Find the unknown length given that the triangles are similar.

Find The Unknown Length Given That The Triangles Are Similar.

Answers

Answer 1

Answer:

20 is the answer.

Step-by-step explanation:

1. Make a proportion.

Set the numbers equal to each other.

I chose the numbers 9, 12, 15, and of course x.

Make the fractions in a way that the x is in the numerator if you want to make your life easier.

15/9 = x/12

2. Simplify

Cross multiply the numbers.

This will give you the equation of

9*x and 15*12

3. Make an equation

Simplify the numbers by mulitplying them

9x = 180

4. Divide both sides by 9

9x = 180

/9      /9

x = 20

Hope this helped,

Kavitha Banarjee


Related Questions

A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2

Answers

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

y=−x/3+4. WHOEVER ANSWERS GETS BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

put the y intercept at 4. then go down 1 and right three, down one, then right three. go back to the y intercept and then go up one and left three, up one and left three

to answer this you should plot a point at (0,4). That is the y intercept as you can see on the equation +4 is at the end. Since the slope is -1/3, go 1 unit left and 3 up from the y intercept. those are your two points and draw a straight line though.

Can anyone please help me with #30? :(

Answers

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

Manuel has already sold $20 worth of tickets to the school play. He has 4 tickets left to sell at $2.50 per ticket. Write a function for the total amount collected from ticket sales

Answers

Answer:

The function is C(t)=20 + $2.50X

Total amount is $30

Step-by-step explanation:

Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket

It means he sell 1 ticket for $2.50

Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.

If He has 4 tickets left to sell at $2.50 per ticket

Then he will sell at ($2.50×4)=$10

Then total tickets sold= $10+$20= $30

LET US WRITE THE FUNCTION NOW

The function for the total amount collected from ticket sales can be written as

C(t)=20 + $2.50X

Where X is the number of tickets to be sold

C(t) = total amount

$20= initial sold

If He has 4 tickets left to sell then

C(t)=20 + $2.50(4)

C(t)= 20+10= $30

1.
What is the sum of the two solutions to the equation 3x2 - x = 4?

Answers

Answer:

The sum of the two solutions to the given equation is 1/3.

Step-by-step explanation:

Nature of Roots of a Second-Degree Equation

Given a quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The roots of the equation are:

[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]

The sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

We are given the equation:

[tex]3x^2 - x = 4[/tex]

Rearranging:

[tex]3x^2 - x - 4=0[/tex]

The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]

[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]

The sum of the two solutions to the given equation is 1/3.

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.

Answers

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!!  <3

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

What are translation and rotation?

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Read more about translation

https://brainly.com/question/12861087

#SPJ5

Regions of earth experience seasons at different times at which position in the orbit of earth would City X have summer?
A) 2
B) 1
C) 3
D) 4

Answers

Answer:

it is C

Step-by-step explanation:

hope it helps

City X would have summer at position 4.

The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.

In the positions shown on the earth the stations are:

position 1 would be autumn in the northern hemisphere and spring in the southern hemisphereposition 2 would be winter in the northern hemisphere and summer in the southern hemisphere.position 3 would be spring in the northern hemisphere and autumn in the southern hemisphere.Position 4 would be summer in the northern hemisphere and winter in the southern hemisphere.

The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.

According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.

Learn more in:https://brainly.com/question/13761448

1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?

Answers

Answer:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

does anyone know the answer to this? will give brainliest

Answers

Answer: a

Step-by-step explanation:

Answer:

the answer is d. it is written in scientific notation.

Step-by-step explanation:

have a nice day!

Find the 12th term of the geometric sequence 2, 10,50,...

Answers

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Geometric sequence:

Important information:

Given geometric sequence is 2, 10,50,...

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

Find out more about 'Geometric sequence' here:

https://brainly.com/question/17321783

Answer: 97656250.

Step-by-step explanation:

dm

Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x + 3y= 29
ОА.
x = 8, y=4
B.
x = 6, y = 6
O C. x = 7, y= 5
OD
x = 9, y = 3

Answers

Answer:The answer is C

Step-by-step explanation:

When you plug it in 7*2 is 14+ 5*3 is 15 you add 14+15 you get 29 and then for the other equation you do 12-5 which gives you the x value of 7. Hope this helps.

