Answer:
$53.63
Step-by-step explanation:
I believe the answer is $53.63 because you multiply 865 by 6.2% (.062) which gives you $53.63.
Answer:
The weight of the parcel is approximately 6 kilograms.
Step-by-step explanation:
The weight of the parcel is 12 lbs and 8 oz.
1 lb = 16 oz
So, 8 oz = lb.
That means, 12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs
Now, 1 lb = 454 g
So, 12.5 lbs = (12.5 × 454) g = 5675 g
As, 1 kilogram = 1000 g
That means, 1 g = 0.001 kilogram
So, 5675 g kilograms. (Rounded to the nearest whole kilogram)
Thus, the weight of the parcel is approximately 6 kilograms.
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."
