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3 years ago

Use division to rename each fraction given below 12/20

Mathematics

1 answer:

Rudik [331]3 years ago

5 0

Answer:

$Fraction = \frac{3}{5}$

Step-by-step explanation:

Given

$Fraction = \frac{12}{20}$

Required

Rename using division

This simply means that we reduce the fraction

So, we have:

$Fraction = \frac{12}{20}$

Divide by 4/4

$Fraction = \frac{12/4}{20/4}$

$Fraction = \frac{3}{5}$

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vlada-n [284]

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

angle CAB = angle CAD
AC = AC
angle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

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Answer:

$\large{ \boxed{ \tt{ - 20a {z}^{2} - 2 {z}^{3} - 2 {a}^{3} + 11 {a}^{2} z }}}$

- Please see the attached picture for full solution!:)

----------------- HappY LearninG <3 --------------

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2 years ago

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when dividing by 1000, the decimal point that is after 525 should move 3 decimal places to the left, then the decimal point comes before 525.
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