Mathematics High School

GEOMETRY - triangle similarity

GEOMETRY - Triangle Similarity

Answers

Answer 1

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

Answer 2

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Related Questions

Help ASAP !!!!!!!!!!!!!!!!!!

Answers

Answer:

1

Step-by-step explanation:

it's basically the peak/ center.

1.............................

the solution set for an inequality refers to​

Answers

Answer:

Step-by-step explanation:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?

Answers

Answer:

(a) discriminant is positive, 76

(b) the above tells you there are two real roots

Step-by-step explanation:

the discriminant is 'b² - 4ac'

3x² - 2x - 6 = 0  ∴ a = 3, b = -2, c = -6

(-2)² - 4(3)(-6) = 4 + 72

(a) The discriminant of the quadratic equation is positive, 76.

(b) The quadratic equation tells you there are two real roots.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.

Given that the quadratic equation 3x²-6=2x.

The discriminant Of the quadratic equation is calculated by the formula below:-

D = b² - 4ac

3x² - 2x - 6 = 0  ∴

a = 3, b = -2, c = -6

Put the value of the coefficient to get the value of the discriminant.

D = (-2)² - 4(3)(-6) = 4 + 72 = 76

Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots

To know more about a quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

is 8x+2x equivalent to 8+2x?

Answers

Answer:

As long as I know if it's not the same then its not equal, because if you solve it they will give you different answers.

15 POINTs_ NEED ASAP!
Tell whether the following statements are true or false, explain the reasoning.

Answers

Answer:

Step-by-step explanation:

1 TRUE

A number is always 100%  Anyting bigger than 100% is going to be a bigger number

  Anything smaller than 100% is a smaller number

2FALSE   5/100 = 0.05 and NOT 0.5

0.5% is the same as thalf of 100%    = 50%

   50/100  = 5/10  = 0.5

what is the value of this​

Answers

Answer: 5.0625 or 5 1/16

Step-by-step explanation:

im smart

A triangle has side lengths of
(x-8) (4x2 – 3) and (4x2 + 4).
If the perimeter is 650 units, what is the value of x?​

Answers

Given:

The three sides of a triangle are:

[tex](x-8),(4x^2-3),(4x^2+4)[/tex]

The perimeter of the triangle 650 units.

To find:

The value of x.

Solution:

Perimeter of a triangle is the sum of all three sides of the triangle. So,

[tex]Perimeter=(x-8)+(4x^2-3)+(4x^2+4)[/tex]

[tex]Perimeter=8x^2+x-7[/tex]

The perimeter of the triangle 650 units.

[tex]8x^2+x-7=650[/tex]

[tex]8x^2+x-7-650=0[/tex]

[tex]8x^2+x-657=0[/tex]

Splitting the middle term, we get

[tex]8x^2+73x-72x-657=0[/tex]

[tex]x(8x+73)-9(8x+73)=0[/tex]

[tex](x-9)(8x+73)=0[/tex]

Using zero product property, we get

[tex](x-9)=0\text{ and }(8x+73)=0[/tex]

[tex]x=9\text{ and }x=-\dfrac{73}{8}[/tex]

For negative value of x, the side [tex](x-8)[/tex] will be negative, which is not possible because the side of a triangle cannot be negative.

Therefore, the only value of x is 9.

Han has four shirts in his shirt drawer – a blue shirt, a grey shirt, a white shirt, and an orange shirt. He has three pairs of pants in his pants drawer – blue pants, khaki pants, and black pants. If Han chooses a shirt without looking and then chooses pants without looking, what is the probability that he will choose pants and a shirt that are the same color?

Answers

Answer:

1/12

Step-by-step explanation:

12 combinations are possible in this scenario. Shirts. Pants

blue 1 blue 2khaki 3black

grey 4 blue. 5khaki 6black

white 7 blue 8khaki 9black

orange 10blue 11khaki 12black

blue/blue are the only matching items so 1/12 chance

Answer:

1/12

Step-by-step explanation:

The measure of an angle is 5.9°. What is the measure of its supplementary angle?

Answers

Answer:

174.1 degrees

Step-by-step explanation:

180 - 5.9 = 174.1

sub (−7x+5)−(2x2−8x+6).

Answers

10

sub (−7x+5)−(2x2−8x+6).

Pre calculus question need help asap

Answers

B I think not sure .

What is the perimeter of this red
polygon?
2 cm
3 cm
4 cm
4 cm
[? ]cm
please help asap:))

Answers

96

multiply the side length by the number of sides

What is the median of the data set?
17, 18, 20, 22, 24, 25, 30
A. 17
B. 30
C. 7
D. 22
Please help I will give brainiest!!!

Answers

Answer:

D. 22

22 is in the middle

There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.

Hope this helps

Do this and I’ll pay u I need help

Answers

Answer:

69

"bring me my money"

Step-by-step explanation:

Barnie hopped onto his bicycle and pedaled to the park at 15 miles per hour then he wizzed back at 20 miles per hour if the total trip took 7 hours how far was it to the park

Answers

Hey bestie is 60 miles. (It would take 4 hours at 15 mph and then 3 hours at 20 mph)

USE Six digits are given. 7 2 0 6 8 4 Answer the questions about these digits. Be sure to use commas when writing your numbers. a. What is the greatest 6-digit number that can be written with the given digits? b. What is the least 6-digit number that can be written with the given digits? c. What is the difference between these two numbers?​

Answers

Answer:

a) 888,888

b) 200,00

c) 888,888-200,000=688,888

step-by-step explanation:

the biggest number possible is 888,888 because 8 is the largest number and the question doesn't say that you have to use each number

200,000 is the smallest number because outside 0, 2 is the second-smallest number, and since 000,000 isn't a number 200,000 is the next best thing

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

plz helppppppppoppppppp

Answers

Answer:

D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

=

=

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

              = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  

=

Therefore, option D is the answer.

Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°​

Answers

Answer: C 2021 edg

Step-by-step explanation:

Polly has 2 1/2 cups of cereal. How many 3/4 cup full servings can she make? Will she have any cereal left?

Answers

Answer:

She can make 3 cups of it with 1/3 of a cup leftover.

Step-by-step explanation:

2 1/2 = 5/2

5/2 ÷ 3/4

5/2 · 4/3

10/3

3.33

The length of a rectangle is (3x + 1) and the width is (2x + 3). Find the
expression that represents the area of the rectangle.

Answers

Answer:

area = l * w

= (3x + 1) * (2x + 3)

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.

Answers

Answer:

15t - 50 > 5

Step-by-step explanation:

Initial point = -50 ftClimbing rate = 15 ft / minTime = t

Required inequality:

15t - 50 > 5

Solution:

15t > 55t > 55/15t > 3 10/15 = 3 40/60 min = 3 min 40 seconds

Answer:

Solution given:

Initial point = -50 ft

Climbing rate = 15 ft/min

Time = t(let)

So Required inequality:

15t-50 > 5

adding 50 on both term

15t> 55

dividing both term by 15

t > 55/15

t> [tex] 3 \times \frac{10}{15} [/tex]=

[tex] 3 \times \frac{40}{60} [/tex]= 3 min 40seconds is your answer

A store that sells skis buys them from a manufacturer ata a whole price of $57 the store make up rate it 50% what percent of the original price is the final price

Answers

Answer: 27

Step-by-step explanation:

can someone do this and explain how you did it with the formula and stuff.

Answers

Step-by-step explanation:

Chop it into shapes you know how to solve with:

Rectangle with dementions 6m x 3m A=18m^2

Rectangle with dementions 12m x (8-3)m A=60m^2

Rectangle with dementions 2m x 3m A=6m^2

total area= 18+60+6=84m^2

Peremeter:

12+6+2+(12-6-2)+3+3+8+8

=12+12+3+3+8+8

=24+6+16

=30+16

=46m

find the value of x
−20x−6=19

Answers

Answer:

the answer is x=−5/4

Step-by-step explanation:

hoped I helped:)

(4) if you can figure this out thank you so much if not still think you try later

Answers

Answer:

165m²

Step-by-step explanation:

The figure shown is a parallelogram

The area of a parallelogram can simply be found by multiplying the base length and the height

We are given that the parallelogram has a height of 15 m and a base length of  11m

That being said the area is equal to 15 * 11

15 * 11 = 165

So the area of the parallelogram is 165 m²

Is 2.36 a rational number?

Answers

Answer:

Yes

Step-by-step explanation:

Since it is a terminating (it ends) decimal and could be written as a fraction

Convert the following units. 3 feet =______ inches​

Answers

Answer:

36 inches

Step-by-step explanation:

Search up 3 feet in inches on and you'll see a converter

Help plsss!
What are the zeros of f(x) = x2 - x - 20?
O A. x= -5 and x = 4
O B. x=-2 and x = 10
C. x= -10 and x= 2
O D. x = -4 and x = 5

Answers

Answer: D

Explanation: Factor -> f(x) =(x-5)(x+4)
Solve: x-5 = 0. x+4=0
X = 5, X=-4


Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

Answers

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Other Questions
In which type of persuasive speech is it most important to identify common ground before moving to differences?a.policyb.valuec.factd.all of the above What is the complete factorization of8y3 4y2 + 10y? What happens if a portion of the food chain is brokenOnly the conumers are affectedOnly the conumers are affectedAll organisms in the food chain are affectedAll organisms in the food chain are affectedSecond level consumers would disappeerSecond level consumers would disappeerThe decomposers and producers are affected Please help with this math problem! What was the Gag rule and what was its significance? If 0.583 g of ammonia (NH3) is dissolved to make 250 mL of solution, what is the molarity? g 10. Problems and Applications Q10 Expansionary fiscal policy is more likely to lead to a short-run increase in investment when the investment accelerator is . True or False: Expansionary fiscal policy is more likely to lead to a short-run increase in investment when the interest rate sensitivity of investment is large than when it is small. True False What is the value of t?plz help what property is x+13=13+x pls help ty identify the translation f(6) if f(x)=4x what's the answer?a.24b.10c.16or is it d.2 Harriet cleaned during the day and baby sat all night. True False A town government is designing a new bus system. The planners are deciding where to put the different bus stops. They want to pick a set of bus stop locations that will minimize the distance anyone needs to walk in order to get to any bus stop in town. What term best defines this kind of problem Answer the following Questions:William Shakespeare lays out the first problem in the play. Before Romeo andJuliet can fall in love, they must meet. What is is standing in the way of their meeting at this point of this play What events shaped Malcolm X's philosophy/ideas? Read the sentence from paragraph 5 in Beam Me Up, Smell-ie!The architecture of the brain explains the Proust phenomenon, Herz thinks. Why does the author use the word architecture to describe the brain in the sentence? Ato compare the artistry of brains and buildingsBto compare the brains design to a buildings designCto compare the brain and designers purposesDto compare the brains components to a buildings components The Age of Exploration- According to the video, what were the reasons the Europeans wanted a direct route to Asia? What is the definition for a static contraction?a contraction that develops a tension where the muscle collapsesa contraction that develops a tension where the muscle length shortensa contraction that develops a tension where the muscle length elongatesa contraction that develops a tension where the muscle length remains the same Triangle ABC is similar to triangle DEF. Find the measure of side DE. Round youranswer to the nearest tenth if necessary.8BF31E13-7D There were over______ # newspaper/ magazine correspondents who produced over million words of print during the war.