<u>Answer:</u>
The correct answer option is B. 72°.
<u>Step-by-step explanation:</u>
A polygon is said to be a regular polygon when all its sides and angles are equal.
So a regular pentagon coincides with its pre-image when it is rotated at an angle of 72°.
When rotated at an angle of 72°, a regular pentagon produces the same pentagon regardless of being rotated clockwise or anticlockwise.
Therefore, option B is the right choice.
Answer:
1. x<3
2. x<3
Step-by-step explanation:
2x-5<1
Move constant to the right side and change its sign
2x<1+5
Add the Numbers
2x<6
Divide both sides of the inequality by 2
x<3
3x+7<16
Move constant to the right side and change its sign
3x<16-7
Subtract the numbers
3x<9
Divide both sides of the inequality by 3
x<3
Answer:
see explanation
Step-by-step explanation:
Factor the numerators/ denominators where possible
x² + 7x + 10 = (x+ 2)(x + 5)
x² - 3x - 18 = (x - 6)(x + 3)
x² + x - 2 = (x + 2)(x - 1)
Hence
= 
× 
Cancel the factors (x + 2) and (x + 3) on numerator/denominator
= 
← in simplest form
The denominator of the product cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 1 = 0 ⇒ x = 1 ← restricted value
