Step-by-step explanation:
5x+52=9x+20
subtract 5x on both sides
subtract 20 on both sides
32=4x
divide by 4 on both sides
x=8
plug in x to the equations for A, D, and C
A and D are 92°
C is 56°
B and C will add up to 90, so
90-56=34°
13y-6=34
add 6 on both sides
13y=40
divide by 13
y=40/13 (I don't wanna calculate that)
Answer:
Dezias' pensil is 5.11-1.09=4.02 inches long
Paul's pencil is 4.02+2.05=6.07 inches long
Miguel's pencil is 5.11+1.75=6.86 inches long
Combined are 5.11+4.02+6.07+6.86=22.06
The fraction is 22.06/12=1.8383333...
Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function
in an interval from a to b is given by:

In this question:

Where x goes from 5 to 7.
This means that
. So


The rate of change is:

The average rate of change of the function in this interval is of 18.
First calculate

.

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ: