Jack wants to know how many families in his small neighborhood of 60 homes would organize a neighborhood fund-raising party. he put all the addresses in a bag and drew a random sample of 30 addresses. he then asked those families if they would organize the fund-raising party. he found that 12% of the families would organize the party. he claims that 12% of the neighborhood families would be expected to organize the party. is this a valid inference? no, this is not a valid inference because he asked only 30 families no, this is not a valid inference because he did not take a random sample of the neighborhood yes, this is a valid inference because he took a random sample of the neighborhood yes, this is a valid inference because the 30 families speak for the whole neighborhood

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

Drag statements and reasons to each row to show why the slope of the line between d and e is the same as the slope between e and f, given that triangles a and b are similar.

If two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement represent