Answer:
∠b + ∠c + ∠e = 120°
Step-by-step explanation:
From the attached figure,
∠b + ∠e + ∠a = 180° (Linear pair)
Given that, ∠a = 90°
∠b + ∠e = 90° ...(1)
Also,
∠c + ∠d = 180° (Linear pair)
Given that,
∠d = 150°
∠c = 180°-150°
= 30°
Adding ∠c to both sides of the equation (1).
∠b + ∠e + ∠c= 90° + ∠c
∠b + ∠c + ∠e = 90° + 30°
= 120°
Hence, the meaure of ∠b + ∠c + ∠e is equal to 120°
Answer:
Andy is incorrect
Step-by-step explanation:
[See attachment for complete question]
Andy is incorrect because of the following.
Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.
For instance, if the expression is completed as thus:
(5x⁴ + 4x³)(4x^(2.7981) - 6) = A
This expression is not a polynomial because all powers of x must be non negative and it must be an integer.
So, Andy's statement is incorrect
Answer:
(a) 3x -y = 7
(b) x +3y = 29
Step-by-step explanation:
(a) The standard form of the given line is ...
3x -y = 5
The parallel line will have a constant on the right that makes it go through (5, 8), so it will be ...
3x -y = 3(5) -(8)
3x -y = 7
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(b) The perpendicular line will have coefficients for x and y swapped and one of them negated. Again, the constant is chosen to make it go through (5, 8).
x + 3y = (5) +3(8)
x + 3y = 29