Explanation is in the file
tinyurl.com/wpazsebu
The answer is no, the side lengths are not persevered. <span />
Answer:
<b= 36 degrees, <c= 144 degrees
Step-by-step explanation:
144 and b are supplementary meaning they add up to 180.
144 and c are vertical angles meaning they are congruent.
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 :)
3x+4=52
-4 -4
3x=48
divide by 3 on both sides
x=16
