What sequence of transformations, when applied to △ABC, shows that ​ ​△ABC​ ​ is similar to △A′B′C′? A. dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left

B. translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 12

C. translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12

D. dilation with respect to the origin by a scale factor of 12 followed by a translation of 2 units right

Two cyclists 84 miles apart start riding toward each other at the samen time. one cycles 2 times as fast as the other. if they meet 4 hours later what is the speed (in miles) of the faster cyclists

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.