Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.

Small box: $13; Large box: $16

Explanation:

Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.

In ∆abd, bd = c sin a
definition of cosine in right triangle :   from a  triangle . given any angle q (0 £ q £ 90°), we can find the sine or  cosine   of that angle by constructing a  right triangle   with one vertex of angle q. the sine is equal to the length of the side opposite to q, divided by the length of the  triangle's   hypotenuse.

definition of sine in right triangle:   the  sine   function, along with cosine and tangent, is one of the three most common trigonometric functions. in any  right triangle , the  sine   of an angle x is the length of the opposite side (o) divided by the length of the hypotenuse (h)

definition of tangent in right triangle:   the  tangent   function, along with sine and cosine, is one of the three most common trigonometric functions. in any  right triangle , the  tangent   of an angle is the length of the opposite side (o) divided by the length of the adjacent side (a).

if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent

in geometry, an  equilateral triangle   is a  triangle   in which all three sides are equal. in the familiar euclidean geometry,equilateral triangles   are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.