Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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Answer:
-1, -1.1, 0.9, 1
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer:
a) 91.4%
b) 37.6%
c) 26.8%
Step-by-step explanation:
For each of these, we'll get a z-score, then use our calculators to find the area using normalcdf (on TI-84, 2nd->VARS->2)
a) z = (9-6.4) / 1.9 = 1.368
normalcdf(-999,1.368) = .914 = 91.4%
b) z = (7-6.4) / 1.9 = .316
normalcdf(.316,999) = .376 = 37.6%
c) normalcdf(.316,1.368) = .268 = 26.8%