1) The sum of ratio units is 4+5+8+7 = 24, which corresponds to the sum of angles, 360°. Then each ratio unit must stand for 360°/24 = 15°. Multiplying the given ratio units by 15° gives the angle measures:
4×15° = 60°
5×15° = 75°
8×15° = 120°
7×15° = 105°
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2) The similarity statement and the scale factor mean ...
MJ : TQ = 4 : 7
7·MJ = 4·TQ . . . . . . . . . "cross multiply"
TQ = 7/4×MJ = 7/4(58 m) . . . . . divide by 4, substitute the value of MJ
5% of $1000 is $50 bringing up her balance to $1050 minus the $10 fee at the end the year making her balance $1040. For year 2 it will be $1082 For year 3 it will be $1126.10 For year 4 it will be $1172.41 For year 5 it will be $1231.03