Answer:△JKL∼△STU
When two triangles are similar , then their corresponding sides are proportional and Corresponding angles of one triangle is equal to corresponding angles of another Triangle.
The two Triangles can be similar by following Similarity axiom
Step-by-step explanation:
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:
there is no solution
Step-by-step explanation:
y + 7 = 3x
6x - 2y = 6 which can be simplied to be 3x - y = 6 (divide by 2)
let y = 3x - 7
substitute: 3x -(3x - 7) = 6
3x - 3x + 7 = 6
7 ≠ 6 therefore, no solution
Answer:
x = 12
Step-by-step explanation:
Remark
These two angles are corresponding angles and as such, they are equal.
Equation
8x+ 36 = 5x + 72
Solution
Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 72 Combine like terms.
3x + 36 = 72 Subtract 36 from both sides
3x + 36 - 36 = 72 - 36 Collect like terms
3x = 36 Divide by 3
3x/3 = 36/3 Divide
x = 12 Answer
