Which of the following additional statements would you need to prove these two triangles are similar by SAS similarity?

1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠B ≅ ∠F
4. ∠C ≅ ∠F

Which Of The Following Additional Statements Would You Need To Prove These Two Triangles Are Similar

Answers

Answer 1

Answer:

option 1

as the sides were already given, A and D are the only way that the triangle can have SAS.

Answer 2

The option 1 . ∠A ≅ ∠D is correct and needed to apply SAS similarity theorem in this given condition.

What is SAS (side angle side ) similarity theorem for two triangles?

The  SAS theorem states that if two triangles have a congruent angles and the sides that define the angle  are proportional, the two triangles are similar.

Given are two triangles ΔABC and ΔDEF and their sides AB =7 , AC = 12, DE =14, DF = 24

Then AB/ DE = 7/14 = 1/2

 and AC / DF = 12/24 = 1/2

∴ AB / DE = AC/ DF

Therefore the sides AB and AC are proportional to DE and DF

And for the application of SAS the angle defined by these pairs must be congruent.

AB and AC defines ∠A and DE and DF defines ∠D

Thus, ∠A must  be congruent to  ∠D so that SAS can be to applied to make the given triangles similar.

Therefore, option 1. ∠A ≅ ∠D  is correct option

Also, learn more about SAS similarity theorem from the link below:

https://brainly.com/question/22472034

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Related Questions

I need some help pretty please!

Answers

Answer:

 Number & Cost($)

 Feet & Yards

Step-by-step explanation:

  Number & Cost:

      (2, 38), (4, 76)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (76 - 38) / (4 - 2)

                     = 38 / 2

                     = 19             <====== k the constant

      y = kx

      y = 19x

      point (2, 38):    38 = 19(2)   ===>      38 = 38

      point (4, 76):    76 = 19(4)   ===>      76 = 76

      point (7, 133):  133 = 19(7)   ===>    133 = 133

      point (9, 171):   171 = 19(9)   ===>     171 = 171

  Feet & Yards:

      (27, 9), (75, 25)            <====== pick any two point to find constant

      constant = (y₂ - y₁) / (x₂ - x₁)

                     = (25 - 9) / (75 - 27)

                     = 16 / 48

                     = 1/3             <====== k the constant

      y = kx

      y = 1/3x

      point (3, 1):           1 = 1/3(3)      ===>     1 = 1

      point (12, 4):        4 = 1/3(12)    ===>     4 = 4

      point (27, 9):       9 = 1/3(27)   ===>     9 = 9

      point (75, 25):   25 = 1/3(75)   ===>   25 = 25

A person on a moving sidewalk travels 21 feet in 7 seconds. The moving sidewalk has a length of 180 feet. How long will it take to move from one end of the sidewalk to the other? ​

Answers

Answer:

59.40

Step-by-step explanation:

it takes .33 seconds to walk 1 foot so multiply that times 180 and you get 59.4

Convert 576 from base 10 to base 5​

Answers

Answer:

561

Step-by-step explanation:

I think... (I don´t get this question...)

What is the sum of 1/2 and 1/3

Answers

Answer:

i am wrong dont do what i am doing

Step-by-step explanation:

5/6 because 1/2 + 1/3 = 3/6 add 3+2 and that = 5/6

is this relation a function

choose correct answer



marking brainlist

Answers

The correct answer is d because every input is supposed to have exactly one output

Can somebody tell me if I did the primes right?

Answers

Answer:

You did! well done

Step-by-step explanation:

Suppose a relief program dropped food and medicine to a disaster area with a paper parachute. If the parachute fell 250 meters, how many feet did the parachute fall?

Answers

Answer:

About 820 feet

8.21 exact

Step-by-step explanation:

Multiply length by 3.281

250m * 3.281 = 820.21ft

Please help! Only if you KNOw, I’m confused

Answers

Answer:

40

Step-by-step explanation:

1.Kknow the following information;

Remember, the sum of degrees of angles in a triangle is 180.

