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GenaCL600 [577]
2 years ago
7

A single person pays $4,500 in income taxes on a gross income of $30,000. How much would a single person be expected to pay if h

is gross income is $32,000? (Assume both incomes are in the same tax bracket.)
Mathematics
2 answers:
zzz [600]2 years ago
5 0

4500/30000 =0.15

32000 * 0.15 = 4800

Gre4nikov [31]2 years ago
3 0
T/32000=4500/30000, multiply both sides by 32000

t=32000*4500/30000

t=144000000/30000

t=$(14400/3)

t=$4800
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Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
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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:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

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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

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---------------------
Part F:

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

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