Answer:
I think the right answer would be 7
Step-by-step explanation:
We got-ta use the equation: CA * BA = DA²
CA = 15 + BA
DA² = 8² = 64
=> (15 + BA) BA = 64
Subtract 15 from each side:
BA(BA) = 49
BA² = 49
Now take the square root of each side
BA = 7
Hope this helps!
The reason that would support that is ∠B ≅ ∠B , the reflective property of equality.
<h3>What are similar triangles?</h3>
Similar triangles are triangles that have their corresponding angles equal and the ratio of their corresponding lengths also equal.
Analysis:
triangle BDE and BAC share the same angle B
which means ∠DBE = ∠ABC.
The reflective property of equality says a number is always equal to itself. Therefore, ∠B ≅ ∠B
Learn more about similar triangles: brainly.com/question/2644832
#SPJ1
Okay so CBE is a right angle which equals 90 degrees. CBD and DBE makes up CBE which is 23 degrees is part of CBD. So subtract CBE from CBD to get DBE which is 67 degrees.
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
