Answer:
1029
Step-by-step explanation:
Volume=
x
x height =
x
x 21 = 1029
I hope it helps you!
The randomly selected subject is given bone density test which are normally distributed with mean =0 and standard deviation =1. It means bone density test score is standard normal variable.
The probability that a given score is less than 2.23
P(z < 2.23)
Using z score table to find probability below z=2.23
P(z < 2.23) = 0.9871
The probability that a given score is less than 2.23 is 0.9871
Answer:
(a) 180°
(b) 180°
(c) substitution property
(d) m∠3
(e) ∠3
Step-by-step explanation:
Definition: Two angles are supplementary if they add up to 180°
Proof:
By definition of supplementary angles, m∠1 + m∠2 = 180° (a) {∠1 and ∠2 are supplementary - given}
and m∠2 + m∠3 = 180° (b) {∠2 and ∠3 are supplementary - given}
Then, m∠1 + m∠2 = m∠2 + m∠3 by the substitution property (c)
Subtract m∠2 from each side. You get m∠1 = m∠3 (d)
or ∠1 ≅ ∠3 (e)
Answer:
A: Yes: triangle DBC is a dilated figure of DEF so their sides would be congruent is scaled to equality. Similar implies that the two triangles could be equal if you use transformations (translation, reflection, etc) and a dilation is a form of translation
B: BC; each of the sides are scaled and looking at the two triangles it is a) easy to physically determine that they are the same and b) their placements within the triangle indicate their alignment
C: C; Once again physicality and placement indicate the alignment of the two and both of them are 90 degrees
Step-by-step explanation: