Hi there!!
First, we are going to find the improper fraction of each mixed number.
10 1/3 >>>>> 10*3+1=31 31/3
2 2/3 >>>>> 2*3+2=8. 8/3
5 1/3 >>>>>> 5*3+1 = 16. 16/3
TO find the reciprocal, we switch the numerator with the denominator.
31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16.
Your answer is:
3/31
3/8
3/16
Hope this helps! Let me know if you have any questions:)
Answer:
160
Step-by-step explanation:
Angle ABE is a 180 as ABE forms a line
so angle ABC + ANGLE CBE = 180
x + 20 = 180
x = 180-20
= 160
I hope im right!!
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation: