Two triangles are similar if and only if all corresponding angles are equal (congruence), even if the corresponding sides are equal or not, therefore the answer is true because ΔJKL and ΔRST are similar and the statement above demands that "it must be", namely, this is a sufficient condition.
Answer:
Cost of the coat = $54
Step-by-step explanation:
Given:
She saved = $ 9
To Find:
Cost of the coat = ?
Solution:
Let the price of coat be x
She saved $9
and according to given condition it is 1/6 of the total money she needs for buying coat
by this we have

Multiplying both sides by 6

it becomes
x = 9*6
x = $54
As x is the amount she needs
so
Cost of the coat = $54
For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.
Soft winds will blow from area b to area a