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exis [7]
3 years ago
8

How many point(s) define a space?

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

<h2>four points</h2>

Step-by-step explanation:

Two points define a straight line (look at the picture #1).

Three non-collinear points define a plane (look at the picture #2).

Four points not lying in one plane, define space (look at the picture #3).

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3 years ago
Given klmn is a trapezoid, kl = mn, m&lt;1 = m&lt;2, lm/kn = 8/9, pklmn = 132. Find: the length of the legs
Ilia_Sergeevich [38]

Answer:

The length of legs lm, mn, and lk is 32 while that of kn is 36.

Step-by-step explanation:

The diagram is attached in the answer.

As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk

This leads the two set of legs such as

\dfrac{lm}{kn}=\dfrac{8}{9}

Or this could be written as

lm=8x\\kn=9x

Now the remaining two sides are given as

lk=lm as this form an isosceles triangle so

lk=8x

Similarly

mn=lm\\

Or

mn=8x

Now the perimeter is given as

\text{perimeter}=lm+mn+kn+lk\\

Here perimeter is given as 132 so this gives:

\text{perimeter}=lm+mn+kn+lk\\132=8x+8x+8x+9x\\132=33x\\x=\dfrac{132}{33}\\x=4

So the four legs are of length as given below:

lm=8x=8\times 4=32\\mn=8x=8\times 4=32\\lk=8x=8\times 4=32\\kn=9x=9\times4=36

So the length of legs lm, mn, and lk is 32 while that of kn is 36.

6 0
3 years ago
What is the following sum ?
Hitman42 [59]
Answer: 4th option

Explanation:

I added a picture so please check it

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3 years ago
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Answer:

60

Step-by-step explanation:

All you have to do is this:

24 * 2/5 (original equation)

24*5/2 = 60

6 0
4 years ago
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