(09.03 MC)

Mathematics

1 answer:

Likurg_2 [28]1 year ago

8 0

Answer: Ox²1

Ox≤23

2 3

5 6

Step-by-step explanation:

Ox²1

Ox≤2

Oy²-3

2 3

5 6

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please help me with this geometry homework. Oh and also I'm looking for a tutor a couple days a week so if you know anyone messa

sergij07 [2.7K]

The sum of the interior angles of an n gon is <span> (n-2)*180
the measure of each interior angle is </span><span>(n-2)*180/n
the measure of each individual exterior angle of an ngon is 360/n
all exterior angles add to 360

1. sum of 15 gon is
(15-2)*180=13*180=2340 degrees

2. deca is 10
(10-2)*180/10=8*18=144 degrees

3. dodecagon is 12 sides
360/12=30 degrees

4. 4 sides, those are exterior angles, so they add to 360
4r+7r+8r+5r=360
24r=360
r=15 degrees

5.
pentagon or 5 sides
sum of internal is (5-2)*180=3*180=540 degrees
540=4z+5z+3z+5z+3z
540=20z
27 degrees=z
3z=81=A=D
4z=108=B
5z=135=C=E

6. (n-2)*180
20 gon
(20-2)*180=18*180=3240 degrees

7. exterior angles add to 360
4y+2y+4y+6y=360
16y=360
y=22.5
2y=45 degrees
4y=90 degrees
6y=135 degrees

8. interior angles of 4 gon sum is
(4-2)*180=2*180=360
2n+6n+5n+2n=360
15n=360
n=24
2n=48
5n=120
6n=144

9.
6gon
(6-2)*180=4*180=720
90+90+x+x+22+x+x+22=720
224+4x=720
minus 224 both sides
4x=496
divide by 4
x=124

10., exterior angle of pentagon, 5 gon
360/5=72=x

11.
(n-2)*180/n=4*(360/n)
times both sides by n
(n-2)*180=4*360
divide both sides by 180
n-2=4*2
n-2=8
n=10
10 sides

12.
area of octogon of side is
</span>2(1+√2)s² where s is the side length
given, 12=side length
A=2(1+√2)12²
A=2(1+√2)144²
A=288(1+√2)
A=288+288√2 square cm

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) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and the

Fofino [41]

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

ii) There are 10 number of counters not 4

b) $\dfrac{3}{10}$

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is $\frac{1}4 + \frac{1}4 = \frac{2}4$ , so the probability is $\frac{1}2$ "