Answer:
Step-by-step explanation:
Probability:
Let
A (x1,y1)-------> (1,5)
B (x2,y2)------> (5,10)
C (x3,y3)------> (9,15)
D (x4,y4)------> (13,20)
find the slope
AB
m=(10-5)/(5-1)-----> m=5/4
find the slope
CB
m=(15-10)/(9-5)-----> m=5/4
find the slope
DC
m=(20-15)/(13-9)-----> m=5/4
so
<span>the relationship shown is linear
</span>
<span>to model the data with an equation find the equation of a line
</span>with m=5/4 and point A (1,5)
y-y1=m*(x-x1)-----> y-5=(5/4)*(x-1)----> y=1.25x-1.25+5-----> y=1.25x+3.75
the equation to model data isy=1.25x+3.75
see the attached figure
Angle 5= 46
Angle 7= 46 They are opposite, therefore, they measure the same.
If angle 2 is 134 degrees, so is angle 4.
They are parallel to each other, so angle 2 equals to angle 6, angle 4 equals to angle 8.
The sum of the four angles (5, 6, 7, & 8) is 360. The sum of the angle 2 (6) and angle 4 (8) is 268 (134x2).
360-268=92
92/2=46 Angles 5 and 7 are equal to each other, and their sum is 92, then you just need to divide 92 by two
I do not know about the signs next to 5 and 7, though. I hope this helped you
Gotcha.
We know Sean spent 15 more minutes than Faith.
So, we know this to be true:
Sean = 15 + Faith
We also know that Sean and Faith spent a TOTAL time of 55 minutes on homework.
So, we have this:
Sean + Faith = 55
We can solve for Faith's time spent in homework now since we have two equations.
Here are the two equations we have:
Sean = 15 + Faith
Sean + Faith = 55
To make solving for Faith easier, I'm going to rearrange the second equation to this:
55 = Sean + Faith
Now, we solve the problem.
Sean = 15 + Faith
55 = Sean + Faith
We know what Sean is, he is 15 + Faith.
So, we can plug in 15 + Faith into Sean in the second equation.
55 = 15 + Faith + Faith
Simplify:
55 = 15 + 2Faith
55 - 15 = 15 - 15 + 2Faith
(I subtracted 15 from both sides)
40 = 2Faith
Now, divide by 2 on both sides to get Faith's time.
40 ÷ 2 = 2Faith ÷ 2
20 = Faith
If you have any questions or comments then please post them. Otherwise, good luck, and I hope this was useful!
12 divided my 8 makes 1.5