Help.
im practicing for my upcoming exams and my teacher has given us practice papers but im struggling ... need step by step explanation so i can learn from it ..thnks

Part (a)

42

Work Shown:

The angle ABC is 90 degrees since AB and BC are perpendicular. The two segments form a right angle. Therefore, the three pieces of the angle must add to 90

24+x+24 = 90

x+48 = 90

x+48-48 = 90-48 ... subtracting 48 from both sides

x = 42

Part (b), subpart (i)

Angle q is congruent to the 135 degree angle because they are vertical angles.

Vertical angles are opposite angles formed by the X shape when two lines cross, and vertical angles are always the same measure.

Part (b), subpart (ii)

225

Reasoning:

The four angles p,q,r and the 135 all add to 360, so,

p+q+r+135 = 360

subtract 135 from both sides so we isolate the "p+q+r" and that leads to

p+q+r+135 = 360

p+q+r+135-135 = 360-135

p+q+r = 225

2? if not the correct answer you might need to provide more information

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: