Given: angle, A, C, E, \cong, angle, A, C, F, comma∠ACE≅∠ACF, angle, E, C, B, \cong, angle, F, C, D∠ECB≅∠FCD and start overline, B, C, end overline, \cong, start overline, D, C, end overline, .
BC ≅
DC .
Prove: start overline, A, B, end overline, \cong, start overline, A, D, end overline
AB ≅
AD .

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?