Use the interactive Spider Tool located on page 1 of this activity to recreate the five-pointed star logo. Start by asking the spider to move 50 units, rotate 144 degrees, and repeat the sequence until she returns to her starting point. Remember that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area. (To draw the logo with the feet of the star on the bottom, have her rotate 72 degrees, move 50 units, rotate 144 degrees, and then repeat the sequence until she returns to her starting point.) In the space below, sketch the five-pointed star logo you created with the Spider Tool.

Use the discriminant to describe the roots of each equation. then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

Solve the equation - 2(m -30) = -6m a-15 b-13 c-8 d8

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