Answer:
THE VALUE OF X = 3 .
Step-by-step explanation:
From the Δ RQP and Δ TSP ;
⇒ ∠ TPS = ∠ RPQ ( since both are common angle )
⇒ RQ ≈ TS ( parallel lines )
⇒ ∠ PRQ = ∠ PST ( Corresponding angle )
∴ Δ RQP ≅ Δ TSP ( BY ASA RULE )
Now ,
⇒ X = 3
Find the range of the given data set. 5/8, 3/4, 1 1/8, 1 1/4 A)5/8 B)3/4 C)1 1/8
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Prove:
Using mathemetical induction:
P(n) =
for n=1
P(n) = = 6
It is divisible by 2 and 3
Now, for n=k,
P(k) =
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) =
P(k+1) =
P(k+1) =
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.