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2 years ago

What is a paragraph proof

Mathematics

2 answers:

pashok25 [27]2 years ago

8 0

A paragraph proof<span> is only a two-column </span>proof<span> written in sentences. </span>

Leno4ka [110]2 years ago

5 0

Answer:

Step-by-step explanation:

Paragraph proof:

Although there are three types of proofs namely

1) Two column proof

2) paragraph proof

3) flow chart proof

the paragraph proof is used to prove using sentences written in a paragraph.

It is a logical argument using sentences by giving evidences and details which lead to the conclusions.

Writing paragraph proof can be compared to solving a puzzle step by step.

This will have normally

Given, diagrams, prior knowledge in connection with proof, logical arguments and conclusions

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What is the base five representation of The number 219

ICE Princess25 [194]

assuming $219_{10}$

Then the column values for base five here are

5³ 5² $5^{1}$ $5^{0}$

We can get 1 × 5³ = 125 → 219 - 125 = 94

We can get 3 × 5² = 75 → 94 - 75 = 19

We can get 3 x $5^{1}$ → 19 - 15 = 4

and 4 = 4 × $5^{0}$

Thus $219_{10}$ = $1334_{5}$

As a check

(1 × 125 ) + (3 × 25 ) + (3 × 5 ) + 4 = 219

3 0

2 years ago

Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7). f(x)=

agasfer [191]

Answer:

y=5(x-3)^2+2

Step-by-step explanation:

You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.

7 0

2 years ago

Write the contrapositive of the conditional statement. If a shape is a rhombus, then it has four congruent sides.

NikAS [45]

If the figure does not have four congruent sides, then the shape is not a rhombus.

7 0

2 years ago

4. Joe likes sports. He has 4 soccer medals, 1 tennis medal, 3 swimming medals and 5

Lady_Fox [76]

Answer:

4:3

Step-by-step explanation:

He has 4 Soccer Medals, 3 Swimming Medals

So it would be 4:3

6 0

2 years ago

If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

2 years ago