A group of students collect a number of shells on the beach. They sort the shells into three piles based on the size of each shell. Pile 1 has half as many shells as the total amount they collected. Pile 2 has 10 fewer shells than the first pile. Pile 3 has the remaining shells. Write an expression that represents the number of shells in Pile 2.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

Find the measure of anglec in the following triangle