The triangles are similar.


What is the value of x?

The Triangles Are Similar.What Is The Value Of X?

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

Let's look at the ratio of the hypotenuse of both triangles:

25 : 5 = 25/5 = 5

we can see that the measures of the sides of the larger triangle are 5 times those of the smaller triangle.

Therefore, 3x + 8 = 4 x 5

⇒ 3x + 8 = 20

⇒ 3x = 20 - 8 = 12

⇒ x = 12 ÷ 3 = 4

⇒ x = 4

Answer 2

Answer:

x=4

Step-by-step explanation:

As you can see, these triangles are demonstrating a scale factor. It is upscaling by 5. To find out what x is equal to, we need to upscale the smaller side. In this scenario, we have to multiply 4 by 5. This will get you 20. Now we can make an equation.

20=3x+8

We can subtract 8 from both sides.

Now we have:

12=3x

now dividing 12 by 3, we get

x=4


Related Questions

What percent of 72 is 9?

18%

1 1/4%

12 1/2%

125%

Answers

the only reasonable answer would be 12 1/2 because 10 percent of 72 is 7.2 and there's no other closer one.

Answer:

The answer is c, 12 1/2% for K12

Help!!! Use 1st and 2nd differences to determine if the following table of values is linear, quadratic or neither.

Answers

Answer:

This would be QUADRATIC

Suppose your friend's parents invest $20,000 in an account paying 6% compounded annually. What will the balance be after 5 years?

Answers

Step-by-step explanation:

if you invest $20,000 with 6% compounded interest annually over the span of 5 years the interest would be $6,765 with a total of $26,765

What is the difference of 4 3/4 and 4 1/4 in inches?

Answers

Answer:

2/4 is answer

Step-by-step explanation:

got it for u

Vrite your definition of square numbers. Square numbers:

Answers

Answer:

Square numbers are numbers that have been multiplied by themselves.

HELP ME ON THIS QUESTION

Answers

Answer:

168

Step-by-step explanation:

(11 +17) ×12 /2

28×12 /2

=168

all about formule

Answer:

C.  168ft²

Step-by-step explanation:

area: S = a + b /2 × h

S = 11 + 17 / 2 × 12

S = 28/2 × 12

S = 14 × 12

S = 168

Write an equation the describes the line passing through point (0,7) with slope - 7/3

Answers

Answer:

[tex]y=\frac{7}{3}x+7[/tex]

Step-by-step explanation:

[tex]y=mx+b\\\\y=\frac{7}{3}x+b\\ \\7=\frac{7}{3}(0)+b\\ \\7=b\\\\y=\frac{7}{3}x+7[/tex]

For these kinds of problems, the point-slope formula comes in handy.

The point-slope form (y - y1 = m(x - x1) +b) uses the slope and a point given to find the y-intercept, or in this case, the equation of the line.

First, we plug the known #'s into the equation, then solve.

y - 7 = -7/3( x -0)

y - 7 = -7/3x

   +7        +7

y = -7/3x +7

Therefore, the equation of the line is: y = -7/3x + 7

Hope this helps!

Jackson’s backpack weighs 734 pounds. After he adds food and water to his backpack, it weighs 1134 pounds. If the water weighs 134 pounds, how much does the food weigh?

Answers

Answer: 266 lbs.

Step-by-step explanation:

First, you subtract 734 from 1134 to get 400. Then, you subtract the number of pounds the water weighs from how much the food and water weighs. So you basically do 400 - 134 to get 266.

Nancy and Elsa like to ride bikes. The equation m=12h represents the approximate number of miles m Nancy bikes in h hours. The equation m=9h represents the approximate number of miles m Elsa bikes in h hours. How much longer will it take Elsa to bike 72 miles than Nancy?

Answers

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles

Answer:

2

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

substitute m = 72 into both equations and solve for h

72 = 12h ( divide both sides by 12 )

6 = h

Takes Nancy 6 hours to cycle 72 miles

72 = 9h ( divide both sides by 9 )

8 = h

Takes Elsa 8 hours to cycle 72 miles

Elsa takes 2 hours longer than Nancy to cycle 72 miles

85% of £30? I really need help homework is due tomorrow

Answers

Answer:

$25.50

Step-by-step explanation:

85% can be written as 0.85

Therefore just multiply it by 0.85 times 30 and you'll get $25.50 dollars.

A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 45° with the ground, as shown below. What is the length of the wire?

Answers

Answer:

The length of the wire will be 44.83 feet.

Step-by-step explanation:

From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.

