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Answer:
Δ MNO ≅ ΔXYZ by AAS postulate.
Step-by-step explanation:
Given:
,
, and YO = NZ.
Consider YO = NZ
Add OZ on both sides
YO + OZ = NZ + OZ
YZ = NO
Consider triangles Δ MNO and ΔXYZ.
Statement Reason
1. Given
2. Given
3. YZ = NO ∵ YO = NZ
Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.
A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:
Now that we have converted to grams, let's add the weight to get the total gross weight:
So the gross weight of the package is 7.675 kg.
b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:
However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:
Now we know that the total cost of shipping, in dollars, is equal to $5.68.
Now that we have converted to grams, let's add the weight to get the total gross weight:
So the gross weight of the package is 7.675 kg.
b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:
However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:
Now we know that the total cost of shipping, in dollars, is equal to $5.68.