The number of books that can be shelved is 45. So then we know that the amount that need to be shelved <em>can</em> be 45, if the bookshelf had 0 books on it. This means that it can have the equal part of the inequality sign.
However, the amount of book that need to be shelved cannot <em>exceed</em> 45, so b must be less than 45.
Therefore, the answer must be D) b ≤ 45.
Answer:
56 degrees
Step-by-step explanation:
Because DF is a line that makes it 180 degrees we know that the other two angles on that line are are 60 and 64 now we can make an equation:
60 + 64 + x = 180
124 + x = 180
Subtract 124:
x = 56
The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
the sequence is in multiples of 4 (2*4=8, 8*4=32, 32*4=128)
so 128*4=512, 512*4=2048, 2048*4=8192 & 8192*4=32768
2+8+32+128+512+2048+8192+32768=43690