the sum of all the angles in a hexagon is 720°, so:
(4x-5)+117+(3x-3)+(3x+6)+118+(4x-3)=720
4x+3x+3x+4x= 720+5-117+3-6-118+3
14x=490
x= 490/14
x= 35
<u>Answer:</u>
A red marble out of the same jar, without replacing the first marble.
<u>Step-by-step explanation:</u>
Dependent events are those which involve a first event which affects the outcome of the second event.
This means that the probability of the second event changes because of the occurrence of the first event.
So if a blue marble is drawn out of one jar, then drawing a red marble out of the same jar, without replacing the first marble would be an example of dependent events.
Answer:
x = -9
Step-by-step explanation:
The attachment shows the labeling according to the problem statement.
The overall length is the sum of the constituent segment lengths, so ...
FG + GH = FH
(10 +x) +(7) = (2x +26)
x +17 = 2x +26
x -9 = 2x
-9 = x
__
<em>Check</em>
Then the segment length FG is ...
10 +x = 10 -9 = 1
and the overall length is ...
2x +26 = 2(-9) +26 = -18 +26 = 8
That is, 1 + 7 = 8.
15) 5/8
16)21.16 meters
17)C
S=15
Whatever the number of sides of a polygon,
the sum of its exterior angles is always <span>360∘</span>
Further, each pair of exterior angle and interior angle adds up to <span>180∘</span>
Hence in a polygon with s sides (or angles),
the sum of all the interior and exterior angles would be <span><span>180∘</span>×s</span>
and sum of interior angles would be <span><span>180∘</span>×n−<span>360∘</span>=<span>180∘</span><span>(s−2)</span></span>
As sum of angles is <span>2340∘</span>
Hence, <span>180<span>(s−2)</span>=2340</span> or <span>s−2=<span>2340180</span>=13</span>
and <span>s=13+2=15</span> and polygon is a Pentadecagon.
i hope u understand :)
