In the diagram $\overline{OX}$ bisects $\angle YXZ$ and $\overline{OZ}$bisects $\angle YZX$If $\angle XYZ={{68}^{\circ }}$, Calculate the value of $\angle XOZ$

Consider the following statements: 

X : Locally manufactured tyres are attractive

Y : Many locally manufactured tyres do not last long

Denoting locally manufactured by M, attractive tyres by R and lost lasting tyres tyres by L.

Which of these Venn diagrams illustrates the statements?

In a circle radius r cm, a chord is  long 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r

A letter is selected from the letter of the English alphabet, What is the probability that letter selected is from the word MATHEMATICS?

Two angles of a pentagon are in the ratio 2:3. The others are 60^o each. Calculate the smaller of the two angles

In the diagram, the shaded part is a carpet laid in a room with dimensions 3.5m by 2.2m leaving a margin of 0.5m round it. Find the area of the margin

Calculate the mean deviation of 5, 3, 0, 7, 2, 1

Find the value of P if $\tfrac{1}{4}p+3q=10$and $2p-\tfrac{1}{3}q=7$ 

Describe the shaded portion in the diagram 

A trader brought 100 oranges at 5 for N40.00 ad sold them at 20 for N120.00. Find the profit or loss percent