THis is a cool question.
1) Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2) Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
3) Then do the same thing for the other two points that form a chord on the circle.
4) Then set the two equations equal to each other and solve. The point where they meet is the circumcenter.
Answer:
width is 8 length is 4
Step-by-step explanation:
4*8 is 32
8-4=4
Answer:
Part 1: 31x+25=180
part 2: x=5
Step-by-step explanation:
there are 180° on a straight line, which is the base/ bottom line of the traingle (indicated by the arrow on the end).
so, 180-151= 29
29° is the third angle on the traingle.
now, there are 180° in a triangle, therefore to find an equation for x:
29+20x-3+11x-1= 180 (adding up all the angles and making it equal to 180°)
now simplify this equation to get:
31x+25=180 (PART 1)
to find x simply solve the equation:
31x=180-25
31x= 155
x= 155/31
x=5 (PART 2)
Step-by-step explanation:
There isn't any equation given, so there isn't anything to do here
You can't write expanded form in three ways, but you can write that number in expanded form AND two other ways, one you just listed.
Word: thirty seven thousand, nine hundred seventeen thousand, five hundred forty five
Expanded: 30,000,000 + 7,000,000 + 900,000, 10,000 + 7,000 + 500 + 40 + 5
Standard: 37,917,545