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
SIZIF [17.4K]
3 years ago
14

I need help with this proof i am struggling w geometry...

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.

Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.

After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.

Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.

Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)

You might be interested in
please help me with this one and more thru the comments I don't have that many points please do it I'm begging u
zvonat [6]

Step-by-step explanation:

(example)

Think of it this way:

If joe caught 1 fish only

and bonita caught four more than joe

that means that she caught 5 fish in total.

(for the question)

This means that Bonita caught four more fish than Joe.

j + 4 = bonita

j = joe

3 0
3 years ago
jason divide 3 pounds of dog food equally among six dogs. draw a diagram and explain how you can use it to find the amount of fo
grin007 [14]
Each dog will get half a pound
5 0
3 years ago
Read 2 more answers
X+8/4 = -6 a.x = -32 b.x = 16 c.x = -16 d.x = -24 a. Hurryyyyy i need helppppppppp
son4ous [18]

Answer:

x = -8

Step-by-step explanation:

x + (8/4) = -6

x × 4 + (8/4) × 4 = -6 × 4

4x + 8 = -24

4x = -24 - 8

4x = -32

x = -8

6 0
3 years ago
Solve for m: m – 4.2 = 5.1
Fantom [35]

Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

4 0
2 years ago
PLEASE HELP. WORTH 50 PINTS IF CORRECT. A gate casts a shadow that is 5 feet long. A nearby cactus is 9 feet tall and casts a sh
brilliants [131]

Answer:

The height of the cactus is three times the height of the gate

The gate is 3 feet tall

3 0
3 years ago
Read 2 more answers
Other questions:
  • The music store is having a 15% off sale on all classical music cds. Lyell has a coupon for 20% off any classical music cd. How
    15·1 answer
  • Solve for the indicated variable. Include all of your work in your answer. Submit your solution. P = 3r + 2s; for s.
    14·1 answer
  • What is the area of the trapezoid with height 13 units?
    14·2 answers
  • The difference between a number x and 16 is 21
    11·1 answer
  • Stuck on this one please help
    14·1 answer
  • How is locating -1.5 on a number line the same as locating 1.5 on a number line? How is it different?
    5·1 answer
  • You currently have $30 in your savings account. each week you deposit $5 of your allowance into this account. how long will it t
    8·1 answer
  • Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals,
    9·1 answer
  • |x| > - 16 what is the value of x
    12·1 answer
  • Can you please match the number and explain thank you your saving a grade
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!