Answer:
Step-by-step explanation:
#1. For lines l and m to be parallel, angles 3 and 6 would have to add up to equal 180. This is the Same Side Interior Angle Theorem.
For #2, angles 3 and 7 are corresponding, meaning they are in the same place in both angle groups. Because of this, they are congruent. That means that they equal one another.
If angle 3 is 4x + 12 and x = 15, then angle 3 = 72.
If angle 7 is 80 - x and x = 15, then angle 7 = 65. So if this is the case, the lines l and m are not parallel. In order for them to be parallel, angle 3 has to equal angle 7:
4x + 12 = 80 - x and we solve for the value of x that will make the lines parallel:
5x = 68 so
x = 13.6
Open circle on 4 and shaded to the left is the correct characteristics of the graph of 
Option C is correct.
Step-by-step explanation:
We need to identify the characteristics of the graph of
The graph will contain all values that are less than 4.
4 is not included in the graph because we have less than sign and not less than equal to. So, an open circle will appear on 4.
All values less than 4 are on the left of 4, so shaded to the left of the graph.
The graph of is attached in the figure below.
So, open circle on 4 and shaded to the left is the correct characteristics of the graph of
Option C is correct.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
Answer:
Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .
Step-by-step explanation:
We have, f(x) = 2x² and g(x) = x+1
Now, f(g(x)) = g(f(x))
⇒ <em>2(x+1)² = 2x² + 1</em>
<em>⇒ 2( x² + 2x + 1 ) = 2x² + 1</em>
<em>⇒ 2x² + 4x + 2 = 2x² + 1</em>
<em>⇒ 4x = -1</em>
<em>⇒ </em><em>x = -1/4</em>
Answer:
D and C
Step-by-step explanation:
I don't really know if my answers are even correct but I did some research on them. I don't want to waste your time --or mine.
Answer:
f(t)= 11 in - 1.3 in/h *t
Step-by-step explanation:
defining the length of the candle as L , then since the candle burns at a constant rate , then
-dL/dt = 1.3 in/h = a
therefore
-∫dL = a∫dt
-L(t)=a*t + C , C=constant
at t=0 , the length of the candle is L₀= 11 in ,thus
-L₀=a*0 + C → C= -L₀
replacing the value of C
-L(t)=a*t - L₀
L(t) = L₀ - a*t = 11 in - 1.3 in/h *t
then
f(t)= 11 in - 1.3 in/h *t
