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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-3; -2 3/10; -2 2/5; -2 1/2
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Let's start with 17 seats and just bikes. That is 34 wheeles. Now, each bike we replace with a go-kart will add 2(because we take away 2 and add 4). We need to add 14 wheels. This means we will replace 7 bikes with go-karts. 7 go-karts (28 wheels) and 10 bikes (20 wheels) is the answer.
Answer:
it's 60 mm
Step-by-step explanation:
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