Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the ident ity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
1 answer:
Answer:
Step-by-step explanation:
X = 26 ; y = 27
(x − y)2 = x² − 2xy + y²
(26 - 27)² = 26² - 2(26)(27) + 27²
(-1)² = 676 - 1404 + 729
1 = 1405 - 1404
1 = 1
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Sin < C = 63/65 so m < C = 75.75 degrees and tan B = 16/63 so m <B = 14.25 degrees m < C + m<B = 75.75 + 14.25 = 90 degrees Therefore m < A = 180-90 = 90 therefore the triangle is right-angled.
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