Assume the following triangles are similar. Find the scale factor and the lengths of the missing sides.
Also it got cut of in the image but it says and the lengths of the missing sides.​​

Assume The Following Triangles Are Similar. Find The Scale Factor And The Lengths Of The Missing Sides.Also

Answers

Answer 1

Answer:

If two figures are similar, then the correspondent sides are related by a constant factor.

For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.

Let's start with the two left triangles.

In the smaller one the base is 5, and the base of the other triangle is 15.

Then we will have:

15 = k*5

15/5 = k = 3

The scale factor is 3.

Then we will have that:

a = scale factor times the correspondent side in the smaller triangle:

a = k*3 = 3*3 = 9

a = 9

For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.

Then we will have the relation:

12*k = 20

k = (20/12) = 10/6 = 5/3

The scale factor is 5/3

This means that the unknown side b is given by:

b*(5/3) = 15

b = (3/5)*15 = 3*3 = 9

b = 9.


Related Questions

2x-2=7x+2
resuelve la siguiente ecuación​

Answers

El decimal es -0.8 y la forma exacta es -4/5

find the total cost of a cylindrical block made of playing clay,which costs AED 0.50 per cubic centimeter,if the radius of the block is 1 cm and the length is 12 cm

Answers

Answer:

$18.84

Step-by-step explanation:

volume = πr²L = (3.14)(1²)(12) = 37.68 cm³

37.68 cm³ x 0.50 per cm³ = $18.84

need helpplz i struggling ​

Answers

7^2+18^2=49+324

49+324=373

19.31^2 would be your answer

simplify rewrite the expression in the from
PLEASE HELP

Answers

Answer:

[tex]z^2^1[/tex]

Step-by-step explanation:

[tex]\frac{z^7}{z^-^1^4}[/tex]

[tex]=z^7^-^(^-^1^4^)[/tex]

[tex]=z^2^1[/tex]

25 N
10N
15 N
5. Net Force:
6. Direction of Movement:

Answers

10 N is correct give m brainlist pleaseeee !:)

An amount of $49,000 is borrowed for 7 years at 6% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

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Answer:69580

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hmm. 45 thousand dollars at 4.5 percent compounded annually for 13 years?

After one year the loan would accrue 4.5% interest, which is 0.045 times $45,000 dollars. Added to the base ($45000) this is (1 + 0.045)* $45,000, or $47,025. (Just over two thousand dollars interest.)

After two years we do this again with the new base, so it is $47,025 times (1.045), or $45,000 times (1.045) times (1.045) which can be written:

45000(1.045)2=49141.125  dollars.

You can see where this is going, I hope. After the thirteenth year we get:

45000(1.045)13≏79,748.8243759089  dollars.

So the answer to your question is $79,749, to the nearest dollar.

What is the next number in the following pattern?
15, 27, 39, 51,
O A. 63
O B. 57
O C. 59
O D. 65

Answers

Answer:
A

Explanation:
the common difference is 12. 51+12= 63

3(x+5)= 30 divided by 5

Answers

Answer:

x=-3

Step-by-step explanation:

I have a formula

The solution to the equation 3(x + 5) = 30 ÷ 5 is x = -3.

Given that the equation 3(x + 5) = 30 ÷ 5

In the order of operations (PEMDAS/BODMAS), the following steps are given:

Parentheses: There are no parentheses in the expression, so move to the next step.

Exponents: There are no exponents in the expression.

Multiplication and Division: Perform multiplication and division from left to right.

4 × 2 = 8

6 ÷ 3 = 2

After performing the multiplication and division, the expression becomes: 3 + 8 - 2

Addition and Subtraction: Perform addition and subtraction from left to right.

3 + 8 = 11

11 - 2 = 9

Thus, the simplified value of the expression 3 + 4 × 2 - 6 ÷ 3 is 9.

To solve the equation , follow the order of operations (PEMDAS) and simplify both sides step by step.

Let start with the left side of the equation:

3(x + 5)

Using the distributive property, multiply 3 by each term inside the parentheses:

3x + 3 x 5

3x + 15

Now the equation becomes:

3x + 15 = 30 ÷ 5

Next, simplify the right side of the equation:

30 ÷ 5 = 6

Substituting the simplified value, the equation becomes:

3x + 15 = 6

To isolate the variable x, subtract 15 from both sides of the equation:

3x + 15 - 15 = 6 - 15

This simplifies to:

3x = -9

Finally, divide both sides of the equation by 3 to solve for x:

(3x) / 3 = (-9) / 3

This gives :

x = -3

Therefore, the solution to the equation 3(x + 5) = 30 ÷ 5 is x = -3.

