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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Answer:
549
Step-by-step explanation:
A calculator can give you an equivalent expression.
I might work from the middle outward:
= 486 -3 +33×2
= 483 +66
= (480 +60) + (3 +6)
= 540 + 9
= 549
Answer:
(2, -1)
Step-by-step explanation:
because that's where the lines intersect
Answer:
In y-intercept form: X = 5
Step-by-step explanation:
Becuz the slope is Undefined
Answer:
use a net to fin surface area of a prism by multyplying 10 to the power of 50
Step-by-step explanation:
