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Ganezh [65]
2 years ago
11

Line l and line m intersect.Prove: ∡1 ≅ ∡3

Mathematics
2 answers:
konstantin123 [22]2 years ago
7 0

Answer:

l & m intersect

2 & 3 are supplementary

1 & 3 are congruent

Step-by-step explanation:

ikadub [295]2 years ago
5 0
Line l and line m intersect
2 is supplementary to 3
Angle 1 congruent to angle 3

Hope this helped :)
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Compare the values of each 3 in the number 633,248
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The 3 on the right side is int he 1000s (thousands) place, and the 3 on the left is in the 10,000s (ten thousands) place. :) 

The one in the 10,000s place is 10 times larger than the one in the 1,000s place!
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How many feet of fencing would a farmer need if she wanted
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The graph shows f(x) = (1/2)^x and its translation, g(x). Which describes the translation of f(x) to g(x)?
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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
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