Answer:perimeter of isoceles rectangle
=2 ×length × base
Step-by-step explanation:
2(3x-3)+x=92 , 6x-6+x=92 ,7x-6=92 ,x =14 then the base x=14 cm
Answer:
Step-by-step explanation:
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = variable
µ = mean output
σ = standard deviation
From the information given,
µ = 14
σ = 3
1) P(x < 20)
For x = 20,
z = (20 - 14)/3 = 2
From the normal distribution table, the corresponding probability value is 0.98
% = 0.98 × 100 = 98%
2) P(11 ≤ x ≤ 17)
For x = 11,
z = (11 - 14)/3 = - 1
From the normal distribution table, the corresponding probability value is 0.16
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(11 ≤ x ≤ 17) = 0.84 - 0.16 = 0.68
% = 0.68 × 100 = 68%
3) P(x > 14) = 1 - P(x ≤ 14)
For x = 14,
z = (14 - 14)/3 = 0
From the normal distribution table, the corresponding probability value is 0.5
P(x > 14) = 1 - 0.5 = 0.5
% = 0.5 × 100 = 50%
4) P(5 ≤ x ≤ 17)
For x = 5,
z = (5 - 14)/3 = - 3
From the normal distribution table, the corresponding probability value is 0.00135
For x = 17,
z = (17 - 14)/3 = 1
From the normal distribution table, the corresponding probability value is 0.84
P(5 ≤ x ≤ 17) = 0.84 - 0.00135 = 0.839
% = 0.839 × 100 = 83.9%
Answer:
∠A and ∠G is the pair of vertical angles.
Step-by-step explanation:
From the figure attached,
Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.
Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."
Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.
From the given options,
∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.
The formula for A = Ao (1/2) ^ t/h
So sub in.
100 = 800 (1/2) ^ 639,000/?
That's all i can do lol
