Answer:
x = 60
Step-by-step explanation:
The sum of exterior angles in a rectangle is equal to 360
so to find the value of x we need to use all given values and write an equation:
x + 2x + x + 2x = 360 add like terms
6x = 360 divide both sides by 6
x = 60
Answer:
The distance between A and B is 8.5 after rounded to the nearest tenth
Step-by-step explanation:
The formula you always use for distance between points is as pictured.
Point A is (-6, 4), this is x1 and y1
Point B is (2, 1), this is x2 and y2
(2-[-6])^2 + (1-4)^2
since 2 negatives make a positive, 2 - -6 = 8
1 - 4 = -3
This makes 8 squared and -3 squared
8x8 = 64
-3x-3 = 9
64 + 9 = 73
the square root of 73 = 8.544003745
After rounding to the nearest tenth, it is 8.5
I hope this helps you! Good luck :)
Answer:
3x(x2 + 4)
Then use the distributive property
SO the final answer would be: 3x^3 +12x
Step-by-step explanation:
Part a)
Identify the variable and categoriesBy reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)Set up and fill 2 way table.Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells
There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below