The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
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The number is 112
1. Three digits
2. Less than 140
3. 7 is a factor
4. Even
5. 1+1+2 = 4
Just matter of combining like terms
6x - 7 - 11x + x =
(6x + x - 11x) - 7 =
(7x - 11x) - 7 =
- 4x - 7 <===
<span>Because there are 20 coins plus four bars = 24 items to choose. You want to choose where to put the four bars, thus C(24,4). There are four bars, not five. Note that four bars divide the 20 coins into five sections. Five bars would divide it into six, but we only have five different kinds of coins to choose from.</span>
