Find the value of x:

Step-by-step explanation:

angle (JIF) = 2x°

so angle (FIG) = (180 - 2x)°

Also , IK || EH

So , angle KIG = angle IGF = x°

angle (EFI) = 3x°

angle (IFG) = (180 - 3x)°

In triangle IFG ,

angle IGF + angle IFG + angle FIG = 180°

=> x + 180 - 3x + 180 - 2x = 180

=> 360 - 4x = 180

=> 4x = 360 - 180 = 180

=> x = 180 / 4 = 45°

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: