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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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Answer:
d)
Step-by-step explanation:
Which algebraic expression is a polynomial?
Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
a) is not a polynomial because dividing by an exponent is not allowed.
b) , is not a polynomial because exponent radicals are not allowed (√m)
c) is not a polynomial because dividing by an exponent is not allowed.
d) is a polynomial