Answer:
∠DEF =56°
Step-by-step explanation:
We are given that arc DEF = 248°
So, arc DCF = 360°-248°
arc DCF = 112°
Now we are required to find the ∠DEF.
So, we will use Inscribed angle theorem.
Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
Intercepted arc = arc DCF = 112°
Inscribed angle = ∠DEF
⇒∠DEF = 
⇒∠DEF = 
⇒∠DEF =56°
Hence the measure of ∠DEF =56°
Answer:
(B) a = 41%, b = 3%
Step-by-step explanation:
The result from the survey is given below:

The second table is given as:

Now, from the first table
Total Number of Respondents =116
Therefore:

Therefore:
a=41%
b=3%
The correct option is B.
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a
. Independent
b
. Dependent
c
. Control
d
. None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
Answer:
The solution of the system of equations is the point (-3,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Adds equation A and equation B

Find the value of y
The solution of the system of equations is the point (-3,0)
Domain is [-10,∞)
2 is included , only at x=2 new function begins
Range is the values of y , so range is [-7]∪[-4,6
I think, it should be like this.