Angle side Angle
parallel lines cut by a transversal form alternate interior angles
parallel lines are congruent
opposite angles are congruent ( angle D and angle B)
line AB is congruent to line BC
It is (b-5)+6
hope this helps
Answer:
s = 6
Step-by-step explanation:
8(s+3) = 72
Expand the brackets out:
(8 x s) + (8 x 3) = 72
8s + 24 = 72
Now you get rid of 24 on the left, by taking away 24. But you also have to do the same on the right side so that both sides are equal:
8s + 24 = 72
left(-24) = right (-24)
So that leaves you with:
8s = 48
Now divide both sides by 8 to make them equal and to get s on its own:
8s = 72
left(/8) = right (/8)
Therfore:
s = 6
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
