Use slopes and y-intercepts to determine if the lines x=−7 and x=5 are parallel.
1 answer:
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Answer:
240cm²
explanation
Diagonal ²=Length ²+breath ²
26²=10²+length ²
676=100+length ²
576=length ²
length=24cm
Area of a rectangle=length×breath
Area=24×10
=240cm²
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.
