A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
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Answer:
Step-by-step explanation:
Let the weight of box Y be w kg.
Box X weighs 33 kg more than Box Y, then the weight of box X is
kg.
Box Z weighs 12 kg more than Box Y, then the weight of box Z is
kg.
The total weight of all boxes is
kg
Jane measured the total weight of all the boxes and it was found to be 557 kg, therefore,
or
By angle addition postulate,
m(∠ABD) + m(∠DBC) = m(∠ABC)
Now substitute the values of each angle,
(5x + 5)° + (3x + 12)° = 153°
Combine like terms of the expression,
(5x + 3x) + (5 + 12) = 153
8x + 17 = 153
8x = 153 - 17
x =
x = 17
Substitute the value of 'x' to get the measure of each angle,
m(∠ABD) = (5x + 5)
= 5(17) + 5
= 90°
m(∠DBC) = (3x + 12)
= 3(17) + 12
= 63°
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