Answer:
Step-by-step explanation:
Parallel lines. A & B are corresponding angles and corresponding angles are equal.
∠A = ∠B
8x - 8 = 5x + 25
Add 8 to both sides
8x - 8 + 8 = 5x + 25 + 8
8x = 5x + 33
Subtract 5x from both sides
8x - 5x = 5x +33 - 5x
3x = 33
Divide both sides by 3
3x/3 = 33/3
x = 11
∠B = 5x + 25 = 5*11 + 25 = 55 +25 = 80
∠B = 80°
<u>youre incorrect</u>
the actual answer is 864 in²
the formula for area is l x w
or l x w x <em>h</em>
so, you do 9 x 6 x 16
and you get 864 in²
Given:
The expression is
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
It can be written as
Taking LCM, we get
The mixed fraction of this improper fraction is
So, the expression is equivalent to the given expression.
Therefore, the correct option is A.
5. arc length = radius x central angle in radians
arc length = 28 x 3π/4 = 21π
answer: (21π) cm
6. You are right. Quadrant 1 features points where both the x coordinate and the y coordinate are positive. Cosine and sine are basically special coordinates.
7. We need to find the tan(2π/3). The hint is quite bad I must say because you need to find the sine and cosine of an angle to find tangent. Okay, back to the problem.
tan(2π/3) = sin(2π/3)/cos(2π/3)
We know π/3 to be a special angle on the unit circle. It has a cosine of 1/2 and a sine of . Because we know this, its partner in quadrant 2 (2π/3) will have a cosine of -1/2 and a sine of .
tan(2π/3) = ÷ -1/2= -√3
answer: -√3
8. Both angles are special angles so...
2cos(π/6) - 2tan(π/3) = 2() - 2( ÷ 1/2) = √3 - 2√3 = -√3 (ok what a coincidence)
answer: -√3
The answer is 7/20. First, you subtract 2 1/4 and 1 2/5. You have to make a common denominator. The common denominator is 20. Now you have 2 5/20 - 1 8/20. You can't subtract 5 from 8 so you have to regroup. Now you have 1 25/20 - 1 8/20. You get 7/20