So say if a traingle contained;

<1, <2, <3,

Then:

<1 + <2 + <3 = 180

2. State the given, and set up an equation;

In this case, it is given that;

<1 = 115

<2 = 25

Therefore, set up the equation;

115 + 25 + <3 = 180

3. Solve the equation;

115 + 25 + <3 = 180

Simplify,

140 + <3 = 180

Inverse operations,

140 + <3 = 180

-140          -140

<3 = 40

A line passes through the points (-6,4) and (-2,2). Which is the equation of the line?

A. y= -1/2x + 1

B. y= 1/2x + 7

C. y= -2x + -8

D. y= 2x + 16

Please Help ☺️​

Answers

Answer:

Is A

Step-by-step explanation:

(2-4)/(-2--6) = -1/2

And the only answer that has -1/2 as the slope is A

Solve the equation (3^x/2) (3^x/4) = 3^6

x =

Answers

Answer :
x=18√2 or -18√2

Step by step :
9/8x^2 =729
Divide both sides by 9/8
x^2 = 648
Take square roots
x = ±√648
x = 18√2 or -18√2

Answer:

x = √48

Step-by-step explanation:

[tex] ({3}^{ \frac{x}{2} } )( {3}^{ \frac{x}{4} }) = 3 {}^{6}[/tex]

[tex] {3}^{ \frac{x}{2} \times} {}^{ \frac{x}{4} } = 3 {}^{6} [/tex]

[tex]3 {}^{ \frac{ {x}^{2} }{8} } = 3 {}^{6} [/tex]

[tex] \frac{ {x}^{2} }{8} = 6[/tex]

[tex] {x}^{2} = 6 \times 8[/tex]

[tex] {x}^{2} = 48[/tex]

[tex]x = \sqrt{48} [/tex]

need answer asap!! will give brainiliest!!
define the term linear equation in your own words.​

Answers

an equation between two variables that gives a straight line when plotted on a graph.

Plz mark me as braniliest
Определение линейного уравнения - это алгебраическое уравнение, в котором каждый член имеет показатель степени, равный единице, и построение уравнения приводит к прямой линии. Пример линейного уравнения y = mx + b. существительное.

The elevation at ground level is 0 feet. An elevator starts at 29 feet below ground
level. After traveling 70 seconds, the elevator is 52 feet above ground level. What
distance does the elevator travel in those 70 seconds?

Answers

Answer:

81

Step-by-step explanation:

I just added the 52 and 29 together.

Plz help I don’t understand

Answers

Answer:

The rate of change is increasing, or positive

Step-by-step explanation:

Attached is a link of Mr.Slope, he always helps me.

the slope is 2 and the RoC and slope are the same. the RoC has units though, so the answer would be 2km/trip

a woman buys a cooler for rs 800 and pays rs 60 as per transportation charges if she sells the cooler for rs 1200 find her profit percent ​

Answers

Rs 340
800+60=860
1200-860

Johnny has a jar of coins that has quarters and dimes. There are 57 coins in the jar tha have a total of $7.95. How many dimes are in the jar?​

Answers

Answer:

37 dimes

Step-by-step explanation:

i was experimenting. 17 quarters and 37 dimes. 17 times .25 is 4.25. 37 times .10 is 3.70. add them and it's correct.

find the pattern what comes next 63,57,51,45

Answers

Answer:

counting by 6's

so it would be 69 next if your talking about the left side

or 39 if your talking abt the right side

Hope this helps!

Which equation does the attached graph represent?

A. [tex]x=-2(y+3)^2-2[/tex]
B. [tex]x=2(y+3)^2-2[/tex]
C. [tex]y=-2(x+3)^2-2[/tex]
D. [tex]y=2(x+3)^2-2[/tex]

Answers

Hi there!

[tex]\large\boxed{B. \text{ } x = 2(y + 3)^{2} -2}[/tex]

The transformation formula of a horizontal-facing parabola is:

x = ±a(b(y - k)) + h, where the vertex is at (h, k).

Looking at the graph, we can see a vertex at (-2, -3) with a stretch of 2. The graph is also pointed towards the RIGHT, which means that the coefficient "a" must be positive. Therefore:

The only logical answer choice is B, or x = 2(y + 3)² - 2.

