х
3
3
Right triangle similarity
What is the value of x

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Answer 2

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?


Related Questions

How would you simplify (-4r^5)(2r^8)? ​

Answers

Answer:

− 8 r^ 13

Step-by-step explanation:

Combine like terms

-4r and 2r= -8r

then add the exponents

5+8=13

THEN SIMPLIFY

-8r^13

Which number is missing on the number line below?

A number line from negative 15 to 15 by fives. The number between negative 10 and zero is missing.

Answers

Answer:

it should go

-15, -10, -5, 0, 5, 10, 15

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Answer is after 20 miles

Step-by-step explanation:

10 +2.5x = 3x

10 = 3x-2.5x

10=0.5x

10/.5=x

x=20

At 20 miles they both have a cost of 60

Let's see what to do buddy....

____________________________

Step (1)

Express taxi charges 2.50 $ per mile.

So if each mile equals x the taxi charges 2.50 x.

There's the starting fare too.

So ;

Express taxi charges by the following function :

[tex]f(x) = 2.5x + 10[/tex]

____________________________

Step (2)

Speedy taxi charges 3 $ per mile.

So if each mile equals x the taxi charges 3x .

There's no starting fare.

So ;

Speedy taxi charges by the following function :

[tex]g(x) = 3x[/tex]

____________________________

Step (3)

To find that after how many miles is the cost of both taxi services the same , we must equal their functions.

Then solve for x .

So we have :

[tex]f(x) = g(x)[/tex]

[tex]2.5x + 10 = 3x[/tex]

Subtract the sides of the equation minus 2.5x :

[tex]10 = 0.5x[/tex]

[tex]10 = \frac{1}{2}x \\ [/tex]

Multiply the sides of the equation by 2 :

[tex]x = 20[/tex]

So after 20 miles both taxi services have the same cost.

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What is the volume of a block 6 cm on all sides?

Answers

Answer:

3

Step-by-step explanation:

its right

Answer:

The volume is 226 cm

Step-by-step explanation:

To calculate volume, you must do "length X width X height"

The Fisher pool has 240 gallons of water and drains 10 gallons every hour. The Howard pool is 360 gallons and drains 40 gallons every hour. At what time will the two pools be the same number of gallons

Answers

Answer:

en cuanto la suma de respuesta

Step-by-step explanation:

Que vez de gallinas de =650

Hideyko has 3/5 yards of ribbon to tie on balloons for the festival. Each balloon will need 3/10 yard of ribbon. How many balloons can Hideko Tie with ribbon?

Answers

Answer:

The answer would be 2

Step-by-step explanation:

Please mark me brainiest B) :) ;) B]

translate the problem into a mathematical sentence using e as your variable name.
roy bought 16 CDs in December. of those, 7 were world music the rest were electronic music. how many electronic music discs did he buy?

Answers

Answer:

9

Step-by-step explanation:

Total CD's = 16World music = 7Electronic music = e

The expression and solution:

7 + e = 16e = 16 - 7e = 9

Roy bought 9 electronic music discs

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to find X, the number of teaspoons of baking soda needed for 9 cups of sugar?

Answers

Answer:

Heres how to solve.

Step-by-step explanation:

3 cups of sugar for every 2 teaspoons of baking soda.

So 6 cups of sugar for 4 teaspoons of baking soda.

And 9 cups of sugar for 6 teaspoons of baking soda.

Basically you just multiply by 3, 3×3=9 and 2*3=6

The number of teaspoons of baking soda Trisha needed will be 6.

It is given that Trisha uses 3 cups of sugar for every 2 teaspoon of baking soda.

We have to find out that what will be the number of teaspoons of baking soda needed for 9 cups of sugar.

If a car goes 10 km in two hours , how far will it go in one hour ?

The car will go, 10 ÷ 2 = 5 km in an hour.

As Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda.

For 1 cup of sugar Trisha will have to use 2/3 teaspoons of baking soda .

For 9 cup of sugar Trisha will use ;

= (2/3) × 9 = 18 ÷ 3

= 6

So, Trisha will have to use 6 teaspoons of baking soda for 9 cups of sugar.  

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Identify the number of decimal places in each factor.

0.47
× 3.2


The number of decimal places in 0.47 is .
The number of decimal places in 3.2 is .
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places.

Answers

Answer:

no

Step-by-step explanation:

Answer:

The number of decimal places in 0.47 is

✔ 2

.

The number of decimal places in 3.2 is

✔ 1

.

The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have

✔ 3

decimal places.

Step-by-step explanation:

I did this on edge 2020

Latoya has a bookcaes with k shelves. There are 14 books on each shelf. Using k, write an expression for the total number of books

Answers

Answer:

Step-by-step explanation:

Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)

Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.

My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?

If a number a is chosen at random from the set
of positive integers less than 20, then what is the
probability that
12
>a?
a
A. 12
19
B. 3
5
C. 7
19
D. 3
19
Glo Glukom

Answers

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

If you have 15% withheld for federal taxes, 10% for state taxes, and FICA is a 7.65%, how
much are your involuntary withholdings in all if your gross pay is $1,575.00 and your net
income is $925.00?
OS514.24
O $302.01
O $120.49
O $70.76

Answers

Answer:

The Answer is $514.24

Step-by-step explanation:

A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel 190 miles?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 Gallons of gasoline

Step-by-step explanation:

This is true because 190÷38 is five. If you want to check the work 38×5 is 190.

I also got it right on edg. 2020

Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be

the amount of sales tax on Whitney’s purchase?

A $2.89

B $2.97

C $3.06

D $3.13

Answers

Answer:

b

Step-by-step explanation:

Uh, uh, uh, uh

Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night

Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)

Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night

Answers

Uh ... is this a song or

Which one of these are not equivalent to each other and which ones are:
3 (x+2), 3x+6, 3 (2x)

Answers

Answer:

3(x+2) and 3x+6 are equivalent.

3(2x) is not.

Step-by-step explanation:

Simplify the expressions first.

1. 3(x+2) becomes 3x+6

2. 3x + 6

3. 3(2x) becomes 6x

The first and second are equivalent to each other.

The third one is not equivalent.

Hope this helped :)

What is 100 times greater than 62.7

Answers

Answer:

6,270

Step-by-step explanation:

hope this helps

1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?

Answers

We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

[tex] \frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\ [/tex]

[tex] \frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\ [/tex]

[tex] \frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\ [/tex]

[tex]Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2} [/tex]

[tex] AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ [/tex]

[tex]AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\ [/tex]

[tex]AB = \sqrt{2} \times 6 \sqrt{3} [/tex]

[tex]AB = 6 \sqrt{2 \times 3} [/tex]

[tex]AB = 6 \sqrt{6} [/tex]

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

A certain car has a fuel efficiency of 55 miles per gallon when travelling at 70 miles per hour. How many miles will the car travel using 3 gallons?

Answers

9514 1404 393

Answer:

  165 miles

Step-by-step explanation:

miles = miles/gallon × gallons

  (55 mi/gal) × (3 gal) = 165 mil

The car will travel 165 miles on 3 gallons.

Identify a like that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original. Geometry. Please Help!!

Answers

Answer: x=6

Step-by-step explanation: move 6 spaces and you get the same vertices

Your meal cost $20. You want to leave a 10% tip. How much money do you leave for the tip?

Answers

Answer:

$2

Step-by-step explanation:

20×0.10=2

Jose earns $920 for 40 hours of work. What is Jose’s unit rate?
i need help

Answers

Answer:

Step-by-step explanation:

rate=earning/time=920/40=23 $ per hour.

MATH QUIZ PLEASE HELP <3
Determine whether the following relation is a function.
y= - 3x - 4

Answers

am i solving for x or the 4 or y?

Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?

A. 28 ÷ 4/7 = 49

B. 28 x 4/7 = 16

C. 4/7 ÷ 28 = 1/49

D. 7/4 ÷ 28 = 1/16

Answers

Answer:

b

Step-by-step explanation:

First, multiply it with each other and then it is 28 *4/7 = 16

Meaning that there is 16 girls in Mr. Chang's class

Making the answer B. 28 x 4/7 = 16 to be correct

I hope this helps, love!

