The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.
The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.
The measure of the angle formed by 2 chords that intersect inside the circle is 1/2<span> the sum of the chords' intercepted arcs.
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(83 + x)/2 = 107
83 + x = 107 * 2
83 + x = 214
x = 214 - 83
x = 131°
the slope of the line is y = -1/2x -2
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Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
Using equivalent angles, the solutions are given as follows:
a) 
.
b) 
.
c) 
<h3>What are equivalent angles?</h3>
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
For item a, we have to find the equivalent angle on the 2nd quadrant, where the sine is also positive.
Hence:
Hence .
For item b, if two angles are complementary, the sine of one is the cosine of the other.
Complementary angles add to 90º = 0.5pi, hence:
The equivalent angle on the second quadrant is:
Hence the solutions are:
For item c, the angles are also complementary, hence:
The tangent is also positive on the third quadrant, hence the equivalent angle is:
Hence the solutions are:
More can be learned about equivalent angles at brainly.com/question/28163477
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