For this, we will be using Triangle Angle Sum Theorem (all interior angles in a triangle add up to 180°) for Triangle BCD. Since Angle CBD and BDC are congruent to each other and Angle BDA, we can solve for those two angles to get that angle. Our equation will look like this:
Firstly, subtract 35 on both sides of the equation:
Next, divide both sides by 2 and your answer will be 72.5 = x.
Since Angle CBD and BDC are 72.5°, this means that Angle BDA is 72.5° as well.
Answer:
<em>(A) 560 students</em>
<em>(B) P = 0.41</em>
Step-by-step explanation:
<em>(Please check the attached picture for more details)</em>
As given, a survey of 1000 students found that:
41% of the surveyed students were freshmen
=> 1000 x 41/100 = 410 surveyed students were freshmen
31% were juniors
=> 1000 x 31/100 = 310 surveyed students were junior
67% of surveyed students lived on the college campus
=> 1000 x 67/100 = 670 surveyed students lived on the campus
<em>(A) 260 of the surveyed students were freshmen living on the campus</em>
=> A = 410 - 260 = 150 surveyed students were freshmen NOT living on the campus
=> B = 670 - 260 = 410 surveyed students were not freshmen living on the campus
=> The number of surveyed students who were either freshmen or living on the campus:
N = A + B = 150 + 410 = 560
<em>(B) From a previous survey you know that of interviewed juniors, only 23% live on campus (we don't really need this)</em>
=>The probability a surveyed student is a junior or someone that lives on campus: P = (670 - 260)/1000 = 0.41
I hope this helps!
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