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3 years ago

Which theorem or postulate justifies this statement? ∠6≅∠13

Mathematics

1 answer:

alexdok [17]3 years ago

5 0

Answer:

Theorem for alternate exterior angles.

Step-by-step explanation:

From the figure attached,

Two lines GN and FH are the parallel lines and a transversal JM is intersecting these lines at two distinct points.

Different pair of angles formed are between these parallel lines,

∠6 ≅ ∠10 [Corresponding angles]

∠8 ≅ ∠10 [Interior alternate angles]

∠6 ≅ ∠13 [Exterior alternate angles]

Therefore, theorem for alternate exterior angles justifies that ∠6 ≅ ∠13.

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2 years ago

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3 years ago

Read 2 more answers

It is hard to calculate the volume of a mountain but several estimates put the volume of Mount Everest at around 2,413 cubic kil

scoray [572]

Answer:

About 609,000 Cowboy stadiums could fit inside of Mount Everest

Step-by-step explanation:

we have

The estimate volume of Mount Everest is at around $2,413\ km^{3}$

The Dallas Cowboys Stadium has a volume of $140,000,000\ ft^{3}$

step 1

Convert ft³ to km³

we know that

1 km=3,280.84 ft

$140,000,000\ ft^{3}=140,000,000*(1/3,280.84)^{3}=0.003964\ km^{3}$

step 2

To find how many Cowboy stadiums could fit inside of Mount Everest, divide the volume of Mount Everest by the volume of the Dallas Cowboys Stadium

$2,413/0.003964=608,729$

Round to the nearest Thousands

$608,729=609,000$

The volume of Mount Everest is about 609,000 times greater than the volume of the Dallas Cowboys Stadium

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2 years ago