The answer is C hope this helps..let me know

Dustin says the product of 4.5 x 0.8 is equal to 3.6. Which explains whether or not his answer is correct

Answers

It is correct because if you were to multiply 4.5 and 0.8 together, you would get 3.6

Rewrite
barrel
as a unit rate.
hour

Answers

Answer:

B. 2/5 barrel/hour

Step-by-step explanation:

cross multiply 1/5 and 2/1

=2/5

Can somebody please help me with this algebra assignment thank youu

Answers

Answer: you answer is -$150

Step-by-step explanation:

450 minus 200 minus 200 minus 200 and you get -$150

Choose the statistic that is considered a measure of spread.

Mean
Standard deviation
Mode
Median

Answers

Answer:

The standard deviation is considered a measure of spread.

Step-by-step explanation:

Standard deviation is basically considered a measure of spread, measuring how far data values are from their mean.

Standard deviation helps in determining the nature of the variation of the data about the mean.

For instance, in certain data sets, we may observe the same mean, but their range could be different, and data values in one data set may have been closely concentrated near the mean than the other data set values.

For example,

considering the data set

[tex]15, 15, 15, 14, 16[/tex]

The given data set has a mean: 15

considering the second data set

[tex]2, 7, 14, 22, 30[/tex]

The given data set has also a mean: 15

But, the values in the second data set are clearly more spread out. When the values of a data set are not spread out largely, then the set will have a low standard deviation.

Therefore, the standard deviation is considered a measure of spread.

To replace the trees destroyed by typhoon Yolanda, the forestry department of Tagaytay has developed a ten-year plan. During the first year they will plant 100 trees. Each succeeding year, they will plant 50 more trees than they planted the year before.

Answers

Answer:

a. 1,000 trees

b. 3,250 trees

Step-by-step explanation:

a. How many trees will they plant during the fifth year?

b. How many trees will they have planted by the end of the tenth year?​

Using the sum of an arithmetic progression formula

Sn = n/2 {2a+(n-1)d}

Where,

Sn = Sum of an n terms

n = number of terms

a = first term

d = common difference

a.

n = 5

a = 100

d = 50

S5 = n/2 {2a+(n-1)d}

= 5/2 {2*100 + (5-1)50}

= 5/2 {200+(4)50}

= 5/2{200 + 200}

= 5/2(400)

= 2,000 / 2

= 1,000

S5 = 1,000 trees

b. Sn = n/2 {2a+(n-1)d}

n = 10

a = 100

d =50

S10 = 10/2{2*100 + (10-1)50}

= 5{200 + (9)50}

= 5{200 + 450}

= 5(650)

= 3,250

S10 = 3,250 trees

How do you solve this problem (3x-2)^3

Answers

216 I think because 3 times negative 2 is -6 the -6^3=6*6*6=216

What do static electricity and current electricity have in common.

Answers

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

write an equation that is parallel to 3x — 2y = 14 and passes through the point (-6,-11)

Answers

the parallel line is y=3/2x-2

Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°

Find mBOC:

Answers

The answer is 47 and here are the steps.

what is 2² of 36
you can use google or a calculator

Answers

Answer is 144 my dude

it's tooo easy

answer -1296

if it takes 16 yards of material to make costumes, how much material will be needed to make costumes of that same size?
A.
60.8 yards
B.
50.7 yards
C.
40 yards
D.
34 yards

Answers

Answer:

Need more information, will get back to you.

Step-by-step explanation:

How many costumes does she want to make?

Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10.0 + 20 = 80
B. 200 + 10 = 80
C. 80.0 - 200 = 10
D. 102 + 20= 80

Answers

Answer:

what none of these make sense

HELP PLS

Which expressions shows a correct way to set up the slope formula for the line that passes through the points (5, 0) and (6, -6)?

Answers

Answer:

-6-0

____

6-5

Step-by-step explanation:

its suppose to be a fraction hope it helps please mark brainliest

Which is the definition of a ray

Answers

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

7h+h²
PLEASE HELP
.
.
.
.
.

