8 ÷ 544 = 0.0147058824, 544 ÷ 8 = 68
(a) 28%
(b) 24%
When calculating the total amount of people it come out to 150.
According to the table 42 people smoke. 42/150 is 28%
According to the table 36 people exercise regularly. 36/150 is 24%
Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.
Explanation:
The conjecture, #angleA and angleC# allows us to write the following equation:
#angleA + angleC=180^@#
Substitute the equivalent expressions in terms of x:
#x+2+ x-2 = 180^@#
#2x = 180^@#
#x = 90^@#
From this we can compute the measures of all of the angles.
#angleA=92^@#
#angleB=100^@#
#angleC=88^@#
<span>#angleD= 80^@#</span>
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y