Angle a is congurent to angle e, so 60+8x=108
same with c and g.
so 8y-3x=62
just plug in x for there (6)
so 8y-24=62
then 8y=88
y=11
PASS IS INTERCEPTED AT THE GOAL LINE BY MALCOLM BUTLER
Remark
If the lines are parallel, there are no solutions to the system of equations. Start with the equation you know the most about.
x + 6y = 7 Subtract x from both sides
x - x + 6y = 7 - x Combine
6y = - x + 7 Switch and divide by 6
y = -x / 6 + 7/6
The general equation for a line is y = mx + b where m is the slope of the line.
m = - 1/6
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Now look at the second equation
10ay - 5x = 32 Add 5x to both sides
10ay = 5x + 32 Divide by 10a
y = (5/10a)x + 32/(10a)
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Now you must make
5/10a = - 1/6 Cross Multiply
5* 6 = - 10a * 1
30 = - 10a Divide by - 10
a = 30 / - 10
a = - 3
So these two equations will have no solution when a = - 3
Area of the figure shaded in yellow = 2 x 3 + 2 x 6 = 18 cm²
Total Surface Area = 18 + 18 + (4 + 3 + 2 + 3 + 2 + 6) x 3 = 96 cm²
Answer: 96 cm²
