ABC is similar to XYZ. The lengths of two sides of each triangle are given in the figure. Find the length of side x.

Answers

Answer 1

Answer:

x=7/3

Step-by-step explanation:

AB/XY=BC/YZ

Answer 2

The length of {x} is equivalent to 7/3 units.

What is scale factor? How it is used in Dilating sides?

Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -

K = a/b.

Rewriting, we get -

a = Kb

If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka].

Given is that ABC is similar to XYZ.

Since, the two triangles are similar, than their corresponding sides will be proportional to each other. This means that the ratio of corresponding sides will be equal. Mathematically -

BC/YZ = AB/XY = AC/YZ = K [scale factor]

We can write -

8/(2[tex]\frac{2}{3}[/tex]) = 7/x

8/(8/3) = 7/x

8 x 3/8 = 7/x

3 = 7/x

x = 7/3

Therefore, the length of {x} is equivalent to 7/3 units.

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Related Questions

sadie bought 9 cans of peaches for ,$12 at the rate how much would she pay for 21 cans of peaches​

Answers

$27.93

You want to know how much she payed for 1 can. So you divide $12 by 9 cans. For one can, she paid $1.33. Now multiply that by 21 cans.
1.33•21=27.93

For 21 cans she has to pay $28.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

cost of 9 cans = $12

cost of 1 can= 12/ 9

                    = 4/3

Now, cost of 21 cans = 21* 4/3

                                   = 7*4

                                   = $28

Hence, for 21 can she has to pay $28.

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here is some info about a play

starts at 7:30

1st act lasts 46 min

interval 20 min

2nd act 53 min

what time does the second act end

Answers

Answer:

The answer would be 9:29

Step-by-step explanation:

7:30 and add 46 min would be 8:16

8:16 and 20 min would be 8:36

8:36 and 53 min would be 9:29

(5.8 x 10^-6): (2 x 10^-3) =
Find the quotient .
write answer in Scientific notation

Answers

The answer is 2.9 x 10^-3. You can just divide 5.8 and 2. You get 2.9. After when ever you are Dividing exponents you have to subtract the power. So (-6)-(-3) is just -3. So when you put it together you get 2.9 x 10^-3

Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years:
5.4% compounded monthly or 5.5% compounded quarterly?

Answers

5.5% quarterly would give you slightly more.

becky adds 11 new videos to instagram per week. She currently has 1,577 videos.

Write an expression that represents the number of videos Charli will have in w weeks.

Answers

Answer:

1577 + 11w

Step-by-step explanation:

The entrance to an accessibility ramp is at ground level
The first section of the ramp covers a horizontal distance of 18 feet and rises to a
landing 1.5 feet above the ground
The second section of the ramp begins at the landing, it rises at a slope of t; and
covers another 9 feet of horizontal distance to reach the door
Second section
First section
Door
13 feet
ber
NOTE Sketch not drawn to scale
Answer the questions to compare the sections of the ramp
1. What is the slope of the ramp from the ground to the landing? Write your answer
as a fraction with a whole number numerator and denominator
Write your answer in the space below.

Answers

Answer:

250 feet

Step-by-step explanation:

Answer:

1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing

2)slope is the change in height, the vertical change, divided by the change in horizontal distance

3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot

4)slope = 1/18 = (1/2)/9  

5)the door is 2 feet higher than the ground level,  1.5 + .5 = 2 feet change vertically

A snack-size bag of carrots has a mean weight of 1.75
ounces and a standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure
and found that it weighed 1.68 ounces.

What is the Z-score for the snack-size bag of carrots
that Kendra measured?

A. -0.70
B. -0.07
C. 0.07
D. 0.70

Answers

Answer:

The person above is right,

the answer is (A) -.70

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A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?

Answers

If the number of  seats that are in the last row is 1100 seats.

Number of seats

First row=20

Second row=22

Third row=24

A.P = 20,22,24,…

a=20

d=22−20=2

n=25

Using the formula of the sum of the first n terms of an A.P

Sn=n/2[2a+(n−1)d]

S25= 25/2 [2×20 +(25-1) 2]

S25 = 12.5 [40 +24 ×2]

S25=​ 12.5 [88]

S25= 1100

Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of  seats that are in the last row is 1100 seats.

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Linear, exponential or neither?
ao = 2; an = an-1 + 4
A Linear
B Exponential
C Neither

Answers

Answer:

Linear

Step-by-step explanation:

The previous term plus 4.

1, 5, 9, 13 plotting these points would make a straight line!

Every 6th customer at the flower shop receives a free rose, and every 9th customer receives a free lily.
Which customer will be the first to receive a free rose and a free lily?

Answers

Answer: 18th customer

Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

The customer who will be the first to receive a free rose and a free lily is 18th customer

Given:

Every 6th customer = free rose

Every 9th customer = free Lily

Which customer will be the first to receive a free rose and a free lily?

find the lowest common multiple of 6th and 9th customer

6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

9th customer = 9, 18, 27, 36, 45, 54, 63

The lowest common multiple of 6th and 9th customer is 18

Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer

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What is 8 divided by 3/5= ?

