(a) Make m the subject of the relations \(h = \frac{mt}{d(m + p)}\). (b) In the diagram, WY and WZ are straight lines, O is the centre of circle WXM and < X...

(a) Make m the subject of the relations \(h = \frac{mt}{d(m + p)}\).

(b)  

In the diagram, WY and WZ are straight lines, O is the centre of circle WXM and < XWM = 48°. Calculate the value of < WYZ.

(c) An operation \(\star\) is defind on the set X = {1, 3, 5, 6} by \(m \star n = m + n + 2 (mod 7)\) where \(m, n \in X\).

(i) Draw a table for the operation.

(ii) Using the table, find the truth set of : (I) \(3 \star n = 3\) ; (II) \(n \star n = 3\).