Therefore, the length of the wire will be:

cos 48° = 30/x

x = 30/cos 48°

x = 44.83

The length is 44.83 feet.

Length of the wire is equals to 35√2 feet.

What is angle of elevation?

"Angle of elevation is defined as the angle between the horizontal plane and the line drawn through the point of observation."

Formula used

sinθ = (Opposite side) / Hypotenuse

According to the question,

Given,

Length of the pole = 35feet

Angle of elevation = 45°

Length of the wire = Hypotenuse

'l' represents the length of the wire

Substitute the value in the formula we get,

sin 45° = (35 / l )

⇒ (1 / √2) = (35 / l )

⇒l = 35√2 feet

Hence,  length of the wire is equals to 35√2 feet.

Learn more about angle of elevation here

https://brainly.com/question/21137209

#SPJ2

Question, what is the best Lofi song to listen to when studying?..

Answers

Answer:

boomerang by jojo siwa lol

Step-by-step explanation:

Answer:

Phonky town or Phonk music

Step-by-step explanation:

Which equation correctly shows this statement:

8 times as many as 22? (3 points)

22 ‒ 8 = ________

8 + 22 = ________

22 ÷ 8 = ________

8 x 22 = ________

Answers

Answer: the last choice

Step-by-step explanation:

times in the statement indicated multiplication so the answer is D or 8 x 22

22-8=14

8+22=30

22÷8=2.75

8x22=176

help asap! brainlist will be given!! (geometry)

Answers

Answer:

Step-by-step explanation:

smallest: 21

medium: 72

Large: 87

Triangles always add up to 180. Subtract the 87 and 21 from the 180 and you get the missing size.

Have a good day

a) Write down the mathematical name of this shape.

Answers

Answer:

Quadrilateral as it is a four-sided ploygon, having 4 edges and corners


c. When two lines intersect, the
angles that lie on opposite sides of
the intersection point are called
vertical angles. For example, in
the diagram at the right, AED and
CEB are vertical angles. Name
another pair of vertical angles.
A
230
.19
E
DEB and AEC
9
B
d. Using the diagram at the right,
determine the measure of AEC,
DEB, and CEB if x = 23°. Show
all your work.

Answers

Answer:

AEC=BED=157°

Step-by-step explanation:

AEC + CEB + BED + x = 360°

since CEB and x are vertical angles, they are equal.

Also, AEC = BED (same reason)

therefore,

2AEC+ 23° + 23° = 360°

2AEC + 46° = 360°

2AEC = 360° - 46°

2AEC = 314°

AEC = 157°

BED also = 157°

complex numbers

simplify.

\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)

Answers

Answer:

-5+ 20i

Step-by-step explanation:

just distribute: [tex](\sqrt{-5})(2\sqrt{20}+\sqrt{-5})[/tex]---> [tex](2\sqrt{-100}) -5[/tex] and because 100 is the perfect square of 10 you get -5+20i

A cube with a volume of 75 cm³ is dilated by a factor of 5. What is the volume of the dilated cube? Enter your answer in the box. Cm³.

Answers

Using the concept of dilation the volume of the dilated cube when dilated by a factor of 5 is 9375 cm³.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A cube with a volume of 75 cm³ is dilated by a factor of 5.

The edge of the cube before dilation

Edge³ = 75

Edge   = 4.217

The edge after dilation will be

Edge = 5 x 4.217

Edge = 21.08

The volume of the dilate cube will be

Volume = ( Dilated Edge)³

Volume = 9375

The volume of the dilated cube is 9375 cm³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Yusuf made note of all the bicycles and cars he could see parked or locked on

a certain city block. All the cars had exactly four wheels, and all the bicycles

had exactly two wheels. How many wheels were on the block if there were 13

bicycles and 12 cars? How many wheels were on the block if there were x

bicycles and y cars?

Answers

Answer:

74 wheels

Step-by-step explanation:

there would be 74 wheels because 13 * 2 + 12 * 4 = 74

16. An initial investment of $10,000 grows at 11% per year. Calculate its value after 5 years.
Show work please

Answers

Answer:

16850.58 (2DP)

Step-by-step explanation:

Compound Interest Formula = P(1 + [tex]\frac{r}{100}[/tex])^t

P = 10,000

Rate = 11%

Time = 5 years

10000(1.11)^5 = $16850.58

it takes me 12 minutes to run 2 kilometers. how long will it take me to run 10000 meters

Answers

Answer:

60 minutes

Step-By-Step Explanation:

1. 12/2= 6 (6 minutes per kilometer)

2. 10000/1000= 10 (10000m is 10km)

3. 10*6= 60min

If this helped, please consider picking this answer as the Brainliest Answer. Thank you!

