In the diagram, O is the centre of the circle. If < NLM = 74\(^o\), < LMN = 39\(^o\) and < LOM = x, find the value of x.

Express 1 + 2 log10\(^3\) in the form log10\(^9\)

Simplify; [(\(\frac{16}{9}\))\(^{\frac{-3}{2}}\) x 16\(^{\frac{-3}{2}}\)]\(^{\frac{1}{3}}\)

An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x

Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83

Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) = x + y\(\sqrt{15}\), find the value of (x + y)

If 101\(_{\text{two}}\) + 12y = 3.3\(_{\text{five}}\). Find the value of y

If X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of \(\mu\) = {1, 2, 3...10} find X \(\cap\) Y.

If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^2\))