Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5
2 answers:
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Answer:
This is proved by ASA congruent rule.
Step-by-step explanation:
Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ
we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.
In ΔAPN and ΔAQL
∠PNA=∠ALQ (∵alternate angles)
AN=AL (∵diagonals of parallelogram bisect each other)
∠PAN=∠LAQ (∵vertically opposite angles)
∴ By ASA rule ΔAPN ≅ ΔAQL
Hence, by CPCT i.e Corresponding parts of congruent triangles PA=AQ
Hence, A is equidistant from LM and KN.
Answer: 63°
<u>Step-by-step explanation:</u>
Since BD is the diameter, then arc BCD = 180°
Given that arc BC = 54°, then arc CD = 180° - 54° = 126°
∠DBC is an intercepted angle -> DBC = half of arc CD
