Given: We have the given figure through which we can see
LK=16,
KJ=10,
LM=24,
MN=15
To Find: Whether KM || JN and the reasoning behind it.
Solution: Yes, KM || JN because 
Explanation:
For this solution, we use the concept of Similar Triangles.
Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Now, ∠MLK=∠NLJ
To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN
which is true as both sides simplify to 
Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Therefore, KM || JN.
To come to the reasoning, notice that
In other words,
Answer:
1.375
Step-by-step explanation:
2000 is 1000 times larger than 2
Answer:
(x + 2)² + (y - 1)² = 25
General Formulas and Concepts:
<u>Algebra I</u>
<u>Pre-Calc</u>
Circle Center Formula: (x - h)² + (y - k)² = r²
- <em>(h, k)</em> is center
- <em>r</em> is radius
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>(h, k)</em> = (-2, 1)
<em>r</em> = 5
<u>Step 2: Find Equation</u>
- Substitute in variables [Circle Center Formula]: (x - -2)² + (y - 1)² = 5²
- Simplify: (x + 2)² + (y - 1)² = 25
Topic: Pre-Calculus
Unit: Conics
Book: Pre-Calculus (McGraw Hill)
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20
8x - 4x = 20 - 4
4x = 16 divide both sides by 4
x = 4 and JM = 8x + 4 replace x with 4
8×4 + 4 = 36
