I is a point inside the rectangle ABCD:
a) If IA = 13 cm, IB = 8 cm and IC = 4 cm. Find ID = ...
b) IA = 4 cm, IB = 8 cm, IC = 4 cm. Find ID = ...

When the polynomial f (x) is divisible by x + 2 and x² + 1, it leaves the remainders 7 and x + 4 respectively. What is the remainder when f (x) is divided by (x + 2)(x² + 4)

When the polynomial f (x) is divisible by x + 2 and x² + 1, it leaves the reminders 7 and x + 4 respectively. What is the remainder when f (x) is divided by (x + 2)(x² + 1) 

The trapezoid ABCD has \(\widehat{A}=\widehat{B}=90^o\), \(AB^2=AD\times BC\) and \(AC^2+BD^2=64\). Find the greatest possible area of the trapezoid ABCD.

A trapezium ABCD has two paralell sides AB and CD. The diagonals AC and BD intesect at E. If the areas of triangles CDE and CDB are 1 and 4 respectively, what is the area of trapezium ABCD? 

The operation @ on two numbers produces a number equal to their sum minus 2. The value of  (1 @ 2 @ 3 @ ... @ 2017)

Given \(f\left(x\right)=\dfrac{2x^2+3x+3}{2x-1}.\) If a and f(a) are both integer we say that f(a) is an element of the set A. What is the sum of all elements of the set A?

Given \(f\left(x\right)=\dfrac{2x^2+3x+3}{2x-1}\). If a and f (a) are both integers, we say that f (a) is an element of the set A. What is the sum of all elements of the set A?

Let ABCD be the square with the side length 56 cm. If E and F lie on CD, BC respectively that CF = 14 cm, and \(\widehat{EAF}=45^o\) then CE = ...