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Irina18 [472]
3 years ago
7

Given the following two statements, what conclusion can be made? Three noncollinear points determine a plane. Points S, O, N are

noncollinear.
Mathematics
2 answers:
laila [671]3 years ago
7 0
Actually, this has little to do with mathematics and geometry but has to do more with logical reasoning. You have two clauses to get a conclusion from. The reasoning is as follows:

Clause 1: <span>Three noncollinear points determine a plane
Clause 2: </span><span>Points S, O, N are noncollinear
</span>Conclusion: Therefore, points S, O and N form a plane.
matrenka [14]3 years ago
7 0

Answer:

The conclusion that can be drawn on the basis of two statements is:

<u>Conclusion: </u>Points S,O,N determines a plane

Step-by-step explanation:

We are given two statements we are asked to find what conclusion can be drawn based on the information by the given statements.

Statement 1: Three non-collinear points determine a plane.

statement 2: Points S, O, N are non-collinear.

The conclusion based on the two statements is:

<u>conclusion</u>: Points S,O,N determines a plane.


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The obvious one is (310 beats)/(1 minute).

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Isosceles triangle, perimeter if the perimeter of isosceles triangle abc is 20 and the length of side ac is 8, what is one possi
Hoochie [10]

The perimeter = 20 and AC = 8

Now as it is not mentioned which sides are equal of the isosceles triangle ABC,

We have two possible situations.

1)

If AC is the base

In that case AB = BC

Now AC = 8, AB = x , BC = x

So x + x + 8 = 20

2x + 8 = 20

2x = 12

x = 6

AB = BC = 6

2)

IF AC is not the base,

Then

AC = BC or AC = AB

So BC = 8 or AB = 8

If AB = AC = 8

Then

BC + 8 + 8 = 20

BC = 4

So there are two possible lengths of BC

Either it is BC = 8 or BC = 6 or BC = 4

The figure is attached for your reference.


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3 years ago
Read 2 more answers
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natima [27]

Answer:

125

Step-by-step explanation:

6 and 7 are on a straight line (180 degrees)

Angle 2 is equal to Angle 6

Therefore 180 - Angle 6 = Angle 7

180 - 55 = 125

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3 years ago
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WILL MARK BRAINLIEST, JUST HELP ME PLS
Luda [366]

Answer:

SAS theorem

Step-by-step explanation:

If \frac{CE}{CB} = \frac{DC}{AC} and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

\frac{EC}{BC} =  \frac{14}{21} = \frac{2}{3}           \frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}

So,  \frac{CE}{CB} = \frac{DC}{AC}  and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

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3 years ago
what is the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15,-5)
riadik2000 [5.3K]

Answer:

y = -\frac53x + 20

Step-by-step explanation:

Hello!

A line that is perpendicular to another has an opposite-reciprocal slope.

Meaning:

  • Flip the sign (+/-)
  • Flip the fraction

The slope perpendicular to 3/5 would be -5/3.

We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.

<h3 /><h3>Solve for B</h3>
  • y = -\frac53x + b
  • -5 = -\frac53(15) + b
  • -5 = -25 + b
  • 20 = b

The y-intercept of the new line is 20.

The equation is y = -\frac53x + 20

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