X(A')=X(A)+4= -1+4=3
X(B')=X(B)+4= -1+4=3
X(C')=X(C)+4= 3+4=7
4 points to the right
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:
Step-by-step explanation:
D. the corresponding sides of triangle ABC and triangle A'B'C' are congruent
because the sides do not change their length when we rotate the triangle
Answer: Width = 3cm
Length = 8cm
Step-by-step explanation:
Length = x+5 cm
Width = xcm
Area = 24cm²
Area of a rectangle = length × width
x × (x + 5) = 24
x² + 5x = 24
x² + 5x - 24 = 0
x² + 8x - 3x - 24 = 0
x(x + 8) - 3(x + 8) = 0
x - 3 = 0
x = 3
Width = 3cm
Since length = x + 5 = 3 + 5 = 8cm
Length = 8cm