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adell [148]
3 years ago
15

I NEED HELP PLEASE, THANKS. :)

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

C. 28.6units^2, 0.28

Step-by-step explanation:

<em><u>To find the white portion's area, you add 44 and 47, then multiply it by π</u></em>r^2:

44 + 47 = 91

\frac{91}{360}(3.14)(6)^2

A = 28.574   →    A = 28.6

<em><u>There are 7 parts of the circle, and 2 of them are white. So divide 2 by 7:</u></em>

2 ÷ 7 = 0.28

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Answer for part A: Definition of perpendicular
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Answer for part C: Reflexive Property of Congruence
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Explanations:

Part A:

We are given that \overline{RX} \perp \overline{ST} which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

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Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

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Part C:

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Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing \triangle SXR \cong \triangle TXR means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

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Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

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If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.
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