Answer:
x=6
Step-by-step explanation:
81^x=27^(x+2)
3^4x=3^3(x+2)
4x=3(x+2)
4x=3x+6
x=6
Probability of 2 sets going to tie-breaker = 0.19*0.19 = 0.0361
there are 3 ways that 2 out of 3 sets are tiebreakers
so required probability = 3 * 0.0361 = 0.1083
= 10.83%
Answer:
∠ ZWV = 39°, ∠ ZVW = 64° , x = 1
Step-by-step explanation:
∠ ZWV = ∠ ZYX = 39° ( alternate angles )
∠ ZVW = ∠ ZXY = 64° ( alternate angles )
The diagonals bisect each other , so
YZ = ZW
3x + 2 = 5 ( subtract 2 from eavh sides )
3x = 3 ( divide both sides by 3 )
x = 1
<span>The question aks us to determine which statement is always true about the angles in the figure. If angle A and B form a right angle, then C must be also a right angle, which is not correct. Also if A and C form a right angle, then angle B must be a right angle. So answers A and C are false. Also thet we know that the sum of the interior angles of the triangle is 180 degrees. A + B + C = 180 deg. ( or a straight angle ). Answer: B. Angle A, angle B, and angle C, form a straight angle. </span>
