Answer with explanation:
Given: RW ≅ WT; UW ≅ WS
To Prove:≡ RSTU is a parallelogram.
Proof: In ΔRWU and ΔTWS
1. RW ≅ WT
2. UW ≅ WS
3. ∠RWU=∠TWS→→[Vertically opposite angles]
ΔRWU≅ΔTWS⇒⇒⇒[SAS]
RU=ST→[CPCT]
∠WRU=∠WTS⇒[C PCT]
RU║ST⇒Alternate angles are equal so lines are parallel.
⇒⇒⇒If in a Quadrilateral , diagonals bisect each other ,and one pair of opposite side is equal and parallel ,so it is a parallelogram.
∴Quadrilateral R STU is a parallelogram
Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone=
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume =
To find the number of times we divide new volume with the old volume