According to the Side Side Side postulate of congruent triangles, these triangles are congruent because each side is congruent to it’s corresponding side on the other triangle. When writing the congruence statement, you need to make sure that both triangles are read the same way so that one side corresponds to its congruent other side on the other triangle. One way to name these triangles would be HGK ≅ XWV
Step-by-step explanation:
supplementary angles.
Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>
The given parameters can be represented in the following tabular form:
Bracelet (x) Necklace (y) Total
Labor (hour) 0.5 0.75 40
Profit 10 18
From the above table, we have the following:
Objective function:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
Because she wants to make at least 30 bracelets, we have:
x >= 30
So, we have:
Max P = 10x + 18y
Subject to:
0.5x + 0.75y <= 40
x >= 30
Express x >= 30 as equation
x = 30
Substitute x = 30 in 0.5x + 0.75y <= 40
0.5 * 30 + 0.75y <= 40
This gives
15 + 0.75y <= 40
Subtract 15 from both sides
0.75y <= 30
Divide by 0.75
y <= 40
Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit
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Answer: 105 kilometers
Step-by-step explanation:
1 kilometer=1,000 meters
15,000 (meters a day) x 7 (days a week) = 105,000 meters.
Convert the meters to kilometers:
105,000/1,000 = 105 kilometers
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
