How could you use coordinate geometry to prove that segment BD and segment AC bisect one another?
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Answer:
Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.
Step-by-step explanation:
A lady buys total number of trinkets = 20
Cost of each trinket is either $0.30 or $0.65.
Let the number of trinkets is x she purchased for $0.30 and y for $0.65
Then x + y = 20 --------(1)
Since she spends total amount = $8.80
Then the equation will be
0.30x + 0.65y = 8.80 ---------(2)
We replace x = (20 - y) from equation (1) to equation (2)
0.30(20 - y) + 0.65y = 8.80
6 - 0.30y + 0.65y = 8.80
0.35y + 6 = 8.80
0.35y = 8.80 - 6
0.35y = 2.80
y =
y = 8
Now we put y = 8 in equation (1)
x + 8 = 20
x = 20 - 8
x = 12
Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.