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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Multiply by z to get
wz = xy
divide by x
y = wz/x
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Step-by-step explanation:
a) 2/5 × 5/7 = 10/35 ➡ 2/7 (if needed to simplify)
b) 16/25 × 2/4 = 32/100 ➡ 8/25
c) 15/6 ÷ 3/15 ➡ 15/6 × 15/3 = 25/2
d) 4/11 × 12/9 = 16/33
e) 3/5 × 7/12 = 7/20
f) 9/27 × 2/6 ➡ 9/27 × 6/2 = 3
Answer:
what is the question lol
Step-by-step explanation:
