The angle of a polygon are x, 2x, 2x,  (x + 30^o), (x +20^o) and (x –10^o). Find the value of x

In the diagram, PR is a tangent to the circle  at Q , $QT\parallel RS$, $\angle SQR=35{}^\circ $and $\angle RSQ=50{}^\circ $Find the value of $\angle QST$

Find the value of t in the diagram

In the diagram, PS and RS are tangents to the circle centre O, $\angle PSR=70{}^\circ $, $\angle POR=m$and $\angle PQR=n$. Find (m + n)

In the diagram, which of the following ratios is equal to $\frac{\left| PN \right|}{\left| PQ \right|}$?

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector.[Take $\pi=\tfrac(22/7)]

The surface area of a sphere is $\tfrac{792}{7}c{{m}^{2}}$. Find, correct to the nearest whole number, its volume [Take $\pi =\tfrac{22}{7}$]

The volume of a cylindrical tank, 10m high is 385m³. Find the diameter of the tank [Take $\pi =\tfrac{22}{7}$]

A curve is such that when y = 0, x = – 2 or x = 3. Find the equation of the curve.

Simplify$\frac{2-18{{m}^{2}}}{1+3m}$