Which relationship is always true for the angles x, y, and z of triangle abc? a triangle is shown with a leg extending past the top vertex. the vertices are labeled abc. angle y is located inside the triangle at vertex b. angle z is located inside the triangle at vertex c. angle x is located outside the triangle between side ac and the extended leg. x + z = y y + z = x x + y + z = 180 degrees x + y + z = 90 degrees

What is the measure of x, in degrees

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?

Amayoral candidate would like to know her residents’ views on a tax on sugar drinks before the mayoral debates. she asks one thousand registered voters from both parties. these voters are an example of a census population convenience sample simple random sample