Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
Answer: The answer is (B) ∠SYD.
Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.
We are given four angles, out of which one should be chosen which is congruent to ∠CXP.
The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.
For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.
Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.
Thus, we have
∠CXP ≅ ∠SYD.
So, option (B) is correct.
