Which of the following can be the sides of a right angled triangle?
1 answer:
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Answer:
Step-by-step explanation:
Adjacent angles of parallelogram are supplementary.
∠A + ∠D = 180
Divide both sides by 2
∠A +
∠D = 90
∠PAD + ∠ADP = 90 --------------------(I)
IN ΔPAD,
∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}
90 + ∠APD = 180 {from (I)}
∠APD = 180 - 90
∠APD = 90
∠SPQ = ∠APD {vertically opposite angles}
∠SPQ = 90°
Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°
In a quadrilateral if each angle is 90°, then it is a rectangle.
PQRS is a rectangle.
3 hours 30 minutes
Explanation:
Step 1: Time taken to prepare 1 bag for 1 person
= of a minute
= × 60
= 40 seconds
Time taken to prepare 1575 bags for 1 person
= 1575 × 40
= 63000 seconds
Time taken to prepare 1575 bags for 5 persons (Ashley + 4 friends)
=
= 12600 seconds
Step 2: To convert 12600 seconds into hours
1 hour = 3600 seconds
12600 seconds =
= 3 hours 30 minutes
Hence Ashley and 4 of her friends will take 3 hours 30 minutes to prepare 1575 bags.