Answers

Answer:

what grade are you in

Step-by-step explanation:

Answer:

h(7+h)

Step-by-step explanation:

You would need to factor the h out of ([tex]7h+h^{2}[/tex])

The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me ​

Answers

Answer:

Line 2 ║ Line 3

Step-by-step explanation:

y = mx + b

~~~~~~~~~~

Line 1: y = - 7x + 6

Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18

Line 3: y = - 3x - 8

Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]

[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex]  ⇒  Line 2 ║ Line 3

round 8.923 to the nearest half

Answers

Answer:

The answer is 8.9

PLEASE MARK BRAINLIEST

Answer:

8.9

Step-by-step explanation:

simplify (-sqrt of 125)^3

Answers

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125} =5*5*5=5[/tex]

What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

Other Questions
A synonym for mastery might be:instinctinvolvementexpertisebossiness I need the answer quickly Which of the following statements correctly describes a difference between plant cells and animal cells?2 pointsA. Plant cells have an envelope surrounding the nucleus. Animal cells do not.B. Animal cells contain mitochondria. Plant cells do not.C. Animal cells contain chloroplasts. Plant cells do not.D. Plant cells are surrounded by a cell wall. Animal cells are not. Read the excerpt then in at least 200 words, discuss the form of this excerpt from A Midsummer Night's Dream. How do literary devices such as rhyme, meter, and symbolism convey meaning? What is the advantage of using new models like Warn-on-Forecast to predict the weather? They make weather predictions once every two hours. They are accurate because they process small amounts of data. They increase the amount of time between when a warning is issued and the time the tornado hits. They use Doppler radar instead of analyzing surface data to forecast severe weather conditions. Help me please!!REALLY FAST PLEASE The vertices of her garden are located at the points (1,5), (4,2) and (9,4) on a coordinate grid. If each unit on the grid represents a foot and the material costs $8 per foot, how much will she pay for the material on the side between points (1,5) and (4,2)? im so confused, can someone explain this to me? i suck at math Kristin has 4 more headbands than Nikki does. Together they have 30 headbands. The equation h + (h+ 4) = 30 can be used todetermine the number of headbands each girl has. What part of the equation represents the number of headbands Kristin has?A:hB:h+4C:4D:30 Gable Company uses three activity cost pools. Each pool has a cost driver. Information for Gable Company follows: Activity Cost Pool Total Cost of Pool Cost Driver Estimated Total of Cost Driver Machining $ 312,000 Number of machine hours 80,000 Designing costs 73,600 Number of design hours 8,000 Setup costs 71,600 Number of batches 500 Suppose that Gable Company manufactures three products, A, B, and C. Information about these products follows: Product A Product B Product C Number of machine hours 30,000 40,000 10,000 Number of design hours 3,200 1,800 3,000 Number of batches 50 175 275 Required:Determine the amount of overhead assigned to each product. Which one would be felt louder: a sound with a SIL of 60dB and a frequency of 40Hz or a sound with a SIL of 60dB and a frequency of 100Hz ? a) they both will appear to have the same loudness b) sound with a SIL of 60dB c) sound with a SIL of 60dB and a frequency of 1000Hz d) whichever is sounded first e) cannot say and a frequency of 40 is it hard to get a job at chik fil a? kinda stupid question ik, I just really need money. if so any recommendations? You purchased concentrated cleaner that must be diluted (watered down)before use. Container A is the cleaner, which is a 20% solution. Container B ispure water. You are mixing together the contents of Container A andContainer B to produce 80 gallons of 5% solution. How many gallons fromeach container are needed to create the 80 gallons of 5% cleaning solution?Write your answers as integers only.Container A: 20% Cleaning Solution =gallonsContainer B: Pure Water =gallons If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges? 8. The following system contains 20.0 psi each of gases A and B in the end bulbs with an evacuated bulb in the centre. Both stopcocks are opened at once. What is the new overall pressure in the system?I literally have no idea how to even start this, I know that the answer is 13.3 psi, but I don't have any clue why or how to get there. choose all that apply Explain how one celled organisms get oxygen in water. if f(x) = x^2+3x-2, find f(-2) During which decade did the US pursue a policy of isolationism?1910s1920s1930s1940s Write the equation in y=Mx+B