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
pychu [463]
3 years ago
13

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral

ABCD is shown with the two pairs of opposite sides AD and BC and AB and DC marked parallel . The diagonal are labeled BD and AC A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent: For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by _______________. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC. Which phrase best completes the student's proof?

Mathematics
2 answers:
harina [27]3 years ago
7 0

Answer: Reflexive property

Solution:

Reflexive property: Any value is congruent itself, then DB is congruent to DB by Reflexive property.

il63 [147K]3 years ago
6 0
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice. 
 Hope I helped! :)
You might be interested in
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% a
Lera25 [3.4K]

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

4 0
3 years ago
Exponent Practice:<br> x^2/3=64
docker41 [41]
X^2/3 = 64
x^{2} =64^{3}
x = 64^{3/2}

it is easier to first find square root of 64 and than power it to 3
square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
x = 512

6 0
3 years ago
Solve D 41=12d-7 zhcduhdudebiscbihbihb
Daniel [21]

Answer:

Step-by-step explanation:

12d - 7 = 41

12d = 48

d = 4

5 0
3 years ago
2. Which expression is equivalent to 2x2 + (4x - 6x2)+9 - (6x + 3)?
frez [133]
The answer is g you just have to combine the Like terms
8 0
3 years ago
Add and simplify 9 sixteenths plus one half equals
brilliants [131]
9/16 + 1/2 = 9/16 + 8/16 = 17/16 = 1 1/16
5 0
3 years ago
Other questions:
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    9·1 answer
  • 5x + 6y = -18<br> Write the intercep form of the equation of each line
    8·1 answer
  • What is bigger 6,200ft or 1mile and 900ft
    7·2 answers
  • Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
    8·2 answers
  • Solve 7y − 13 ≤ -2y + 12 for y.
    15·2 answers
  • How to write the sum of b and 10 is equal to 24
    8·1 answer
  • Given g(x) = -x+3,find g(1)
    9·2 answers
  • Nicole has $35.80 and spends $5.92 on a book. She puts half of the remaining money in her bank.
    11·2 answers
  • Please help me! will mark brainliest
    11·1 answer
  • 5(x+6)-8x=3(10-x)n no solution, one solution, or all real numbers are solutions
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!