Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
Answer:
<em>Parallel slopes</em>: two lines that has the same slopes but have different y-intercept
<em>Perpendicular slope</em>: two lines that are negative reciprocals(common) of each other
0% chance if the max number is a 6