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oee [108]
3 years ago
14

What is the measure of angle 1

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

Angle 1 is 75 degrees (c) & Angle 2 is 105 degrees (e)

Sum of 6 & 7 is 180

Step-by-step explanation:

75 degrees is directly across from angle 1, meaning they are the same. These are <em>vertical angles</em>.

Angle 2 & 75 degrees are <em>supplementary angles</em>, meaning they add up to 180 degrees.

Knowing that, we can do 180 - 75 = 105

6 & 7 are also <em>supplementary</em>, meaning that they are equal to 180 (a straight line).

Hope this helped. :)

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3 years ago
Circle F has a diameter of 36m and Find the length of . Leave your answer in terms of pi.
N76 [4]
A circle<span> is a simple closed </span>shape<span> in </span>Euclidean geometry<span>. It is the set of all </span>points<span> in a </span>plane<span> that are at a given distance from a given point, the </span>centre<span>; equivalently it is the curve traced out by a point that moves so that its distance from a given point is </span>constant<span>. The distance between any of the points and the centre is called the </span>radius<span>.

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8 0
3 years ago
6. Find the number of segments (chords) that can be drawn for each of the following:
Gnesinka [82]

Answer:

a) 10

b) 15

c) 190

d) {n \choose 2} = \frac{n!}{(n-2)!2!}

Step-by-step explanation:

Lets start with the generic item (d). In order to draw a chord we need to pick two endpoints from the total of n points of the circle and draw the line between them. The total amount of lines we can draw is equivalent to the total pair of points we can pick to draw them.

In other words, we can draw as many chords as the amount of subsets of 2 elements we can pick from a set of n. That number is the combinatorial number of n with 2 given by

{n \choose 2} = \frac{n!}{(n-2)!2!}

a) If n = 5, the answer is

{5 \choose 2} = \frac{5!}{(5-2)!2!} = \frac{120}{6*2} = 10

there are 10 possibilities

b) for n = 6

{6 \choose 2} = \frac{6!}{(6-2)!2!} = \frac{720}{24*2} = 15

15 possibilities

c) for n = 20, we have

{20 \choose 2} = \frac{20!}{(20-2)!2!} = 190

possibilities.

I hope that works for you!

6 0
3 years ago
The perimeter of a rectangle is 34 units. Its width is 6.56, point, 5 units.
kifflom [539]

Answer: equation for length 34- (6.5 times 2)  that whole thing divided by 2

Step-by-step explanation:

You know the width and a rectangle has 2 PAIRS of equal sides so if you know the width you just have to multiply that  by 2  [ to account 4 the other side with the same length] and subtract that from the perimeter! Then you divide that answer by 2 to get what one side's length is!

hope that helped if it was not helpful sorry because i am a first grader :/

4 0
3 years ago
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