Answer:
Two straight lines with slopes m and m' are parallel when m = m'
Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.
Step-by-step explanation:
Let us assume that the two non-vertical lines in the slope-intercept form are
y = mx + c ........... (1) and
y = m'x + c' ............ (2)
If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'
Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)
Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.
HJ = (KL + NM)/2
2(HJ) = KL + nm
2(5x + 2) = 4x + 1 + 27
10x + 4 = 4x + 28
6x = 24
x = 4
KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17
Answer: KL = 17
Answer:D= 60miles
Step-by-step explanation:
Speed=distance/time
Distance = speed× time
D=(45-30)× 4
D= 15×4
D= 60miles
Answer:
x ≈ 30.9 (Choice D)
Step-by-step explanation:
We can use cosine for solving this question:
cos (61°) = 15 / x
x = 15 / cos (61°)
x = 30.93998011
x ≈ 30.9 (Choice D)
