13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
_____
The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
Answer:
(4, 4)
Step-by-step explanation:
Coordinates of a point (x, y) after dilation with a scale factor k,
Rule to be followed,
(x, y) → k(x, y)
→ (kx, ky)
Coordinates of point T are (8, 8).
Dilation of the point T after dilation with a scale factor of
will be,
(8, 8) → 
→ (4, 4)
Therefore, coordinates of the image point B' will be (4, 4).
From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:
Now, since interior angles of any triangle add up to 180 degrees, we have

By combining similar terms, we get

Then, x is given as

Therefore, the answer is x=90 degrees
Answer:

Step-by-step explanation:
Given
See attachment for box
Required
The volume of the box
The number of boxes in each direction represents the length of that dimension.
So, from the attachment



The volume is:


