1 42.5* and 3 95*, the sum of all the angles =360*, so Angle J = L and M=K, Angle 1 =M/2
Answer:
<4 = 88
<3 = 92
Step-by-step explanation:
The sum of the angles of a triangle is 180
<4 + 45+ 47 = 180
<4 + 92 = 180
< 4 = 180-92
<4 = 88
We know the <3 and <4 form a line
<3 + <4 = 180
<3 + 88 = 180
< 3 = 180-88
<3 = 92
Answer:
Step-by-step explanation:
Sleep Deprivation
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.
(a) Identify the sample used in the study.
(b) What is the sample's population?
(c) Which part of the study represents the descriptive branch of statitics?
(d) Make an inference based on the results of the study?
Solution
A. The samples used is the hours of sleep and math test scores of the volunteers
B. The samples population is hours of sleep and math test scores of people in general
C. The part of the study that represent the descriptive branch of statistics is "three times more likely"
D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.
Answer:
a = 102.05
b = 393.76
B = 93°
Step-by-step explanation:
The law of sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Since the sum of angles in a triangle is 180°, angle B must be ...
B = 180° -72° -15° = 93°
and the unknown sides must be ...
a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192
B = 93°
b = 375·sin(93°)/sin(72°) ≈ 393.75796
_____
The rounding requirement got cut out of your picture, so we can't help you with that.
