Hello I hope this helps. I'm pretty sure this is the answer.
Part A: C
Part B: A
Since the triangles are congruent the angles given are the same. If we know triangles have 180 degrees total within their angles then 44 + 55 - 180 = 81 degrees. Z=81
Ans
Ste p-by-step explanation:
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Answer:
AB ≈ 2.8 units
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(1, 1) and (x₂, y₂ ) = B(3, 3)
AB = 
= 
= 
=
≈ 2.8 units ( to the nearest tenth )
The probability of one woman to have height less than 64.4 in is 0.6293
<u>Explanation:</u>
Given:
Mean, μ = 64.4
Standard deviation, δ = 1.8
Probability that the height of the woman is less than 65 inch = ?
So,
P(x < 65) = 65 - μ / δ

P (x < 65) = P( z < 0.33)
Finding the probability value from the z table we get:
P( z < 0.33) = 0.6293
Therefore, the probability of one woman to have height less than 64.4 in is 0.6293