They were all right except for:
angle G is a right angle
3. Is an obtuse
4. is an acute
(I couldn't see #7)
and the answer for the last question is the equilateral in the middle
Let
be the most the manager can pay the suppliers.
Then, we know from the information given in the question that the manager needs a 30% markup based on cost.
Therefore, the guiding equation will be:

because $10 is the most people will pay for a neck warmer.
Thus, the above equation will become:




Thus, the most a manager can pay the suppliers for neck warmers and still keep the selling price at $10 is $7.69
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<u>N-FACTORIAL!</u></h2>
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Therefore, <u>the value of 6! is 720</u>.
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<h3>

</h3>

Therefore, <u>the value of the given expression is 12.</u>
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<h3>
<u>EXPLANATION</u><u>:</u></h3>
- The mathematical symbol n! is read as "n factorial". The exclamation point "!" is read as factorial. And please remember or take note that 0! is equal to 1, and 1! is also equal to 1.
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4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.
4 + a = b
a + b = c
b + c = d
c + d = 67
let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b
If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
4 + 3c = 2d
then we have c + d = 67 so c = 67 - d
4 + 3(67 - d) = 2d
4 + 201 - 3d = 2d
205 = 5d
d = 41
Should be easy now, subtract backwards.
67 - 41 = 26
41 - 26 = 15
26 - 15 = 11
15 - 11 = 4
4, 11, 15, 26, 41, 67