Determine the value of a, the arc length in inches intercepted by the angle with a measure of 2.1 radians, given that the radius of the circle is 7 inches.

Joey is asked to name a quadrilateral that is also a rhombus and has 2 pairs of parallel sides.should be his answer

Given: ab ≅ cd and ad ≅ bc prove: abcd is a parallelogram. statements reasons 1. ab ≅ cd; ad ≅ bc 1. given 2. ac ≅ ac 2. reflexive property 3. △adc ≅ △cba 3. ? 4. ∠dac ≅ ∠bca; ∠acd ≅ ∠cab 4. cpctc 5. ∠dac and ∠bca are alt. int. ∠s; ∠acd and ∠cab are alt. int. ∠s 5. definition of alternate interior angles 6. ab ∥ cd; ad ∥ bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3? triangle angle sum theorem sas congruency theorem sss congruency theorem cpctc

The distance a bicycle travels with each turn of its wheels is about 3 1/7 times the tire diameter. the tires on mike’s bicycle have a diameter of 24 1/2 inches. how far does it travel with each turn of the wheels?