Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.
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Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.
Answer:
a = 9
Step-by-step explanation:
Let's make the demoninators of the 2 fractions the same :
(2a+8)/10 - (5a +15)/10 = 5
(2a + 8 - 5a + 15)/10 = 5
=> -3a + 23 = 50
=> -3a = 27
=> a = 9
Smaller leg = x
longer leg = y
hypotenuse = z
y=x+7
z=x+8
due to
but x cannot be -3
so smaller leg is 5 inches
then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
I hope this helps you
tgH=HJ/HK
angle H+angle K=90
H=K=45 degree
sin45=cos46 = square root of 2/2
