Square A'B'C'D' is the image of square ABCD under a dilation from center O¹ by scale factor r. Square A''B''C''D'' is the image of square A'B'C'D' under a dilation from center O² by scale factor 1/4. The side lengths of square A''B''C''D'' are 1/8 of the corresponding side lengths of square ABCD. What is the scale factor r?

1234567891011 match the reasons with the statements in the proof. given: j | | k m 1 = m 3 prove: l | | m 1. j||k, m∠3 = m∠1 if lines are ||, then corresponding angles are =. 2. m∠1 = m∠2 if alternate interior angles are =, then lines are ||. 3. m∠2 = m∠3 substitution 4. l||m given

Abaker makes 186 cookies. some are chocolate chip and some are oatmeal raisin, and both kinds are made with and without nuts, as shown in the table above. because they are more popular, the baker made 2/3 of the cookies chocolate chip. if a chocolate chip cookie is chosen at random, what is the probability that it will have nuts? a) 21/93 b) 21/62 c) 41/93 d) 21/41

Hardest math question of all time can you solve the equation. check for extraneous solutions.9∣9-8x∣ = 2x+3