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3 years ago

Which of the following are among the five basic postulates of euclidean geometry? check all that apply

Mathematics

2 answers:

scoray [572]3 years ago

7 0

Answer with explanation:

Postulates or Axioms are universal truth statement , whereas theorem requires proof.

Out of four options given ,the following are basic postulates of euclidean geometry:

Option C: A straight line segment can be drawn between any two points.

→To draw a straight line segment either in space or in two dimensional plane you need only two points to determine a unique line segment.

Option D: any straight line segment can be extended indefinitely

→Yes ,a line segment has two end points, and you can extend it from any side to obtain a line or new line segment.

We need other geometrical instruments , apart from straightedge and compass to create any figure like, Protractor, Set Squares.

So, Option A is not Euclid Statement.

Option B , is a theorem,which is the angles of a triangle always add up to 180 degrees,not a Euclid axiom.

→Option C, and Option D

PilotLPTM [1.2K]3 years ago

5 0

The answers are c and d

a straight line segment can be drawn between any two points

any straight line segment can be extended indefinitely

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baherus [9]

Answer:

1 x=15

2 x=3

3 x=3

These are the answers

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3 years ago

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In a triangle shown, which shows the correct order of the side lengths from smallest to largest.

Vera_Pavlovna [14]

Answer:

Not sure if there are options, but the order of side lengths from smallest to largest is j, k, l

Step-by-step explanation:

This is a bad explanation (sorry):

Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.

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3 years ago

Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.

Vlad [161]

Answer:

Catron's error is

"She did not follow order of operations"

Step-by-step explanation:

Catron evaluates the expression (negative 9) (2 and two-fifths)

That expression can be written as below

$(-9)(2\frac{2}{5})$

Catron's error is

"She did not follow order of operations"

The corrected steps are

Step1: Given expression is $(-9)(2\frac{2}{5})$

Step2: Convert mixed fraction into improper fraction

$(-9)(2\frac{2}{5})=(-9)(\frac{12}{5})$

Step3: Multiplying the terms

$(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

Therefore solution $(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

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Suppose you invested $10,000 part at 6% annual interest and the rest at 9% annual interest. If you received $684 in interest aft

victus00 [196]

Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900

Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%

method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800

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