Let's assume
number of birds with 2 wings is x
number of birds with 4 wings is y
A nature museum has 2008 specimens of early birds
so,
Total of wings of 2 wings bird =2x
Total of wings of 4 wings bird =4y
The specimens have a total of 4384 wings
so, we get
we can divide both sides by 2
so, we get system of equations as
we can solve for x and y
We can subtract both equations
so,
number of birds with 2 wings is 1824
number of birds with 4 wings is 184.............Answer
Answer:
Option (1)
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
Step-by-step explanation:
The rest of the question is the attached figure (1).
The statement options are:
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
2) Segment B'D' will run through (2, 2) and will be longer than segment BD.
3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.
4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.
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See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'
As shown:
The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).
Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2).
So,
The quadrilateral A'B'C'D' will be with vertices:
A'= (1.5,2), B'= (2,2.5), C'= (3,2), D'= (2,1.5)
Comparing the options with the figure (2):
So, the answer is option (1)
1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.
