Write Sketch this situation or explain why it is impossible. Two parallel lines are intersected by a transversal so that the same-side interior angles are complementary.

Example 7 What is the smallest number of terms of the geometrical progression, \( 8+24+72+\ldots \), that will give a total greater than 6000000 ?

Bookwork code: 4D Work out the volume of the wate in the cuboid-shaped container below. Give your answer in millilitres \( (\mathrm{ml}) \) and give any decimal answers to 1 d.p. (Hint: \( 1 \mathrm{ml}=1 \mathrm{~cm}^{3} \) )

A sphere's diameter measures 12 inches. Calculate the surface area of the sphere.

If the dimensions of a rectangular prism are doubled, how does that affect the surface area and volume?

Esercizio 12.5 Determinare le equazioni parametriche e cartesiane della retta passante per i punti \( A \) e \( B \), dove; \( \begin{array}{l}\text { (i) } A=(-1,-1,0) \quad B=(-3,1,0) \\ \text { (ii) } A=(2,1,2) \quad B=(1,1,-1) \\ \text { (iii) } A=\left(\frac{3}{2}, \frac{8}{5}, 1\right) \quad B=\left(-\frac{1}{2}, \frac{1}{5}, 3\right)\end{array} \)