Answer:
<em>a = </em>60°
<em>b </em>=<em> </em>120°
Step-by-step explanation:
First, you can find measure <em>a </em>by using the first shape. There are six rhombuses, and you can use the innermost <em>a </em>of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the <em>a</em> measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for <em>b</em>, you would divide 240 by two. The answer is 120.
To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!
Answer:
Step-by-step explanation:
Given
Required
Determine Y'
Y' can be solved by multiplying the scale factor by Y
i.e.
For, the x coordinates.
Where
For the y coordinates:
Where
Hence:
140 degrees because an angle of a circle is 360 degrees and you can subtract these angles from it to get 140 degrees
You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes
If you want, you can simplify it by expanding the square and then multiply the two parenthesis:
