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chavice
18.07.2019 •
Mathematics
Iam supposed to find the value of 'a' but i don't know why we add a third line. can someone explain to me how to solve it and why?
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Ответ:
Step-by-step explanation:
It seems easiest to relate the angles if we can take advantage of the fact that alternate interior angles where a transversal crosses parallel lines are congruent. We can use this fact a couple of ways:
1. draw line CF to the right from point C parallel to AB and DE. Then angle BCF is 35°, matching angle CBA.
Angles FCD and CDE are supplementary, being same-side angles where transversal CD crosses parallel lines CF and DE. Hence angle FCD is 180° -120° = 60°.
Angle C is the sum of angles BCF and FCD, so is 35° + 60° = 95°. In short, ...
a° = 95°
__
2. We can extend lines BC and ED so they meet at point G, forming triangle CGD. The angle at G is an alternate interior angle with angle B where transversal BG crosses parallel lines AB and GE. Hence angle G is 35°.
Angle CDG is the supplement to angle CDE, so is 180° -120° = 60°. And angle a° is the sum of opposite interior angles CDG and CGD, so is ...
a° = ∠CDG + ∠CGD = 60° +35°
a° = 95°
Ответ:
The required z-score = 1.25
Step-by-step explanation:
Let x be a random variable that denotes the scores in the exam.
The formula for z-score =![\dfrac{X-\text{mean}}{\text{standard deviation}}](/tpl/images/1257/6405/16194.png)
As per given, we have
X= 625, mean=500, standard deviation = 100
Z-score =![\dfrac{625-500}{100}](/tpl/images/1257/6405/c2e39.png)
i.e. Z-score =![\dfrac{125}{100}](/tpl/images/1257/6405/45255.png)
i.e. Z-score =1.25
Hence, the required z-score = 1.25