The only thing you need to do is 'cross-multiply'
Take the top of fraction 1 and multiply it to the bottom of fraction 2, and take the bottom of fraction 1 and multiply it to the top of fraction 2.
Then you will get a nice and easy equation to solve!
The smallest angle would be 19 degrees. So option D is correct.
<h3>What is the sum of the octagon?</h3>
The sum of exterior angles of the regular octagon is 360 degrees.
Given;
The angles
x + 13 + 2x - 1 + 2x + 6 + 2x + 12 + 2x - 17 + 3x - 4 + 3x - 10 + 4x = 360
19x - 1 = 360
19x = 359
x = 18.89
The smallest angle would be
2x - 17 = 2(18.89) - 17 = 19
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Based on the shape shown on the graph, the reflection of the shape would be b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
<h3>What shape is the reflection?</h3>
The coordinate grid that the shape would be reflected across is the y axis to get a reflection in the negative side of the x axis.
The first reflection would be of the point that is (2,2). It would be reflected to become (-2, 2).
The second reflection would be of point (2, 6) which would then be reflected to become (-2, 6).
Finally the third point would be of point (4, 2) which would then become (-4, 2).
In conclusion, the reflection was across the y axis.
Options include:
- a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.
- b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.
- c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.
- d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.
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-1.25............................
Answer:
(4,1)
Step-by-step explanation:
point b is at (-1, 4) and the rule for 90 degree clockwise rotations is (y, -x) so it's (4, 1)