Answer:
The ratio of boys to girls to 5:7
Let the number of boys be 5x
Let the number of girls be 7x
5x = 30
x = 6
Now just plug in 6 for the x in 7x
and number of girls 7 x 6 = 42
Answer:
B'(16,14)
Step-by-step explanation:
First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

Hence, B(8,7).
Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule
(x,y)→(2x,2y).
Thus,
B(8,7)→B'(16,14).
Answer:
True
Step-by-step explanation:
The size of the vertex cover is atleast twice the size of the maximum edge. Vertex must contain atleast one vertex from the matched edge. Vertex are never the strong dual solutions of each other.
Step-by-step explanation:
n/6+2=0
n/6+2/1=0
find the LCM=6
n+12/6=0
cross multiply
n+12=0
n=-12
Answer:
Step-by-step explanation:
Given:

To find 
Using trigonometric relations for sums and differences of squares of the ratios.
We know:

Plugging in
in the above relation.

Subtracting both sides by 0.75.


Taking square root both sides.

∴
(Answer)