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Gala2k [10]
3 years ago
7

Do any three points not on the same line always, sometimes, or never determine a plane? Explain

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

  always

Step-by-step explanation:

There is exactly one plane through any three non-collinear points.

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Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

\dfrac{AD}{BD} = \dfrac{AE}{EC}

Therefore;

BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) }  = AD \times \dfrac{EC}{AE}

Which gives;

BD = 6 \times \dfrac{18}{12}= 9

Similarly, given that EF is parallel to AB, we get;

\dfrac{AE}{EC} = \dfrac{BF}{FC}

Therefore;

BF = FC \times \dfrac{AE}{EC}

Which gives;

BF = 24 \times \dfrac{12}{18} = 16

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

8 0
3 years ago
The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. sandi skates along a path that can be mo
WARRIOR [948]

The answers to the question are are the equations

y = 0.08x²-1.6x+13

y = 0.08(x-10)²+5

<h3>How to solve for the system of equations</h3>

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Vertex form of quadratic function is

y = a(x-h)^2+k

13 = a(x-10)²+5

let x = 20

a(20-10)²+5

13 = 100a + 5

take like terms

13 - 5 = 100a

8 = 100a

divide through by 100

a = 0.08

hence the equation would be

y = 0.08(x-10)²+5

Read more on equations here:

brainly.com/question/9621134

#SPJ1

5 0
1 year ago
Change word phrase to expressions or equations<br><br> The sum of p and 45 less than 89
stellarik [79]

Answer:

p + 45 < 89

Step-by-step explanation:

The sum of something is the result of addition so you know that they are adding p and 45 together. They then state that p plus 45 must be less than 89. You can show that by using the less than symbol "<"

If you want to find all of the different values that P could equal then all you have to do is subtract 45 from both sides so the equation would be

p < 44

this means that p can equal anything less than 44 for this statement to be valid. Hope this helped!

5 0
3 years ago
My cupcake recipe makes 12 cupcakes and requires 1 1/2 sticks of butter. I can only buy whole sticks of butter. How many whole s
EleoNora [17]

Answer:

13 sticks of butter

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to j+j+2k
butalik [34]

Answer:

2j+2k

Step-by-step explanation:

You didn't give any options so:

j+j+2k=

<em>Combine like terms</em>

2j+2k

3 0
3 years ago
Read 2 more answers
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