Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.
2 answers:
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Answer:
(a) sin(x) + cos(x)
(b) sin(x) + cos(x)
(c) Both answers are equivalent
Step-by-step explanation:
(a) The given function is:
According to the quotient rule:
Applying the quotient rule:
This can be simplified to:
(b) Simplifying in terms of sin(x) and cos(x):
(c) As proven above, both answers are equivalent.
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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