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MrRissso [65]
3 years ago
15

What is 3 In3-In9 expressed as a single natural logarithim

Mathematics
2 answers:
Alexandra [31]3 years ago
7 0

3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3

Answer: \ln 3

Tanzania [10]3 years ago
6 0

Answer:

ln 3

Step-by-step explanation:

Using the rules of logarithms

• log x^{n} ⇔ n logx

• log x - log y = log (\frac{x}{y} )

Given

3 ln3 - ln9, then

= ln 3³ - ln 9

= ln 27 - ln 9

= ln (\frac{27}{9} ) = ln 3

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BigorU [14]

The congruence of the angles and triangles are proven as follows;

a. The composition angles of FGH are alternate interior angles to the composition angles of angle AHEF

b. The three sides of triangle ∆EHG are congruent to the three sides of triangle ∆GFE, therefore, triangles ∆EHG and ∆GFE are congruent by SSS congruency rule

<h3>What are congruent triangles?</h3>

The lengths of the three sides of triangles that are congruent.

a. The shape of quadrilateral EFGH = A parallelogram

The measure of angle HEF = 90°

Angle HEF = 90°

Angle HEF = Angle HED + Angle DEF

Angle HED is congruent to angle FGD (Alternate interior angles theorem)

Angle HED = angle FGD

Angle DEF is congruent to angle DGH (Alternate interior angles theorem)

Angle DEF = angle DGH

Angle FGH = Angle FGD + Angle DGH

Angle FGH = Angle HED + Angle DEF (Substitution property)

Angle FGH = Angle HEF (Transitive property)

Angle FGH = Angle HEF = 90°

Therefore, the statement that will help prove angle FGH is also a right is that angle FGH is the sum of angles FGD and angle DGH which are alternate interior angles to angles HED and DEF which makes up angle HEF, which is a right angle.

b. The two-column method can be used to prove that triangle EHG and triangle GFE are congruent as follows;

Statement. Reason

EF is congruent to HG. Opposite sides of a parallelogram are congruent

EH is congruent FG Opposite sides of a parallelogram are congruent

EG is congruent to EG Reflexive property of congruency

∆EHG is cong. to ∆GFE SSS, Side-Side-Side, congruency rule

Learn more about the triangle congruency rules here:

brainly.com/question/15338506

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9 months ago
Which of the following situations can be modeled by the expression 5 - (-3)?
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Answer:the first option

Step-by-step explanation:

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Root 78 would go Between 8 and 9
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Iteru [2.4K]
2x16
4x8
And of course 1x32
6 0
3 years ago
Read 2 more answers
Which of the following terms correctly describes the fraction 14⁄6?
Taya2010 [7]

Answer:

Improper fraction

Step-by-step explanation:

we know that

<u><em>Improper fraction</em></u> is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number)

In this problem we have

14/6

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