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
ikadub [295]
3 years ago
7

Given: AB parallel to DC prove: ABE ~ DCE

Mathematics
2 answers:
slava [35]3 years ago
8 0
The reasons would be:

alternate interior angles
vertical angles
AAA (all angles are congruent)

Since we know that the two line segments are parallel, this means that BC is a transversal.  Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.

AEB and DEC are vertical angles, since they share only a vertex.

This gives us 3 congruent angles, so the triangles must be similar.
Vesna [10]3 years ago
3 0
Answer: The 3 missing statements are listed below with explanations.

2) Alternate interior angles are congruent. Since the lines are parallel these angles are congruent.

3) Vertical angles are congruent. Intersecting angles across from each other are congruent.

4) AA Similarity Theorem. If 2 angles of a triangle are congruent, then the triangles are similar.
You might be interested in
PLEASE HELPPP!! fill in the blank with + or - <br> reporting if you post a inappropriate comment.
sammy [17]

Answer:

Top box is +, left box is +, right box is -, bottom box is +

Step-by-step explanation:

Hopefully that makes sense lol

3 0
2 years ago
L=wh/a(w+p) Make w the subject of the formula​
Anvisha [2.4K]

Answer:

w = lap/ h - la

Step-by-step explanation:

1 Multiply both sides by a(w+p)a(w+p).

la(w+p)=wh

2 Expand.

law+lap=wh

3 Subtract law from both sides.

lap=wh-law

4 Factor out the common term w.

lap=w(h-la)

5 Divide both sides by h-la.

lap/h - la = w

6 Switch sides.

w = lap/ h - la

6 0
2 years ago
Convert into decimals (use your calculator): a) 6/38 b) 45/55 c) 4/28 d) 35/28 e) 1030/2030
Delicious77 [7]

Answer:

a.\hspace{3} \frac{6}{38} = 0.15789474\\\\b.\hspace{3} \frac{45}{55} = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 0.14285714\\\\d.\hspace{3} \frac{35}{28} = 1.25\\\\e.\hspace{3} \frac{1030}{2030} = 0.50738916

Step-by-step explanation:

Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:

a.\hspace{3} \frac{6}{38} = 6\div38 = 0.15789474\\\\ b.\hspace{3} \frac{45}{55} = 45\div55 = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 4\div28 = 0.14285714\\\\ d.\hspace{3} \frac{35}{28} = 35\div28 = 1.25\\\\ e.\hspace{3} \frac{1030}{2030} = 1030\div2030 = 0.50738916

3 0
3 years ago
liam has 8 3/4 gallons of paint. he wants to use 2/5 of paint to paint his livingroom. how many gallons of paint will liam use?​
slava [35]

<u>Answer:</u>

Liam will use 3.5 gallons of paint to paint his living room

<u>Solution:</u>

Given that Liam has 8 \frac{3}{4} gallons of paint.

He uses \frac{2}{5} of paint to paint his living room

We need to find how many gallons of paint will Liam use

The gallons of paint Liam used can be found as follows:

Amount of paint Liam has = 8 \frac{3}{4} gallons  

Converting mixed fraction 8 \frac{3}{4} to decimal we get 8.75

Amount of paint used = 2/5th of available amount  

= \frac{2}{5} \times 8.75=3.5 \text { or } 3 \frac{1}{2} \text { gallons }

Hence Liam will use 3.5 gallons of paint to paint his living room

3 0
3 years ago
Which numbers are a distance of 5 units from 8 on a number line?
Aneli [31]
13, 3. are the ones i could find
5 0
3 years ago
Read 2 more answers
Other questions:
  • How to solve this problem
    9·1 answer
  • Upon graduation from​ college, Warren Roberge was able to defer payment on his ​$22,000 student loan for 3 months. Since the int
    6·2 answers
  • 450 miles divided by 30.8​
    8·1 answer
  • Please Help! image below
    8·1 answer
  • Can someone help me with this question please?
    12·2 answers
  • The area of a mirror is 225 square inches, and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 1
    14·1 answer
  • Help plssssssssssssssssssssssssss
    6·1 answer
  • What is the value of − 9 × ( 1 4 ) ÷ ( − 0.75 ) ?
    8·1 answer
  • The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35
    8·2 answers
  • A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!