Answer:

Step-by-step explanation:
Given:
KL ║ NM ,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
Find: KN and KL
1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,
LM = 45
m∠M = 50°
So,

Also
(angles LNM and M are complementary).
2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
So,

and

Answer:
(0.84, 0.88)
Step-by-step explanation:
if you round 0.875 you get 0.88
Answer:

Step-by-step explanation:
Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;
5 x 4 = 20
If a color is selected at random the probability would be

our part is 5
our whole is 20
so the probability would be;
or
when reduced
Hope this helps!
Answer:
2x² +7x - 4
Step-by-step explanation:
(2x-1)(x+4)
2x² + 8x - x - 4
simplify:
2x² +7x - 4
Reduced ratio<span> of any </span>two<span> corresponding sides is called the scale factor of the similar </span>triangles<span>. </span>