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:
24
Step-by-step explanation:
If she did all 3of them today then you subtract a day from each one then it would look like this
5+4+15=24
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
to find the hypotenuse (or the ramp in question 4) you can use the equation

with a and b being the 3 feet and 9 feet and c being the unknown (ramp).
So if you plug 3 and 9 into the equation, it looks like this.

then square them.

simplify.

take the square root of both sides.

is approx. 9.5 so the answer would be H.
= 19 this is the answer I'm guessing since 16-12= 4 so 16 is 4 more than 12