solve similar triangles (advanced)

Solve Similar Triangles (advanced)

Answers

Answer 1

Answer:  18/7

This approximates to 2.5714

=====================================================

Explanation:

The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.

Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:

side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADE

As those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.

From that, we can form the proportion below to solve for x

AB/AD = BC/DE

3/(3+4) = x/6

3/7 = x/6

3*6 = 7*x

18 = 7x

7x = 18

x = 18/7

You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.


Related Questions

what is 80,704 rounded to the nearest 10 thousand

Answers

80,000

Just look at the number in the ten thousand place and check if you have to round up or down.

Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2

Answers

Answer:

15 in the correct answer

3/5 of a number is 30. What’s the number?

Answers

The number is 50

3/5x=30
Multiply each side by 5/3
x=50
Answer:a = 50Step-by-step explanation:3/5 x a = 30=> 3a/5 = 30=> a/5 = 10=> a = 50Conclusion:

Therefore, the number is 50.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

SOS l don’t understand please help me

Answers

Answer:

that's the answer hope it helps to you

please help me, i dont really understand this

Answers

Answer:To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator. or this might also help,

Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.

Step-by-step explanation:

Hope this help

On a coordinate grid, point P is at (4, 3) and point R is at (−2, −5). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S?

Q(−4, 3), S(2, −5)
Q(4, −3), S(−2, 5)
Q(−4, −3), S(2, 5)
Q(−4, 3), S(−2, 5)

Answers

The second option would be correct!

Answer:

The answer would be B!

Step-by-step explanation:

Mario and Andrew's hourly charge for mowing lawns is shown.

Mario: $8.25/h
Andrew: $5.85/h
Suppose Mario and Andrew each worked for 20 hours. About how much more money did Mario earn?

Answers

about $40 explanation. in this problem you need to round and multiply so round each number 8.25 rounds to 8 and 5.85 rounds to 6 multiply each by 20 and then subtract the greater number by the less number.

An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?

Answers

Answer: so Miguel payed $33

steps:

1. first find what 40% of $55 which gives us $22

2. Final Price = Original Price - Discount

Final Price = 55 - 22

Final Price = $33.00

Find the value of x





First person to answer correctly gets brainliest.

Answers

Answer:

x is 54

Step-by-step explanation:

90-36=54

Determine the two positive integers each square root falls between.


10. ✔️28


11. ✔️3


12. ✔️59


13. ✔️115


14. ✔️772


15. ✔️140

Answers

Answer:

  10. (5, 6)

  11. (1, 2)

  12. (7, 8)

  13. (10, 11)

  14. (27, 28)

  15. (11, 12)

Step-by-step explanation:

If you're not familiar with the squares of small integers, your calculator can help you figure this.

10. √28 ≈ 5.291 . . . . between 5 and 6

11. √3 ≈ 1.732 . . . . between 1 and 2

12. √59 ≈ 7.681 . . . . between 7 and 8

13. √115 ≈ 10.724 . . . between 10 and 11

14. √772 ≈ 27.785 . . . . between 27 and 28

15. √140 ≈ 11.832 . . . . between 11 and 12

These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in

Answers

Answer:

2/9

Step-by-step explanation:

It would be appreciated if there could be an explanation along the answer

Answers

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

What's the area of a triangle and circle?

Answers

Answer:

Formula?

Step-by-step explanation:

Triangle = Area = 1/2bh

circle = Area = pi x r^2

Hope it helps

Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .

Answers

Answer: $42

Step-by-step explanation:

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

How many minutes make a hour

Answers

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

60 minutes equal a hour

explain please i dont get it

Answers

Answer:

.........................

......

add (7x^2-3 x)+(5x-6)

Answers

Answer:

Step-by-step explanation:

(

4

x

)<(

15

5(5x−2)−3(7x−3)

)

(

4

x

)<(

15

25x−10−21x+9

)

(

4

x

)<(

15

4x−1

)

15x<16x−4

4<x

∴x∈(4,∞)

Someone help me with this please

Answers

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

Twelve is sixteen less than four times a number. Write it as a mathematical statement.

Answers

Answer:

12=4x-16

x would represent the unknown number.

Need help SOS l don’t understand

Answers

Answer:

−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!

What is the area of a cross section that is parallel to
face ABCD?
Enter your answer in the box.
cm2

Answers

Answer:

1296cm².

Step-by-step explanation:

= 12×36×6÷2 ................

plz check weather correct or notn

given that 3^y=243:find the value of y​

Answers

Answer:

5

Step-by-step explanation:

So lets do this slowley

3x3=9

9x3=27

27x3=81

81x3=243

It took 5 threes or 3x3x3x3x3 to get 243

Answer:

y=81, try that for answer

Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

what is the ration of 8 lions and 4 tigers

Answers

Answer:

the ration is 2:1 when simplified

How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without rounding.

Answers

Answer: 91.44

Step-by-step explanation:

There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48

30.48 x 3= 91.44

I hope this helps!

How do I simplify the expression 7^0+7^2 over (7^3)^2

Answers

[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]

Ok done. Thank to me :>


3. You miss a free throw 3/10 of the time
A) likely
B) unlikely
C) certain
D) equally likely

Answers

Out of every 10 free throws, you miss only 3.

Converting to a percentage: 3/10 = .3 x 100 = 30%.

Therefore, 3/10=30%. So, you only miss 30% of the time, which means that you make the free throws 7/10 of the time or 70%.

The answer would be that you are likely to make the free throws, so answer A.) is correct.

You miss a free throw 3/10 of the time is unlikely event. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, miss a free throw 3/10 of the time.

Here, 3/10 =0.3

The total probability is always equal to unity.

If the event is “certain” to happen, the probability will be 1.

If the event is “likely” to happen, the probability will be between 1/2 and 1.

If the event has an “equal chance” to happen or not, the probability will be 1/2.

If the event is “unlikely” to happen, the probability will be between 0 and 1/2.

You miss a free throw 3/10 of the time is unlikely event.

Therefore, option B is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.

Other Questions
can someone help me with this math problem? Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?#1. 500+15m1000+5m#3. 500m+151000m+5 Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition Which of these options is a compound sentence?Choose 1 answer:A: Sweetie the bull stamped his feet and snorted in the pen.B: Sweetie the bull stamped his feet, and he snorted all over the pen.C: Sweetie the bull stamped his feet in the pen, snorting as he did. Healthy ways of coping with stress include developing refusal skills, getting sleep, and planning ahead. Please select the best answer from the choices provided. T F Mark this and return What is 2 + 7?i have to write 20 characters to get a great answer apparently so just ignore this 8(4p + 3) please and thanks what hormone makes girls emotional on their period Why was Jefferson against the Missouri Compromise in the 1960s new left organizations sought reform in the following areas except: Help Asap I am stuck suppose the value of an investment increases 12% per year and the investment has a current value of 33,00.00 which equation models the value of this investment after x years? Given the system: 3x-3y=9 -9x+12y= -30What number would you multiply the TOP equation by to eliminate your "x" values with addition? Please help, very urgent!!!! 50 points!! African masks have been for about 10,000 years.TrueFalse the external urethral sphincter is under ___________ control. So the answer is all of that Prueba 2B-1 vocabulary recognition what are the answers hi what kind of popsicle stick structure do you want me to do. Solve the following system of equations.4x + 7y= 18- 7x - 8y = -23X =y = if a car travels for 3 hours its average speed is 75km/h work out the total distance the car travels