1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
2 years ago
12

Which theorem or postulate proves that △ABC and △DEF are similar?

Mathematics
2 answers:
Dmitriy789 [7]2 years ago
8 0

Answer: SAS

Step-by-step explanation:

SAS so it would be C

yan [13]2 years ago
7 0

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

\frac{ED}{AB}= \frac{7}{21}

\frac{ED}{AB}= \frac{1}{3}

and

\frac{EF}{BC}= \frac{11}{33}

\frac{EF}{BC}= \frac{1}{3}

Thus

\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}

∠ABC = ∠DEF  (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

You might be interested in
The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute
KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

a = \frac{32.2 - 36.7}{52 -22} = -0.15

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
2 years ago
1) A shirt went from $8 to $10.
bagirrra123 [75]

Answer:

1) 20% change I think its an increase.

If needed I could try to answer the 2nd question but I am sure that I got the first one right.

Step-by-step explanation:

7 0
2 years ago
paul paid $25.50 for 3 cups of hot chocolate and 4 cups of hot tea. the cost of each cup pf tea was 2.3 the cost of each cup of
Bumek [7]
How To Solve It:

$2.30 x 4 = $9.20

$25.50 - $9.20 = $16.30

$16.30 ÷ 3 = $5.43

Answer:

Each cup of hot chocolate costs $5.43

I hope this helps! :)
5 0
3 years ago
If the ratio of red socks to blue socks is 1:6, how many red socks would I have if I had 24 blue socks?
svetoff [14.1K]

Answer:4

Step-by-step explanation:

1:6

Divide 6 by 24

you will get 4

Times your answer by 1 and then u will get your final answer

3 0
3 years ago
Read 2 more answers
A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during
diamong [38]
The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C

where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon

For an octagon, the central angle is
C = 360/8 = 45

So,
N = 360 / 45 = 8

Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.
8 0
3 years ago
Other questions:
  • 3. You have a square plot of land that has an area of 144 square feet. You
    15·1 answer
  • A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the leng
    10·1 answer
  • Solve each system using substitution: 7x-2y=1 2y=x-1
    7·1 answer
  • PLEASE HELP!!!
    11·1 answer
  • ⎧
    8·2 answers
  • Evaluate the surface integraliintegral.gifSF � dSfor the given vector field F and the oriented surface S. In other words, find t
    9·1 answer
  • In the interval,<br> [0,2), what are the solutionms of the equation sin x =-1/2?
    13·1 answer
  • Can someone help me please thank you
    13·2 answers
  • One electrician charges his customers a $60 service fee plus $35 per hour.
    12·1 answer
  • Express 80 as the product of its prime factors.<br> Write the prime factors in ascending order.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!