Learn more about solving equations and the order of operations click here:

https://brainly.com/question/28468983

#SPJ6

Take your time if you need to. I need a correct answer

Answers

Answer:

6 glasses of water

Step-by-step explanation:

This is fairly simple as we already have the equation

x+y=10 ---> x=10-y

8x+12y=96

now substitute

80 -8y  + 12y = 96

4y= 16

y=4

if y = 4

x+4=10

x=6

Mark drank 6 glasses of water

What’s the answer?!!!!!!!

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Answer:

[tex]yes \\ because \\ 28 ^{2} + {96}^{2} = {100}^{2} [/tex]

Please Thank you so much

Answers

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

i need help asap please! tia​

Answers

Answer:

Answer is b. The distance between -5 and 0.

Step-by-step explanation:

PLZ HELP ME I WILL MARK BRAINLIEST
The survey results of the towns favorite holiday were displayed in a newspaper as described

37% of people enjoy Fourth of July
28% of people enjoy New Years Eve
42% of people enjoy Memorial Day
5% of people enjoy all three
12 % of people enjoy New Years Eve and Memorial Day
18 % of people enjoy Fourth of July and New Years Eve
13% of people enjoy Memorial Day only
What percentage of people enjoy New Years Eve only?

Answers

Answer:

28%

Step-by-step explanation:

Also,

Written in the sentence only that,

28% of people enjoy New Years Eve

Of 2nd Option.

How does making a frequency table or line plot help you see which value occurs most often in a data set?

Answers

Answer: https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/a/dot-plots-and-frequency-tables-review

Urgent plz help this is a test
answers r
4cm
5cm
11cm
18cm

Answers

5cm
13^2-12^2=25
C^2 = 25
C = 5

Find the length of arc JK. Round to the nearest hundredth.

Answers

Answer:

theres nothing there

Step-by-step explanation:

-9(14d - 13e) =
*As an expression*

Answers

Answer:

Solution given:-9(14d - 13e) =117e-126d is your answer

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

A 2-column table with 5 rows. Column 1 is labeled number of tickets with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.29, 0.44, 0.19, 0.06, 0.02.

What is the standard deviation of the distribution?

0.89
0.95
1.41
1.99

Answers

According to the discrete distribution given, the standard deviation is of 0.95.

The distribution is:

[tex]P(X = 1) = 0.29[/tex]

[tex]P(X = 2) = 0.44[/tex]

[tex]P(X = 3) = 0.19[/tex]

[tex]P(X = 4) = 0.06[/tex]

[tex]P(X = 5) = 0.02[/tex]

The expected value is given by the sum of each value multiplied by it's respective probability, hence:

[tex]E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02(5) = 2.08[/tex]

The standard deviation is the square root of the sum of the difference squared of each value and the mean, multiplied by it's respective probability, hence:

[tex]\sqrt{V(X)} = \sqrt{0.29(1-2.08)^2 + 0.44(2-2.08)^2 + \cdots + 0.02(5-2.08)^2} = 0.95[/tex]

The standard deviation is of 0.95.

A similar problem is given at https://brainly.com/question/25653146

Solve for x.

5x-29> -34 or 2x+31<29

Answers

Answer:

Is there more to this question?

For the first inequality, x > -1

For the second inequality, x < -1

Step-by-step explanation:

5x - 29 > -34

add 29 to both sides

5x > -5

divide both sides by 5

x > -1

-----------------------------------------------------

2x + 31 < 29

subtract 31 from both sides

2x < -2

divide both sides by 2

x < -1

Help! What’s the answer? I’m stuck on this question

Answers

the slope would be positive 13/6

Answer:

C. [tex]\frac{13}{6}[/tex]

Step-by-step explanation:

formula for slope is [tex]\frac{y2-y1}{x2-x1}[/tex]

So,

[tex]\frac{6-(-7)}{1-(-5)}[/tex]

which leaves you with

[tex]\frac{13}{6}[/tex]

Which of the following graphs best represents the solution to the pair of equations below? (4 points)

y = −x + 6
y = 2x − 3

graphs:

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3.

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5.

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3.

A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.

Answers

Answer:

First graph option: A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x-axis at 6. The other line passes through the y axis at negative 3 and the x-axis at 1.5. The lines intersect at point 3 commas 3.

