3 years ago

Use the diagram to find the value of x (Help Please)

2 answers:

8 0

We know, Sum of all the angles in a hexagon is equal to 720

So, 150 + 152 + 91 + 90 + 90 + x = 720
573 + x = 720
x = 720 - 573
x = 147

In short, Your Answer would be Option C

Hope this helps!

blsea [12.9K]3 years ago

5 0

The sum of the interior angles of a hexagon is 720 degrees, and there are two right angles. The sum of the known angles is 573, so 720-573 is 147.
Pick c.

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$\Omega=\{1;\ 2;\ 3;\ 4;\ 5;\ 6;\ 7;\ 8;\ 9;\ 10\}\\\\|\Omega|=10\\\\A=\{1;\ 3;\ 6;\ 7\};\ B=\{2;\ 3\}\\\\A\ \cup\ B=\{1;\ 2;\ 3;\ 6;\ 7\}\\\\|A\ \cup\ B|=5\\\\P(A\ \cup\ B)=\dfrac{|A\ \cup\ B|}{|\Omega|}\to P(A\ \cup\ B)=\dfrac{5}{10}=\dfrac{1}{2}=0.5=0.50$