along the back of the shower if the back of the shower measures 6 feet long and each towel is 2/3 a foot long which equation shows how to determine the number of tiles that will fit in each row

Answers

Answer:

6 / 2/3 = 9

Step-by-step explanation:

Carrie want to find out the number of towels that will fit each row along the back of the shower

The back of the shower measures 6 ft long

Each towel is 2/3 foot long

Therefore the equation which shows how to determine the number of tile that will fit in each row is

Since 1 tile is 2/3 foot long then the number the number of tile in each row is

= 6 / 2/3

= 6 ×3/2

= 18/2

= 9

how can u
Simplify negative 9 over 6 divided by 3 over negative 2. .

Answers

Answer:

negative 3 over 2 divided by 3 over negative 2.

explanation:

negative 9 over 6 simplified is:

3:2 as a ratio which is negative 3 over 2.


[tex] \sqrt{147} - \sqrt{75} + \sqrt{27} [/tex]

Answers

I am not smart at math I have no idea

Need help Plz 10 points

Answers

Answer:

10 and 15

Step-by-step explanation:

hope this helps

Answer:

Im pretty sure it would just be the 10 miles and the 15 miles

Step-by-step explanation:

Hope this helps. Please give me brainliest.

In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.) PLZ HELP! Will mark brainliest

Answers

Answer:

There are 15 cows and 35 chickens

Step-by-step explanation:

So first you take 20 and multiply it by two since there are two legs on each chicken. You get 40.

Then you subtract 40 from 130. You get 90.

Since the cow has double the legs of the chicken, you can count the cow as two chicken.

You divide 90 by 3. You get 30.

To get the number of chicken you divide 30 by 2 and you get 15.

You add 15 and 20 together and you get 35 chickens.

To get the number of cows you divide 30 by 2 and you get 15.

So you have your answer. 35 chicken and 15 cows.

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