The formula indicates that:

* Vertex at (-2, -3)

* Stretch of 2

* Right-facing parabola

3 2/7−(−5/7) mixed number in simplest form.

Answers

Answer:h

Step-by-step explanation:

Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75. A. If a cup of coffee costs $3.25, then use the diagram to write an equation to solve for c, the cost of the donut.

Answers

the cost of a donut is $2 and the equation that represents the given scenario will be:

3d + 6c = 21.75d = 3.25

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.

Let " d" be the cost of a cup of coffee

and "c" be the cost of the donut

Since Each friend ordered a coffee and a donut

And there are 3 friends

Thus,

3(d + 2c) = 21.75

3d + 6c = 21.75

Also given,  a cup of coffee costs $3.25

d = 3.25

Substituting the values in equation 1

9. 75 + 6c = 21.75

6c = 12

c = 2

therefore, the cost of a donut is $2.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ1

Is my answer correct?

Answers

Answer:

yes

Step-by-step explanation:

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

i THINK this is correct

Step-by-step explanation:

x = 13

Answer:

I think its 13

Step-by-step explanation:

because the line above it which is 18 looks like the same length. So I would subtract 5 from 18 to get 13. because 13+5 is 18. Good luck!!

2x + 3 = x + 5
What is the value of x

Answers

Answer: x=2

Step-by-step explanation: Subtract

3

3

3

from both sides of the equation

2

+

3

=

+

5

2

x

+

3

=

x

+

5

2x+3=x+5

2

+

3

3

=

+

5

3

2

x

+

3

3

=

x

+

5

3

2x+3−3=x+5−3

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

+

2

2

x

=

x

+

2

2x=x+2

3

Subtract

x

x

from both sides of the equation

2

=

+

2

2

x

=

x

+

2

2x=x+2

2

=

+

2

2

x

x

=

x

+

2

x

2x−x=x+2−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

The answer is 2

2x + 3 = x + 5
2x - x = 5 - 3
x = 2

PLEASE HELP!!! A plumber charges $14 per hour and a $20 flat fee for service. If Ashley's total comes to $111, how many hours did the plumber work? Write an equation to show how you would solve.

Answers

Answer:

The plumber worked for 6.5 hours.

Step-by-step explanation:

$111 - $20 = 91

91 / 14 = 6.5

Answer:

6.5 hours

Step-by-step explanation:

111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!

Solve for n.

n - 26 = -13
n =

Answers

Answer:

n= 13

Step-by-step explanation:

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

Answer:

n=13

Step-by-step explanation:

because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer

writing equations- point & slope
through (-5,3) slope: -3/10

Answers

Answer:

y = -.3x + 1.5

Step-by-step explanation:

See attached Screenshot using Desmos to write equation.

Mrs. Clarke saved $60 by buying a dress at a 30% discount. The original price of the dress was

Answers

Answer:

$200

Step-by-step explanation:

Step one:

given

let the original price of the be x

discount = 30%

30 of x is $60

Step two:

Mathematically

30/100*x=60

0.3x=60

divide both sides by 0.3

x=60/0.3

x=200

Hence the original price of the dress is $200

How much should Jordan budget monthly for an annual expenditure that coast $614.66? *
TIMED!

Answers

Answer:

he should budget about $51.22

Step-by-step explanation:

annual mean one year since there is 12 months in a year you would want to divide 12 to $614.66

Answer:

i think it's $51.22 Cause it said annual which means one year and it has 12 months so the actual price devide by 12

am not that sure tho cause the question is tricky

The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebraically determine its equation in factored form. Show how you arrived at your answer.
PLEASE HELP ITS BEEN HOURS

Answers

The graph in the question is missing.

Answer:

y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = [tex]\frac{-1}{4} (x+4)(x+4)(x-6)[/tex]

  y  = [tex]\frac{-1}{4}( x^3 + 2x^2 - 32x -96)[/tex]

Use the figure to find the measures of
<1 and <2

Answers

angle 1 = 134
angle 2 = 46

explanation:
angle 1 is a supplementary with 46
angle 2 is alternate interior with 46

What is the slope of this line?

Answers

Answer:

4/5

Step-by-step explanation:

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