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Thepotemich [5.8K]

3 years ago

10

The triangles are similar by:

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

E. by the SAS similarity theorem.

Step-by-step explanation:

Included angle x° in ∆ ABC ≅ included angle x° in ∆EDC (vertical angles are equal)

DC/BC = 240/150 = 1.6

EC/AC = 320/200 = 1.6

This implies that the ratio of two corresponding sides of both triangles are the same.

Two triangles are considered similar to each other by the SAS similarity theorem of they have a corresponding included angle that is equal and two corresponding sides that are congruent to each other. Therefore, both triangles are similar by the SAS similarity theorem.

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irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
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To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

<u>Accordi</u><u>ng</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>qu</u><u>estion</u><u>,</u>

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

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$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

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$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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