Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘ . Given that m∠DCG=25∘ , this angle intercepts arc DG^ which makes mDG^=_ , this means that mED^=130∘ as EG^ is a diameter. Select a Value ∠CED intercepts CFD^ , which makes m∠CED=_ . Select a Value ∠ECD intercepts ED^ which makes m∠ECD=_ . Select a Value ∠CDF intercepts CF^ which is 60∘ , making m∠CDF=30∘ . Using the triangle sum theorem, m∠EDC=_ , and using Angle addition postulate the m∠EDF=55∘ . Select a Value

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

Abowl contained 270 starbursts of all different colors. if the probability of picking a yellow is 1/9, then how many yellow starbursts are in the bowl ? ?

Afarm is to be built in the shape of quadrilateral abcd, as shown below. all four sides are equal. a rhombus abcd is shown with diagonal ac equal to 15.5 feet and diagonal bd equal to 13.2 feet. what is the area of the farm? pleas only pick from the 4 below 62 square feet 52.8 square feet 57.4 square feet 102.3 square feet