The answer is D. Cause and effect
A=2(LW+LH+WH)
A=2((7/8)(1/3)+(7/8)(2/5)+(1/3)(2/5))
A=2(7/24+14/40+2/15)
A=14/24+28/40+4/15
A=7/14+7/10+4/15 210
A=(105+147+56)/210
A=308/210
A=(210+98)/210
A=1 98/210
A=1 7/15
94/100 miles is the answer. I dont know what form you wanted the answer in but yeah.
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
