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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I think The answer is 22.5
HEYYYYYYYYYYYYYYYYY BAHSJJSIS
The probability of no boys being chosen will be 0.29.
<h3>What is probability?</h3>
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.
Two students must be selected at random to be in the fall play.
Then the probability of no boys being chosen will be
Total event = ²²C₂ = 231
Favorable event = ¹²C₂ = 66
Then the probability will be
P = 66 / 231
P = 0.2857
P ≅ 0.29
More about the probability link is given below.
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The answer selected is the correct answer because all of the other ones are equivalent to each other.
