Prove: m∠BAC = m∠BCA Statement Reason 1. Let ∆ABC be an isosceles triangle where AB = BC. given 2. Create point D on side so that bisects ∠ABC as shown. constructing an angle bisector 3. M∠ABD = m∠CBD 4. BD = BD Reflexive Property of Equality 5. ∆ABD ≅ ∆CBD SAS 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 3 in this proof?

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?

The value of the expression 16-^3/4 8 1/8 -6 6 1/40 1/64

Prove that 16^4-2^13-4^5 is divisible by 11.