Consider the transformation of a δabc to produce a δdef. which sequence of transformations results in triangles similar but not congruent?

a) horizontal reflection, then vertical reflection

b) translation 4 units right, then vertical reflection

c) 180° clockwise rotation, then translation 7 units down

d) translation 5 units up, then dilation with a factor of

1

4

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?