Answer: proof below
<u>Step-by-step explanation:</u>
Use the Difference formula for sin:
sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)
sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)
= 0 · cos(θ) - -1 · sin(θ)
= 0 - -sin(θ)
= + sin(θ)
sin (180° - θ) = sin(θ) 
Answer: 94.5
Step-by-step explanation:
If average of 9 students is 94, their total will be 94x 9 = 846
If the 10th student scores 99, the new total is 846 + 99 = 945
So, the new average will be
945/10 = 94.5
Answer:
B.
Step-by-step explanation:
You have to use the number in the variable to figure out if the number multiplied by 3.5 goes over 20 dollars. The highest you can go without going over 20 dollars is 5 notebooks
Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent , then
7x - 27 = 3x + 29 ( subtract 3x from both sides )
4x - 27 = 29 ( add 27 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