Answer:

60 minutes or 1 hour

Step-by-step explanation:

Time taken to cover the distance of 2 km = 12 minutes

10000m = 10km

Then time taken to cover the distance of 10 km = 5 x 12 = 60 minutes

I have multiplied 12 with 5 because if we multiply 2km with 5 we will get 10km. So, hope you understood my explanation. If not ask me your doubt in comment.

The point StartRoot x EndRoot is plotted on the number line. A number line going from 9. 8 to 10. 7. StartRoot x EndRoot is plotted slightly to the left of 10. 2. What whole number best approximates the value of x? 100 102 103 104.

Answers

Function assigns the value of one set to another. The whole number that best approximates the value of x is 10.

What is Function?

A function assigns the value of each element of one set to the other specific element of another set.

As it is given that the point √x is plotted on the number line. therefore, the value of x is in square root. Now, in order to get a whole number out of this point function, we need the value of x should be such that when it goes through the function the outcome must be a whole number. therefore, let's substitute the value of x in the function,

A.) 100

[tex]\sqrt{x} = \sqrt{100} = 10[/tex]

B.) 102

[tex]\sqrt{x} = \sqrt{102} = 10.099[/tex]

C.) 103

[tex]\sqrt{x} = \sqrt{103} = 10.149[/tex]

D.) 104

[tex]\sqrt{x} = \sqrt{104} = 10.198[/tex]

As we can see, when the value of x is 100, only then the outcome of the point function is a whole number.

Hence, the whole number that best approximates the value of x is 10.

Learn more about Function:

https://brainly.com/question/5245372

Find the quotient-you must show your thinking to support your answer.
-8 divided by (-2/3)

Answers

When you divide fractions you need to flip.
-8/1 x -3/2
Negative times negative is positive
24/2
12 is your answer

Answer:

12 (i think)

Step-by-step explanation

What I did is that I made negative 8 (8/1) and switched 2/3 to 3/2 because it's division. I then cross-canceled to get 4/1 and 3/1. After that, I multiplied and got 12/1, which is equal to 12.

Help me please this is due today

Answers

[tex]\huge\mathtt\blue{answer}[/tex]

D) 54

Step-by-step explanation:

input f(4) into x

f(x) = x² + 8x + 6

f(4) = (4)² + 8(4) + 6

f(4) = 16 + 32 + 6

f(4) = 54

f(x)=x^3 −9x
What is the average rate of change of f over the interval [1,6] ?

Answers

Answer:34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change =  =  = 34

Krista is building a pen for her bunny.
She’s planning to make it 5 feet long and 4 1/2
feet wide. She would like to build one with an
area 3 times as big as this, but she doesn’t have
the room. How long would the pen be if she could
make one that size? What would the area be?


What is the area?

Answers

Answer:

The area of the pen would be 15 feet long :)

Step-by-step explanation:

P(x) = 2x3 – 3x 2 – 23x + 12

Answers

Answer:

(2x+1)(x−3)(x+4)

Step-by-step explanation:

What is the product of (x - 5) and (x - 4)? Use the model to find the result. pls put the model answers too.​

Answers

Answer:

[tex] {x}^{2} - 9x + 20[/tex]

Step-by-step explanation:

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

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

[tex] {x}^{2} - 4x - 5x + 20[/tex]

[tex] {x}^{2} - 9x + 20[/tex]

5.(11x* +34x° - 534x² + 454x – 45)+(x² + 4x – 45)

Answers

The answer is -2669x^2 + 2499x- 270

A spinner is divided into 12 identical sectors and labeled 1 through 12. How many spins are expected for a multiple of 5 to be spun 22 times? Select from the drop-down menu to correctly complete the sentence. The spinner is expected to have to spin approximately Choose... times for a multiple of 5 to be spun 22 times

1. 68
2. 88
3. 110
4. 132

Answers

Using the binomial distribution, it is found that the spinner is expected to have to spin approximately 132 times for a multiple of 5 to be spun 22 times, hence option 4 is correct.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_f(X) = \frac{q}{p}[/tex]

In this problem:

We want 22 successes, hence q = 22.2 out of 12 sections(5 and 10) are multiples of 5, hence p = 1/6.

Then:

[tex]E_f(X) = \frac{q}{p} = \frac{22}{\frac{1}{6}} = 22 \times 6 = 132[/tex]

Hence option 4 is correct.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

Answer:

132

Step-by-step explanation: I took the test

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