<span>212 -(72 divided by 2)=</span>212-36=176
Answer: I'd say <u><em>70%</em></u>
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
x + 35 = 105
x = 105 - 35
x = 70
Answer:
8 =x
Step-by-step explanation:
2x+9=3x+1
Subtract 2x from each side
2x-2x+9=3x-2x+1
9 = x+1
Subtract 1 from each side
9-1 = x+1-1
8 =x
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."
