Number 1 would the last option, but I’m not sure about number 2
The general rule for 90° counterclockwise rotation about the origin is given by:
(x,y)→(-y,x)
thus given that S has coordinates of (5,4), then rotation through 90° will map the the figure on S'(-4,5). Hence the answer is:
C](-4,5)
The measurement of angle L = 50°.
Solution:
The given image is a rectangle.
The measurement of ∠A = 25°
The measurement of ∠B = 25°
ABC is a triangle.
Sum of the interior angles of the triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 25° + 25° + m∠C = 180°
⇒ 50° + m∠C = 180°
⇒ m∠C = 180° – 50°
⇒ m∠C = 130°
Sum of the adjacent angles in a straight line = 180°
⇒ m∠C + m∠L = 180°
⇒ 130° + m∠L = 180°
⇒ m∠L = 180° – 130°
⇒ m∠L = 50°
Hence the measurement of angle L = 50°.
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
All the exponents inside the parenthesis are multiplied by the exponent outside the parenthesis.
Then
÷ 
[ Using the rule 
= 
]
= 
÷ 
= 
÷ 
=
= 
= 
n²
= 
n² = 
, so x = 4 and y = 2
Then
= 
= 
= 
= 1 ← as required
