A triangle has side lengths of 4 inches, 5 inches, y + 1 inches. Another triangle has side lengths of 2 inches, x inches, 3 inches.
These two figures are the image and pre–image of a dilation.

x = 2.5.

y = 5.

Step-by-step explanation:

As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.

4/2 = 5/x

2 = 5/x

2x = 5

x = 2.5.

Also:

4/2 = (y + 1)/ 3

2 = (y + 1) / 3

y + 1 = 6

y = 5.

..

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~