Answer:
105.5 degrees
Step-by-step explanation:
Quadrilaterals always equal 360 degrees total
You already have 101 degrees + 48 degrees = 149 degrees
So take the 149 degrees away from 360 degrees: Now you have 211 degrees
Angles 1 and 2 have the same angle, as indicated by their matching line
So divide 211 degrees by 2, which = 105.5 degrees
Answer:
x = -7
Step-by-step explanation:
This is an exponential equation.
We need to take log(or ln) of both sides and use logarithm property to solve this.
So, let's take ln of both sides, so we have:
Now, we will use this property shown below to further simplify:
So, we now have:
The value of x is -7
Answer:
y = -x +4
Step-by-step explanation:
The y-intercept of the line is at +4, so the only viable choice is the last choice.
___
Each of the equations is shown in slope-intercept form:
y = mx + b
where b is the y-intercept, the y-value when x=0. The graph shows that as point (0, 4). So, the equation you're looking for is ...
y = (some x-term) +4
If you want to spend more brain power on the problem, you can compute the slope of the line as ...
m = ∆y/∆x = (1-4)/(3-0) = -3/3 = -1
Now, you know for sure the equation of the line is ...
y = -x +4