Step-by-step explanation:

i)  y=-x+6

ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

i)  y=-3+6=3

ii) y=2(3)-3=6-3=3  

In graphs, this means that the lines intersect at (3, 3) ONLY

Answer: The graph where the lines intersect at (3, 3)

its a

I got it right om my exam

HELP ASAP PLEASE!! GIVING BRAINLIEST


What is the distance between these points on a coordinate plane?


(-4,1) to (-7,6)


a

12.1

b

11.3

c

5.8

d

3.2

Answers

I think it d
Explaining

Mary bought a desk on sale for 88.40. This price was 74% less than the original price.
What was the original price?

Answers

Answer: 340

Step-by-step explanation:

100 - 74 = 26%

26% = .26

x * .26 = 88.4

   /.26    /.26

x = 340

check

340 * .74 = 251.6

340 - 251.6 = 88.4

Gia's rectangular patio is 27 feet long. The ratio of the length to the width is 6 to 4. What is the width of Gia's patio in yards? Hint: 3 feet = 1 yard.

I need help

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Answer:

tttttttttttttttttttttttttttttttttttttttttttttttt ty

Step-by-step explanation:

please help with these two Q

Answers

Answer:

2

Step-by-step explanation:

2 for sure Yur you got it yurrr

The equation v=129t gives the number of views v for a video after t hours. Identify the independent and dependent variables. I will give brainliest

Answers

Answer:

yes ‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️❤❤❤❤❤❤❤❤❤❤❤

Please help will give brainliest

Answers

Answer:

the answer is B

Step-by-step explanation:

14+24=38

then

7+12=19

19 ×2 =38

Plz help quickly so I can pass

Answers

Answer:

the answer is 24.8

19^2+16^2=617

sqrt of 617 is 24.8

Step-by-step explanation:

The answer would be is 24.8 ;)

What is a decimal that is equivalent to 3722 hundredths?

Answers

Answer:

37.22

Step-by-step explanation:

Answer:

37.22

Step-by-step explanation:

Please for the love of god anwser my question lay correctly I really need your help :( I will give 25 points :)! This is geometry
I need help asap it's rn​

Answers

Answer:

[tex] \displaystyle \rm A_{ \text{c - pentagon}} =41[/tex]

[tex] \rm \displaystyle P _{ \rm c - pentagon} = 20+ 4 \sqrt{2} [/tex]

Step-by-step explanation:

we have a square and a triangle

we want to figure out the area and the perimeter of the pentagon

to figure out the area of the pentagon we can use the given formula:

[tex] \displaystyle \rm A_{ \text{c - pentagon}} = A_{ \text{squre}} - A_{ \text{triangle}}[/tex]

let's figure out [tex]A_{\rm square}[/tex]:

since the given shape is a square Every angle of its 90° Thus the triangle is a right angle triangle

therefore the height is 4

[tex] \displaystyle A _{ \rm triangle} = \frac{1}{2} \times b \times h[/tex]

substitute h and b

[tex] \displaystyle A _{ \rm triangle} = \frac{1}{2} \times 4 \times 4[/tex]

reduce fraction:

[tex] \displaystyle A _{ \rm triangle} = 2 \times 4[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm triangle} = 8[/tex]

likewise square

[tex] \displaystyle A _{ \rm squre} = {s}^{2} [/tex]

substitute s:

[tex] \displaystyle A _{ \rm squre} = {7}^{2} [/tex]

simplify square

[tex] \displaystyle A _{ \rm squre} = 49[/tex]

hence,

[tex] \displaystyle \rm A_{ \text{c - pentagon}} =49- 8[/tex]

[tex] \displaystyle \rm A_{ \text{c - pentagon}} =41[/tex]

to figure out perimeter

let's figure out hypotenuse first

[tex] \displaystyle h = \sqrt{ {4}^{2} + {4}^{2} } [/tex]

[tex] \displaystyle h = \sqrt{ 16 + 16} [/tex]

[tex] \displaystyle h = 4 \sqrt{2} [/tex]

therefore,

[tex] \rm \displaystyle P _{ \rm c - pentagon} = 3 + 3 + 4 \sqrt{2} + 7 + 7[/tex]

[tex] \rm \displaystyle P _{ \rm c - pentagon} = 6 + 4 \sqrt{2} + 14[/tex]

[tex] \rm \displaystyle P _{ \rm c - pentagon} = 20+ 4 \sqrt{2} [/tex]

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