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3 years ago

A large soda cup holds 32 ounces. What is this capacity in cubic inches?

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

Answer:

First, we need to find the answer.

answer in cubic inches = 57.75

57.75 rounds up to 58

so the answer is 58.

Step-by-step explanation: Please brainliest!

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3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

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Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

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We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

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So, correct answer is option B. AA

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3 years ago

Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Alex Ar [27]

Answer:

Option D is correct.

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Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

$\angle ADE = \angle ABE$ [Angle] [Given]

$\angle DAE = \angle BAC$ [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒ $\triangle ADE \sim \triangle ABC$

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