Parallel lines are in the same plane, never intersect, and have the same slope.
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
#8: $900. (I found this answer by multiplying 3000 and 0.3 by the way)
#9: 160 miles. I found this answer by multiplying 80 by two, since two halves/50% make a whole or 100%.
Your answer is Y= 2x (a) + 4 (e)
The y intercept is 4 and the slope is 2
Solve for r using factoring:
Solve for r:
r^2 - 8 r - 33 = 0
The left hand side factors into a product with two terms:
(r - 11) (r + 3) = 0
Split into two equations:
r - 11 = 0 or r + 3 = 0
Add 11 to both sides:
r = 11 or r + 3 = 0
Subtract 3 from both sides:
Answer: r = 11 or r = -3
