Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
Answer:
( f + g ) (x) = 
g(x) - f(x) = 
Step-by-step explanation:
- f(x) = 4 x - 4 and g(x) =

( f + g ) (x) = f(x) + g(x)
= 
= 
2. g(x) =
and f(x) = 2 x + 5
g(x) - f(x) = 
= 
= 
Answer:
The standard form of the given expression is 
Step-by-step explanation:
Here, the given expression is 
Now, the Standard Form of the equation is ax + by + c = 0
Solving this, we get:

⇒
or, 
⇒
Hence, the standard form of the given expression is 
Answer:
The graph that best represents the given equation in the attached figure
Step-by-step explanation:
we have

Find the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
For x=0
substitute

The y-intercept is the point (0,2)
The given function is increasing, because the y-value increases as the x-value increases. The function tends to go up as it goes along
therefore
The graph that best represents the given equation in the attached figure
I think it is a Distributive property.