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
viva [34]
3 years ago
15

Read the proof. Given: AB ∥ DE Prove: △ACB ~ △DCE We are given AB ∥ DE. Because the lines are parallel and segment CB crosses bo

th lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA. We can state ∠C ≅ ∠C using the reflexive property. Therefore, △ACB ~ △DCE by the AA similarity theorem. SSS similarity theorem. AAS similarity theorem. ASA similarity theorem.

Mathematics
2 answers:
White raven [17]3 years ago
8 0
Pls. see attachment. 

pogonyaev3 years ago
7 0

Answer:

(A) AA similarity

Step-by-step explanation:

Given: AB is parallel to DE.

To prove: △ACB is similar to △DCE.

Proof: It is given that AB is parallel to DE, thus because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.

Now, from △ACB and △DCE, we have

∠CED≅∠CBA (corresponding angles of transversal CB and are therefore congruent)

and ∠C ≅ ∠C (Reflexive property)

Thus, by AA similarity postulate,

△ACB is similar to △DCE

Hence proved.

Thus, option A is correct.

You might be interested in
I will give brain to the person with the right answer.
Tanzania [10]
Here is that step by step answer :)

7 0
3 years ago
Read 2 more answers
In triangle ABC, m∠A=(9y-15)°, m∠B=(y^2+20)°, and m∠C=(y+31)°. What is the measure of angle C?
sineoko [7]

Answer:

Step-by-step explanation:

given

m∠A=(9y-15)°,

m∠B=(y^2+20)°, and

m∠C=(y+31)°.

In a triangle

m∠A+m∠B+∠C=(9y-15)°+(y^2+20)°+(y+31)°

m∠A+m∠B+∠C =10y+y^2-15+20+31

m∠A+m∠B+∠C =10y+y^2+36

m∠A+m∠B+∠C=y^2+10y+36

m∠A+m∠B+∠C=180°

y^2+10y+36-180=0

Y^2+10y-144=0

Y^2+(18-8)y-144=0

Y^2+18y-8Y-144=0

Y(Y+18)-8(Y+18)=0

(Y+18)(Y-8)=0

We should take positive value of Y so we take Y=8

So value of angle c is

m∠C=(y+31)°.

=(8+31)°

=39°

So the value of angle c is 39°.

4 0
3 years ago
70.4 is what percent of 88?
Arisa [49]

Answer:

70.4 is 80% of 88

7 0
3 years ago
Mrs. Spring left half of her estate to her son Sam. She left half of the remaining half to her cousin Fred. She left half of the
FinnZ [79.3K]

The total amount of Mrs. Spring's estate is $200,000

<h3>What is a fraction?</h3>

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Let the total estate = 100x

Share left with Sam = 50x

Remaining share = 50x

Now,

Share left with cousin Fred = 1/2 of 50x = 25x

Remaining  share = 25x

Share left with nephew Bill = 1/2 x (25x) = 12.5x

Remaining share = 12.5x

Share left with the care of the cat Chester = 12.5x

12.5x = $25,000

Now,

12.5x = $25,000

Multiply with 100/12.5 on both sides.

100/12.5 x 12.5x = 100/12.5 x $25,000

100x = $200,000

Thus,

The total amount of Mrs. Spring's estate is $200,000

Learn more about fractions here:

brainly.com/question/24370499

#SPJ1

5 0
1 year ago
What are the x and y-intercepts of the line described by the equation?
nirvana33 [79]

Answer:

ez

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve p/q=r/s
    11·1 answer
  • Ray BA and BC are opposite rays, and Ray BE bisects
    10·1 answer
  • A boy owns 2 pairs of pants, 1 shirts, 6 ties, and 1 jackets. How many different outfits can he wear to school if he must wear o
    9·1 answer
  • Which numbers are between 4 over 6 and 7 over 5
    8·1 answer
  • There are 80 students in the sixth grade at mountain middle school. 64 of these students play sports. What percent of the studen
    5·2 answers
  • PLS HELP ASAP!!!!! Match the verbal expression (term) with its algebraic expression (definition).
    15·2 answers
  • This coordinate plane shows the journey of a plane between two cities. The journey starts from City A, indicated by a green poin
    11·1 answer
  • 2) A college student saves $6000 working over the summer. Then spends $540
    6·1 answer
  • If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x?
    6·2 answers
  • Adrian, Ben and Charlie share some sweets in the ratio 6:3:8
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!