Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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Step-by-step explanation:






Taking sin²θ common in both numerator & denominator, We get :










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The total amount that was spent is $6099
<h3>How to determine the total amount that was spent?</h3>
The given parameters are
Number of kids = 99
Pass = $56 per kid
Arcade game = $555
The total amount that was spent is calculated as
Total = Number of kids * Pass + Arcade game
So, we have
Total = 99 * 56 + 555
Evaluate the expression
Total = 6099
Hence, the total amount that was spent is $6099
Read more about expressions at
brainly.com/question/723406
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