Answer: Qualititative, Nominal and Categorical
Explanation:
The variable is qualitative since it does not involve numerical data (i.e. numbers). Rather we're dealing with names or labels.
Since names or labels are involved, and there isn't really inherent order to them, we consider this qualitative data to be nominal.
We can also consider it categorical since each label is a category.
So, first what we should do is divide 2,046 by 62 to find the width of Lucas's banner.
2,046 / 62 = 33 The width of Lucas's banner is 33 cm.
Which means if the width of Emily's banner is 3x that:
3 x 33 = 99 Emily's banner is 99 cm in width.
So, your 2 answers are: 99 cm, division and multiplication. ;)
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.
Hey there,
148 = 2x + 6(x + 10)
148 = 2x + 6x + 60
148 = 8x + 60
-60 - 60
88 = 8x
/8 /8
11 = x
6x + 4(-x - 14) = -42
6x -4x - 56 = -42
2x - 56 = -42
+ 56 + 56
2x = 14
/2 /2
x = 7
-101 = 7x -4(-3x - 8)
-101 = 7x + 12x + 32
-101 = 19x + 32
- 32 - 32
-133 = 19x
/19 /19
-7 = x
Hope I helped :)
~Char