Answer:
The number of boys last year will be 50 boys
Step-by-step explanation:
330 members with 240 adults
The number of children will be;
330-240 = 90
2/3 of 90 are boys
= 2/3 * 90 = 60 boys
Number of girls is 90-60 = 30
Ratio of adults:boys:girls
= 240:60:30
divide through by 30
= 8:2:1
b) A year ago, there were 200 adults but the ratio still remains same
Let the number of girls be x, the number of boys will be 2x
Thus, total number is 200 + x + 2x = 200 + 3x
Total ratio is 8 + 2 + 1 = 11
mathematically;
8/11 * (200 + 3x) = 200
8(200 + 3x) = 11(200)
1600 + 24x = 2200
24x = 2200-1600
24x = 600
x = 600/24
x = 25
So the number of boys will be 25 * 2 = 50
Answer:
y= -5
Step-by-step explanation:
The given polygons are similar
Step-by-step explanation:
By observing the given diagrams, we can see that the respective angles are congruent.
Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.
For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar
So,
The scale factor is:

We can see that the scale factor is same for all sides.
Hence,
The given polygons are similar
Keywords: Polygons, similarity
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