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Mathematics

1 answer:

Anni [7]2 years ago

5 0

Answer:

It would be $13 as the original bill

But the correcy answer is D

Step-by-step explanation:

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Draw two polygons that have corresponding angles that are all congruent but are not similar to prove that angle congruence is no

Marina86 [1]

There are infinitely many ways to do this. One such way is to draw a very thin stretched out rectangle (say one that is very tall) and a square. Example: the rectangle is 100 by 2, while the square is 4 by 4.

Both the rectangle and the square have the same corresponding angle measures. All angles are 90 degrees.

However, the figures are not similar. You cannot scale the rectangle to have it line up with the square. The proportions of the sides do not lead to the same ratio

100/4 = 25

2/4 = 0.5

so 100/4 = 2/4 is not a true equation. This numerically proves the figures are not similar.

side note: if you are working with triangles, then all you need are two pairs of congruent corresponding angles. If you have more than three sides for the polygon, then you'll need to confirm the sides are in proportion along with the angles being congruent as well.

3 0

3 years ago

What is the surface area of the ice cream

galina1969 [7]

Answer:

$13194.7\ mm^2$

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = $\pi r(r+\sqrt{h^2+r^2} )$

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = $\sqrt{h^2+r^2}$

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

$Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2$