Given: △ABC with side lengths a, b, and c, and height h Prove: Area=12absinC Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b. Drag and drop the statements into the boxes to correctly complete the proof. Statement Reason △ABC with side lengths a, b, and c, and height h Given Triangle area formula sinC=ha Definition of sine Response area Multiplication Property of Equality Area=12basinC Substitution Property Response area Commutative Property of Multiplication

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

Complete the solution of the equation. find the value of y when x equals -5. -4x - 8y = -52

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.