Answer:
HL (hypotenuse leg)
Step-by-step explanation:
From the diagram, we have two sides that are congruent
The side QS is common to both triangles
Also, we have it that the side PS and QR are congruent
What this mean is that we have two sides that are already the same
Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles
Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another
15x + 30y = -10....reduce by dividing by 5
3x + 6y = -2...same as first equation...same line ..means infinite solutions
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
Read more about maximizing profits at:
brainly.com/question/13799721
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Answer:
The GCF of both is g^3
Step-by-step explanation:
Here, we are asked to give the greatest common factor of g^3 and g^15
In simpler terms we want to find that biggest term that could divide both values.
Mathematically, since g^3 is itself a factor of g^15, then we can conclude that the GCF of both is g^3
