Mathematics High School

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

#SPJ2

Related Questions

i need help plzzzzzz

Answers

The answer is 3.7a+3b

Because you combine like terms

Answer:

3.7a/10+3b

Step-by-step explanation:

Hope this helps and have a great day :)

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

I need help on this question

Answers

The correct answer should be C to this question

Answer:

A) - M

Step-by-step explanation:

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = –2x + 30
B. y = 2x + 30
C. y = –2x – 30
D. y = 2x – 30

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hope this helps! :)

i am in need of help

Answers

CAD= BAD
AD=AD( the same side of two angles).

Which equation below represents a proportional relationship?



a. y = 5x – 9

b. y = 2x + 7

c. y = 8x

d. y = 3x – 2

Answers

Answer:

c.

Step-by-step explanation:

when an equation doesn't have a y-intercept. That means it is proportional.

how do i evaluate p=2l+2w if l=5 and w =3

Answers

Answer: p = 16

Step-by-step explanation:

Replace the I with 5 and the W with 3.

2(5) + 2(3) = 10 + 6 = 16

6) In 3 seconds you can fill up a pool with 42 gallons of water. If this is a proportional
relationship fill in the table below.
Time (sec) 1/2/3/4/5
Amount of /. /42/. /. /
Water (gal)

Answers

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

20000×50×45×0×23×5×6+229+466+7+5+8+9+1+2+3+45+6+7+8+9+10. Hope you like question don't answer if you don't want to. Have a great day​

Answers

815? but have a great day as well!

7k-3=6k what does k equal

Answers

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

13/26 = x/24 solve for x
PLEASE ANSWER

Answers

Answer:

x= 12

Step-by-step explanation:

hope this helps!!

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?

Answers

Answer:

6 Liters

Step-by-step

4 Lemons = 3 Liters

8 Lemons = 6 Liters

So its basicly multiplying it by 2  ^O^

Answer:

X = 6

Step-by-step explanation:

number of lemons. Liters

4 ---> 3

8 ---> X

= 4:8 = 3: X

= 4 = 3

8 X

= 4X = 3×8

= X = 3 × 8

4

= X = 6 answer X=6

What is the value of x in the equation 5(3x + 4) = 23?

start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction

Answers

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

      -20=-20

15x=3

divide by 15 from both sides

x=0.2

Step-by-step explanation:

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

     -20=-20

15x=3

divide by 15 from both sides

x=0.2

Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5

amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.

Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".

a cleaning service orders 7 large bottles and 14 small bottles of a cleaning product.Each large bottle has 124 ounces.Each small bottle has 64 ounces. which is the best estimate of the total amount of cleaning product the cleaning service orders?
I need help please!!​

Answers

Answer: small bottles

Step-by-step explanation:

124 * 7 =868 ounces

14 * 64 = 896 ounces

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

what is 2 + 1 = ? is it 3 or is it 3 because i dont know​

Answers

Answer: 4

Step-by-step explanation:

ANSWER

3

Explanation

2+1=3

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n

Answers

Answer:

The Answer is B. 2-5n

Step-by-step explanation:

Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n

Then combine like terms which are +3n and -8n which leaves you with -5n

y = x - 2
-2x + 3y = -1
What is x and y?

Answers

Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Substitute in y:                    -2x + 3(x - 2) = -1Distribute 3:                         -2x + 3x - 6 = -1Combine like terms:            x - 6 = -1Isolate x:                               x = 5

Step 3: Solve for y

Define equation:                    y = x - 2Substitute in x:                       y = 5 - 2Subtract:                                 y = 3

Help me plz very hard

Answers

Answer:

19

Step-by-step explanation:

Answer:

y=19

Step-by-step explanation:

your equation is y=6x-11 with an input of 5 so you plug in 5 for x.

% times 6 is 30 and 30 minus 11 is 19

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?

Answers

Answer:

7.93 seconds

Step-by-step explanation:

Subtract!

59.48s - 51.55s = 7.93 seconds

Needs to be trimmed.

Answer:

7.93

Step-by-step explanation:

59.48 minus 51.55 is 7.93

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answers

Answer:

The inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

[tex]-3\:>\:4[/tex]

-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.

Given the inequality

[tex]-2\:<\:-3[/tex]

-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.

Given the inequality

[tex]-3\:<\:-6[/tex]

-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex]  is also incorrect.

Given the inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

can someone please help me?

Answers

Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

i need help with my math>

Answers

Answer:D

Step-by-step explanation: You can multiply the first equation by 2, and then add two equations together, find x, then plug in and find y and voila! its D

:D

6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)


sos idk how to solve this:)

Answers

Answer:

[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]

Step-by-step explanation:

[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]

What’s is twenty one minus eight

Answers

Answer:

13 dude

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

What is a simple way to tell that −2 1/5 is not the slope of this graph?

Answers

Answer:

The last one is an easy way to tell that the slope is not -2 1/5 because it is positive

Step-by-step explanation:

When a line goes up from left to right, it's positive. If it goes down from left to right, it's negative.

HELLOPPPPPPPP ASAPPPPPP PLEASEEEE

Answers

Answer:

A.

Step-by-step explanation:

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