Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
Angle 4 is an exterior angle of the triangle.
Angles 1 and 2 are the remote interior angles of angle 4.
m<4 = m<1 + m<2
m<4 = 30 deg + 110 deg
m<4 = 140 deg
360 /12 = 30
Each 5 minutes is 30 degrees
2*pi/12 = pi/6
each 5 minutes is pi/6 degrees
pi/3 = 2*pi/6 = 2 * pi/6 = 2* 5 minute = 10 minutes
the minute hand moves from 4 to 6
2 * pi/3 = 2 * (2*pi/6) = 4 *(pi/6) = 4 * 5 minutes = 20 minutes
The minute hand moves from 3 to 7
5 * pi/6 = 5 * 5 minutes = 25 minutes
the minute hand moves from 5 to 10
7 * pi/6 = 7 * 5 minutes = 35 minutes
the minute hand moves from 2 to 9
Slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept
Answer:
12 cakes
Step-by-step explanation:
If alice decorates 8 cakes in five hours they just multiplied the amount by 2 so you just need to multiply 6 by 2 and you will have the awnser of 12 cakes!