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.
Answer:
a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get
, which after cross multiplying yields
. PM me if you have any questions?
Answer:
-4,7
Step-by-step explanation:
add both to get y=7
then sub y in 2 to get 8x+42=10
8x=-32
x=-4
(3)×(-2)=-6 that's the answer
Answer:
The number of children that attended the game was 365
Step-by-step explanation:
Let
x ----> the number of children that attended the game
y ---> the number of adults that attended the game
we know that
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (365,222)
see the attached figure
therefore
The number of children that attended the game was 365