Answer:
Step-by-step explanation:
Seperate the problem by each question. Answer each question one by one., It will be easier to see the problem if everything is seperated.
The proof is given below.
Step-by-step explanation:
Given,
AB║DC and AB≅DC
To proof ΔABE ≅ Δ CDE
Proof:
AB║DC and AC is the transversal
∠BAE = ∠ECD ( alternate angle)
AB║DC and BD is the transversal
∠ABE = ∠EDC( alternate angle)
Now,
In ΔABE and Δ CDE
∠BAE = ∠ECD ( alternate angle)
∠ABE = ∠EDC( alternate angle)
∠AEB = ∠CED (vertically opposite angle)
So, by AAA condition we get,
ΔABE ≅ Δ CDE
Answer:
Im gonna say its probably 5/7
Step-by-step explanation:
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = ![\dfrac13\pi r^2 h](https://tex.z-dn.net/?f=%5Cdfrac13%5Cpi%20r%5E2%20h)
Volume of lid ![=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3](https://tex.z-dn.net/?f=%3D%5Cdfrac13%283.14%29%282.5%29%5E2%284.5%29%3D29.4375%5Capprox29.44%5Ctext%7B%20cm%7D%5E3)
Surface area of cone =
[as lide has no base we don't include area of base.]
Surface area of lid = ![(3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3](https://tex.z-dn.net/?f=%283.14%29%282.5%29%5Csqrt%7B%282.5%29%5E2%2B%284.5%29%5E2%7D%3D%207.85%5Csqrt%7B26.5%7D%5Capprox40.41%5Ctext%7B%20cm%7D%5E3)
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.