I think the answer is 16 sorry if wrong
Answer:
Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°
Step-by-step explanation:
To Prove:
∠ 11 + ∠ 10 =180°
Proof:
Consider lines are Parallel,then
Corresponding Angles are Equal
∴ ∠ 10 = ∠ 12 say (equation 1)
Now by Linear Pair postulate we have,
∴ ∠ 11 + ∠ 12 = 180° say (equation 2)
Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get
∴ ∠ 11 + ∠ 10 = 180°
Hence proved the above statement.
Answer:
The first one
Step-by-step explanation:
We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
2 7/16
Step-by-step explanation:
multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.
