108 you don't need the distributive property.
Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Answer:
(a)High school students in the United States.
(b)100 Students
(c)Statistic
Step-by-step explanation:
(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.
(b)It is most often improbable to carry out research on an entire population of study. A <u>sample is taken to represent the population</u> and the results obtained from the sample are assumed to hold for the entire population.
In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.
(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.
Note: If the data were obtained from the entire population, it would be a <u>parameter.</u>