4 1/3, 4 1/2, 4 5/6, 5 1/6, 5 2/3, 5 6/6
Answer:
a) 10x - 14y = -4
Step-by-step explanation:
Two equations linear dependent if you can write one as a multiple of the other. It means that the equation that is a linear dependent with -5x+7y=2 is:
10x - 14y = -4
Because it can be written as:
-2(-5x+7y) = -2(2)
So, this equation is equivalent to -5x + 7y = 2
Steps:
1. Do a proportion
2/3 times x/12
2. Do 12 times 2=24
3. Divide 24 by 3
4. Your answer is 8 girls
Or you could do it this way
Steps:
1. You could have just multiplied the 2 by a 4 to get 8.12 boys divided by 3 boys is 4. That means you multiple the two by 4 to get the girls.
The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.
m∠E = m∠F
17x + 1 = 20x - 14
Subtract 20x from both sides.
-3x + 1 = -14
Subtract 1 from both sides.
-3x = -15
Divide both sides by -3.
x = 5
Substitute 5 for x in m∠F (20x - 14).
20(5) - 14 = 86
m∠F = 86°
