Question

100 POINTS

PLEASE DO THESE FOUR QUESTIONS (even if it’s just one)

1. write a number sentence expressing the value of the missing angle in the diagram below

2. write a number sentence expressing the value of r in the diagram

3. label the diagram below so that one pair of parallel lines, and one pair of equal lines

4. use the index laws to simplify the expression below, giving your answer with positive indices. SHOW ALL WORKING OUT.

Answer 1

Explanation:

1. k = 76°

2. r = 25cm

3. as the drawing attached

one pair of parallel lines : AB and DC

one pair of equal angles : L A and L D

4. (7²× 3`¹)⁴×7^5 / (3² × 7^(-6))³

= (7^8 × 3`⁴)×7^5/ (3² × 7^(-6))³

= (7^13 × 3`⁴)/ (3^6 × 7^(-18))

= (7^(31) × 3^(-10))

= 7^31 / 3^10