Answers

The answer is 13 1/3 or 13.333333333
8 x 5/3 = 13 1/3

Answer:

0.075

Step-by-step explanation:

Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Leave your answer in simplest form in the form of a/b − c/d

If one of your numbers is a whole number, put a 1 in that denominator

Answers

well what i got was:

the exact form: 233/28

decimal form: 7.96428571...

mixed number form: 7 27/28

not sure if this is right at all but i hope it helps at least a little

hi

1/7 * (56 -1/4) =   56/7 - 1/28  =   224/28 - 1/28 =  223 /28  

as 223 is  prime, it's cannot be simplified.   however  it 7 +27/28

Name the two congruent angles. Be sure to use three letters to name each angle.

Answers

Answer:

b and c

Step-by-step explanation:

looking at the markings

Answer:

The person above is correct. It is b and c.

Step-by-step explanation:

This is because both sides are equal. And while this isn't the best explanation,  my reasoning is because if you were to cut it in two and flip one side over the other side they would be equal. Also since all sides are not equal all are not the same angle. Apologies if this doesn't make sense, I am not good and explaining stuff. Best of luck on the assignment.

where can I find about slopes in homework 5 unit 3

Answers

Answer:

idk

Step-by-step explanation: sorry im in unit 6 in science im working on rn

baiiii

can you please help me with this question ​

Answers

Answer:

B. 4 mL

Step-by-step explanation:

Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.

Answers

Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.

Step-by-step explanation:

I will give you brainliest

Answers

Answer:

3 /4 I think

Step-by-step explanation:

Jessica has an account with a credit union. Her account earns 2.6% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.

How much interest has she earned so far?

Answers

35.1

(2.6*900*1.5)/100

Answer:

$35.1

Step-by-step explanation:

2.6% of 900 = 23.4

Since it's a year and a half you might want to divide by two.

2.6/2 = 1.3

1.3% of 900 = 11.7

add them up,

23.4 + 11.7 = 35.1

It's asking for how much she EARNED not HAS in her bank account in 1.5 years. So include what she earned with interest, do not include the 900 dollars because she didn't earn it with interest, she already had that.

Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)


Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?

Answers

Answer:

(-3.5,4)b

Step-by-step explanation:

Which percent is modeled? 9% 19% 91% 99%

Answers

Answer:

9%

Step-by-step explanation:

Count the squares side which is 10

Then Count the bootom side of the square which is 10

10 x 10 =100

Now count how many squares are filled. 9

9/100=9%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

Total value = b

Percentage = a/b x 100

The percent modeled is 9%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

Total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of cells in the box = 100

Number of shaded cells = 9

The percentage of the shaded cells.

= (Number of shaded cells / Total number of cells) x 100

= 9/100 x 100

= 9%

Thus,

The percentage of shaded cells is  9%

The percent modeled is 9%.

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ula for a Variable
The surface area of a cone is given by the formula
S = nil + n0r2 Solve the formula for l.
0 1=S - p2
O l=S+ p2
Ol= $ - p2
TT
01 = 5 +2.
1=
TT

Answers

Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

What is surface area?

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

given the function f (x) = 2(x + 4), find x if f (x) = 20

Answers

20 = 2(x + 4)
20 = 2x + 8
2x = 12
x = 6

Answer:

x=6

Step-by-step explanation:

f(x)=2(x+4)

20=2(x+4)

10=x+4

6=x

x=6

PLEASE MATCH THE ANSWERS

Answers

Answer:

Step-by-step explanation:

Triangle is

obtuse and

isosceles

This graph represents a linear relationship between x and y. Which equation best represents the relationship shown in this graph? y=35x y=−53x y=53x y=−35x

Answers

Answer:

y= 5/3x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i took the test and it gave me the answer.

What is the change in temperature from 20 degrees F dropping to -33 degrees F?

Answers

Answer:

53 degrees.

Step-by-step explanation:

Your just finding the difference or the "change" So I did 20+33=53.

Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.

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cual es la formula del rombide.help me​

Answers

Answer:

Step-by-step explanation:

The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).

B is the base of the rhomboid and a is the length of the side of the rhomboid.

Hope this helped! If so, plz mark brainliest.

If a car travels 23 miles in 20 min what is the. car speed in miles per hour?​

Answers

Answer:

69 miles per hour

Step-by-step explanation:

car travels 23 miles in 20 min

So 20 min=20/60hour

=1/3. hour

Speed of the car=23÷1/3

=69 miles/hour

So the final answer is 69miles/hour

Volunteer drivers are needed to bring ​24 students​ to the championship baseball game. Drivers either have cars, which can seat ​4 students​, or vans, which can ​seat 6 students​. There is a​ total of 5 cars and vans​.

Answers

Answer:

34

Step-by-step explanation:

A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.

1. Is ADE similar to ABC'? How do you know? *

Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.

2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?

2,700 ft
1,600 ft
2,100 ft
2,400 ft

3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft

Answers

Answer:

1. Yes. Two or more angles are equivalent

2. 2700 ft

3. 3000 ft

Step-by-step explanation:

1.

∠EAD = ∠CAB (same angle)

∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)

2.

1200:3600

1:3

This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:

900 x 3 = 2700

3.

We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:

1000 x 3 = 3000

Consider the figure, where segment M N is parallel to segment RP.

What is the value of x?

Answers

4/3



I had that same question before could you please give me a thanks
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