Five friends shared 2/3 bags of popcorn. how much popcorn did each friend eat?​

Answers

Answer:

Each friend will get 2/15ths of the popcorn.

Find the axis of symmetry for the function below.
2x^2 – 8x + 5 = 0

Answers

Your answer is (0,-3). The axis of symmetry is basically the y part in a vertex. I just found the vertex of the equation (showed you the steps how to do so if you don’t know) and then took the y value of the vertex-which is the axis of symmetry. Hopes this helps!

You notice a hot air balloon descending. The elevation h
(in feet) of the balloon is modeled by the function h(x)=−8x+360,
where x
is the time (in seconds) since you first noticed the hot air balloon.

Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.

Answers

Answer:

the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.

Step-by-step explanation:

The descending balloon is an illustration of a linear function.

The balloon spent 45 seconds in air  The balloon was at a height of 360 feet when you noticed it.The balloon descends 8 feet per seconds.[tex]\mathbf{Domain=[0,45]}[/tex].[tex]\mathbf{Range=[0,360]}[/tex]

The function is given as:

[tex]\mathbf{h(x) = -8x + 360}[/tex]

See attachment for the graph of h(x)

From the graph, we have the following observations

The y value ranges from 0 to 360The x value ranges from 0 to 45The function crosses the graph at x = 45 and y = 350

The above highlights mean that:

[tex]\mathbf{Domain=[0,45]}[/tex][tex]\mathbf{Range=[0,360]}[/tex][tex]\mathbf{x-intercept = 45}[/tex][tex]\mathbf{y-intercept = 360}[/tex]

The x intercept means that:

The balloon spent 45 seconds in air  

The y-intercept means that:

The balloon was at a height of 360 feet when you noticed it.

A linear function is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where:

m represents the slope

By comparison with [tex]\mathbf{h(x) = -8x + 360}[/tex]

[tex]\mathbf{m = -8}[/tex]

The above value of slope means that:

The balloon descends 8 feet per seconds

Read more about linear functions at:

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Mrs. Rodriguez is making cookies. The ratio of walnuts to raisins she uses in her recipe is 3 to 5. If Mrs. Rodriguez decides to bake giant cookies, which of the following shoes the possible number of ingredients in each cookie? a. 12 raisins and 20 walnuts b. 36 raisins and 60 walnuts C. 25 raisins and 15 walnuts d. 20 raisins and 15 walnuts​

Answers

Answer:

C.

Step-by-step explanation:

3/5 is equal to 15/25 walnuts/raisins

3y - 2 = 13
helppp
there’s 20 points

Answers

Answer:

y=5

Step-by-step explanation:

if u simplify it u get

3y=15

then u divide it and u get

y=5

3y - 2 = 133y=13+2y=15/3y=5

The fence is rectangular, so use the formula for the area of a rectangle: .

You know the area (A = 300 ft2) and the width (w = 4 ft), but not the length. The formula would be more useful if it were rewritten to solve for the length in terms of the area and width. Rewrite the formula by dividing both sides by the width.


Use the formula to find the length of fence (in feet) that can be painted.

Answers

Answer: New formula is A/w=l

Length equals 75ft.

Step-by-step explanation:

A=l x w           Area of a rectangle formula.

A/w=l              Solve for length

300=l x 4      

300=l x 4

4           4

300/4=l

75=l

The new formula is A/w=l and  Length= 75ft.

A=l x w        (Area of a rectangle formula)

A/w=l           (Solve for length)

300=l x 4      

300=l x 4

300/4=l

75=l

What's the vicinity system?

Given a rectangle with duration l and width w, the system for the location is A = lw (rectangle). that is, the place of the rectangle is the duration accelerated by the width. As a unique case, as l = w inside the case of a rectangular, the location of a rectangular with facet duration s is given with the aid of the formulation: A = s2 (rectangular)

The perimeter P of a rectangle is given through the formulation, P=2l+2w, wherein l is the period and w is the width of the rectangle. The location A of a rectangle is given with the aid of the system, A=lw, where l is the length and w is the width.

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