Answer:

Step-by-step explanation:
Given:
KL ║ NM,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
To determine: KN and KL
1. Analyzing triangle NLM, we see it is a right triangle due to NL ⊥ LM. In this context,
LM = 45
m∠M = 50°
Consequently,

It is also true that
(angles LNM and M are complementary).
2. Now considering triangle NKL, it also forms a right triangle as KN ⊥ NM. Within this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
Thus,

and

Answer:
Please refer to the explanation
Step-by-step explanation:
Given that:
Sarah, Jose, and you all reside on the same street:
The distance between you and Jose is 5 blocks
The distance between Jose and Sarah is 2 blocks
Calculating the distance (b) between you and Sarah:
Since it is not specified if Sarah is closer to you or to Jose;
Thus;
Distance b from you to Sarah will be:
(The distance to Jose ± the distance to Sarah)
b = (5 ± 2)
b = (5 + 2) or (5 - 2)
b = 7 blocks or 3 blocks
The initial height of the candle is 14.8 inches.
For the blue marbles:
16 = 8 * 2 (8 sets containing 2 marbles each)
For the white marbles:
8 = 4 * 2 (4 sets with 2 in each)
8 + 4 = 12
Answer:
The maximum number of groups that Colton can form is 12.
To create a recursive formula, start by identifying if the sequence is geometric (for example, if the same number is being multiplied or divided for one term or more). After that, determine the common ratio (the specific number used for multiplication or division).