Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
Learn more about a parallelogram here:
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Just use pemdas
(Parenthesis, exponents, multiplication, division, addition, subtraction)
Answer:
The area of the base is 8pi and the radius is 2sqrt(2)
Step-by-step explanation:
Answer: Order will be F,D,C and Fourth Option is correct and x = 10
Step-by-step explanation:
Since we have given that
We first transpose the square root to the right , so it becomes square of 8,i.e.
Now, transpose 4 to the right so it will get subtract from 64 i.e.
Since 6 is multiplied to x on tranposing it will get divided by 60 i.e.
Hence, on simplification, we get x=10.
Hence , the order is F,D,C.
