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abelxoconda
22.06.2019 •
Mathematics
Suppose medical records indicate that the length of newborn babies (in inches) is normally distributed with a mean of 20 and a standard deviation of 2.6. find the probability that a given infant is between 14.8 and 25.2 inches long.
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Ответ:
ST is 12 meters
Step-by-step explanation:
The given triangle ΔRST = An equilateral triangle
The altitude of ΔRST = SV
The length of segment RV = 6 meters
Given that ΔRST is an equilateral triangle, the base angles of the triangles = 60°, therefore, in the formed triangles, ΔRSV, and ΔTSV, ∠RSV = ∠TSV = 90° - 60° = 30°
∴ ΔRSV, and ΔTSV are congruent, based on ASA rule of congruency
∴ Side VT in ΔTSV is congruent to side RV in triangle ΔRSV
The midpoint of side ST
VT ≅ RV
Therefore, VT = RV = 6 meters
RT = RV + VT = 6 + 6 = 12 By segment addition property
In equilateral triangle, ΔRST, all the sides are equal, therefore;
RT = RS = ST = 12 m
ST = 12 meters.