Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
Answer:
22
Step-by-step explanation:
To solve this we can plug the values in.
-2x-3y+z
-2(4)-3(-7)+(9)
Simplify.
-8+21+9
Add.
22
I don’t know if you can see this but I hope it does if u don’t understand let me know so I can explain!
Answer:
The student is expected to spend <em>15.4 hours </em>doing homework
Step-by-step explanation:
The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below
To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)
The equation of a line, given two points (a,b) and (c,d) is
Using the selected points
Simplifying and computing results, the equation is
Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV
=15.4 hours
So the student is expected to spend 15.4 hours doing homework
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
Then subtract 3 from both sides of the equation.
The divide both sides by 2.
Another solution is possible because of the absolute value.
If
Then
<em>Thus we can solve the second solution:</em>
Isolate P again by subtracting both sides by 3
Then divide both sides by 2: