M < 2 and m < 3 are supplementary angles which add up to 180 degrees.
< 2 + < 3 = 180
3x + 17 + 5x - 21 = 180
8x - 4 = 180
8x = 180 + 4
8x = 184
x = 184/8
x = 23
m < 2 = 3x + 17 = 3(23) + 17 = 69 + 17 = 86 degrees
m < 3 = 5x - 21 = 5(23) - 21 = 115 - 21 = 94 degrees
m < 1 and m < 2 are corresponding angles....they are equal.
so m < 1 = 86 degrees <===
Answer:
No because one is negative and the other one is positive
Step-by-step explanation:
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:


+

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We substitute the value of B into one of the two equations and solve for A.


The maximum value attained by the function will be 4
4 = 4cos(2x - π)
cos(2x - π) = 1
2x - π = 0
x = (nπ)/2
From x = 0 to x = 2π, n = 1, 2, etc
The equation will yield +4 for odd values of n and -4 for even values of n