Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:

We know that

,

, and

, so lets replace those values in our proportion:




We can conclude that the length of the segment
HG is 9.
Answer:
WX=36
Step-by-step explanation:
2x+16=7x-29
45=5x
x=9
7x-29
7(9)-29
65-29
36
16 is a rational number, this is because it is a full whole number, it can be a fraction or a ratio, for this reason we know 16 has to be rational
Answer:
-2, 5.5
The best way to do this is to draw a graph.
Step-by-step explanation:
4x²-64
(2x)²-(8)²
a²-b²=(a+b)(a-b)
=(2x+8)(2x-8)
Therefore, the factors are -4 and 4.