Solving using matrix method is not allowed in this question. In a factory, the number of staff in processing department exceeds the
number of staff in technical department by 24. The factory manager had supplied three T-shirts to each processing staff and two T-shirts to each technical staff. The total number of T-shirts supplied by the manager is 222.

Calculate the number of processing staff and number of technical staff.

answer: need picture of problem

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: