A) Use the distance formula to find the length of each side, and then add the lengths.
Answer:
1) x = 19
2) x = 24 1/3
Step-by-step explanation:
1) there are 360 degrees in a 4-sided polygon
90 + 90 + 4x - 14 + 5x + 23 = 360
9x + 9 = 180
9x = 171
x = 19
2) there are 720 degrees in a 6-sided polygon
since this hexagon is 'regular' then all angles are equal and measure 120°
6x - 26 = 120
6x = 146
x = 24 1/3
3p - 2p - 5
collect like terms
(3-2)p - 5
calculate
1p - 5
the coefficient of 1 doesnt have to be writtent
Answer: p - 5
Answer:
2 students study none of the subjects.
Step-by-step explanation:
Consider the attached venn diagram. First, we place that 1 student studies the three subjects. Then, we notice that 3 students study math and science, then 2 students study math and science only, since we have 1 that studies the three subjects. In the same fashion, we have that 3 students study Math and computer programming only (since they are 4 in total). Note that since 7 students study math, and we already have 6 students in our count in the math subject this implies that 1 student studies only math (the total number of students inside the math circle must add to 7).
We also have that 4 students study science and computer programming only. Which implies that we must have 3 students that study science only (10 students that study science in total) and 2 students study computer programming (for a total of 10 students). The total number of students that study none is the total number of students (18) minus the amount of students that is inside the circles (16) which is 2.
Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.