Answer:
x= -1.5, y= -1
Step-by-step explanation:
6x= -5+4y
x= (-5+4y) / 6
4((-5+4y) / 6) + 5y = -11
4(-5+4y) + 5*6y = -11*6
-20+16y+30y= -66
16y + 30y = -66+20 = -46
y(16 + 30) = -46
y= -46 / (16 + 30)
y= -46 / 46
y= -1
x= (-5+4(-1)) / 6
x= (-5-4) / 6
x= -9 /6
x= -1.5
Angles 1 and 3, angles 2 and 4, angles 5 and 7, and angles 6 and 8. They are also congruent, because vertical angles are congruent.
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17
To find her speed, divide the total distance by the total time:
12.5 miles / 5 hours = 2.5 miles per hour.
Answer:
x=-3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.