Step-by-step explanation:
b.
The sum of two opposite interior angles equals one exterior angle
111°=60°+‹G
‹G=111°-60°=51°
c.
We use the same property above
3x+4x+5=68°
7x=68-5
7x=63
x=63/7=9
‹D=4(9)+5
‹D=41°
Oooooooonnnnnneeeeeeeemmmmmmmmiiiiilllllllliiiiieeee
We are said that a rectangle has been transformed into the one indicated in Figure 1 according to this rule:

We know that the center of rotation is origin and two rules are applied to rotate a point 90 degrees, namely:
1. Clockwise
In this case, the rule to transform a point is:

This rule was already applied to form the image, so all we need to do is to reverse the answer using this formula, therefore:

2. Counterclockwise
Applying the same previous concept but with the new rules for this case:

By reversing the answer, we have:

Answer: There are 100 boys at the concert
Step-by-step explanation:
If the the ratio of boys to girls is 2:5 and and there are 250 girls then a number was multiplied by 5 to get 250 and that number needs to be multiply by 2 to find the number of boys.
So to find that number we will divide 250 by 5.
250/ 5 = 50
50 * 2 = 100