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Aleksandr [31]
4 years ago
6

Give me answers please me

Mathematics
1 answer:
VladimirAG [237]4 years ago
6 0
I believe the answer is B
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The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
Setler [38]

Answer:

The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem." ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of congruence

  • SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  • SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  • ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  • AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  • HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ  

In Parallelogram ABCD

∵ Segment AB is parallel to segment DC

∵ Segment BC is parallel to segment AD

- Construct diagonal A C with a straightedge

In Δs BCA and DAC

∵ AC is congruent to itself ⇒ Reflexive Property of Equality

∵ ∠BAC and ∠DCA are congruent ⇒ Alternate Interior Angles

∵ ∠BCA and ∠DAC are congruent ⇒ Alternate Interior Angles

- AC is joining the congruent angles

∴ Δ BCA is congruent to Δ DAC by ASA Theorem of congruence

By CPCTC

∴ AB is congruent to CD

∴ BC is congruent to DA

The sentence which accurately completes the proof is: "Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem."

3 0
3 years ago
If 1/5 of a pizza has 380 calories, how many calories are in 1/8 of that pizza?
inysia [295]

Answer:237.5

Step-by-step explanation: 380x5=1900, 1900/8=237.5

3 0
4 years ago
I need help on this one pls help me
vekshin1
What is the question?
6 0
3 years ago
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I don’t understand this please help me
WITCHER [35]

why is everyone trowing pictures at this paper

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What would the total bill be of a painting that cost's $44.80 with a tax rate of 6%
ale4655 [162]

Answer:


Step-by-step explanation:

249

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4 years ago
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