Answer:
A) $15
Step-by-step explanation:
let x represent the regular price of the mirror
so, 20% of x = 3
20/100 * x = 3
20x = 300
x = 300/20
x = 15
Hence, the regular price of the mirror is $15
Answer:
symmetric property
Step-by-step explanation:
with symmetric property if x=y then both values on either side of the equal sign will be equal
Step-by-step explanation:
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Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk