The answer to your question is (1,3) because I graphed it that is where they intersected at. I hope this helps.
M<2 and M<6 are corresponding angles, that means they have the same degree. M<6 and M<5 are supplementary angles, that means they have together a sum of 180. So all you need to do is 180 - 68 = 112. D is the answer.
Hope this helps :)
1. use the equation y -y1 = m(x-x1)
2. (-6,-4) is x1,y1 and (4,-6) is x2,y2
3. y-(-4) = m(x-(-6)
m is the gradient, 10/10, which is 1. make two negatives into a positive.
4. y+4 = x+6
therefore the equation of the lines is y = x+2
substitute the points back into the equation to double check.
Answer:
6.32 feets
Step-by-step explanation:
Given that:
Height of ramp = 2 feets
Length of base = 6 feets
Length of ramp = l
Using Pythagoras rule :
Hypotenus = sqrt(opposite² + adjacent²)
Length of ramp = sqrt(height of ramp² + length of base²)
l = sqrt(2² + 6²)
l = sqrt(4 + 36)
l = sqrt(40)
l = 6.3245
Length of ramp = 6.32 feets