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Whitepunk [10]
3 years ago
12

If you place 35 points on a piece of paper so that no three points are in a line, how many line segments are necessary to connec

t each point to all the others?
Mathematics
2 answers:
Ganezh [65]3 years ago
4 0
<span>Thank you for posting your Math question here at brainly. The line segments that are necessary to be connected to each point is 34. The total number of such connection is C(35,2) = 35 * 34/2. I hope the answer helps. </span>
bogdanovich [222]3 years ago
3 0

Answer:

595 line segments are necessary to connect each point to all the others.

Step-by-step explanation:

Consider the provided information.

The formula for the number of line segments between "n" non-collinear points is:

\frac{n\times ( n -1 )}{2} Segments

Here it is given that there are 35 points.

Substitute n = 35 in above formula.

\frac{35\times (35 -1 )}{2}

\frac{35\times 34}{2}

35\times 17

595 Segments

Hence, 595 line segments are necessary to connect each point to all the others.

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A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by p
meriva

Answer:

40

Step-by-step explanation:

Given that

Total number of adults, U = 285

Number of plane travellers, P = 75

Number of train travellers, T = 55

To find the number of people that didn't travel by any means of transportation listed in the question, then we say

Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.

This means that number of people who didn't travel by any of the three means of transportation, N =

N = U - pt - b

N = 285 - 215 - 30

N = 40

Therefore, the total number needed is 40

7 0
2 years ago
Quadrilateral PQRS is circumscribed about a circle. Line PQ is tangent to the circle at A, line QR at B, line RS at C, and line
yuradex [85]
The sum of the angles of a quadrilateral is 360 degrees.  So P+Q+R is 206, 360 - 206 = 154 degrees, the measure of angle S.

The four triangles, AQB, BRC, CSD, and DPA are all isosceles.  So angle QBA = angle BAQ, etc.  We find QBA = (180-24)/2 or 78 degrees.

RBC = (180-114)/2 = 33 degrees.

180 - (78 + 33) is the measure of angle B:  69 degrees.

The student should be able to see how to calculate the missing information from this.
6 0
2 years ago
I need with explanation ​
Vitek1552 [10]

Which of the following (1, 16, 27, 81) is not a square number?

5 0
2 years ago
Find the value of h .
MariettaO [177]

Answer:

xowowo2o2oeoddoxxocckckcll

6 0
3 years ago
A certain forest covers an area of 2400 km^2. Suppose that each year this area decreases by 5.75%. What will the area be after 8
kolezko [41]
We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.
5 0
3 years ago
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