Follow the steps
106=x+79+x+45
106=2x+124
-124= -124
-18=2x
( -18)/2=(2x)/2 <----- solving for x
-9=x
then
angle LMF= -9+79
=70
angle FMN= -9+45
= 36
(when you add 70 and 36 together you get 106 which is the measurement of angle LMN or in other word the whole thing)
In conclusion the answer to the problem is:
Angle LMF is equal to 70.
Answer:
Function for given situation is : 
Value of computer after 4 years = $720.3.
Step-by-step explanation:
Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.
It clearly says that value decreases so that means function represents decay.
For decay we use formula:
where P=initial value = $3000,
r= rate of decrease =30% = 0.30
t= number of years
A=V(t) = future value
so the required function is 
or
Now plug t=4 years to get the value of computer after 4 years.
Hence final answer is $720.3.
Answer:
- False
- True
-- False
-- True
-- True
Step-by-step explanation:
The points are
, , , and ---- missing from the question
Given
Required
Determine if each of the points would be on
To do this, we simply substitute the value of x and of each point in .
(a)
In this case;
and 
becomes
<em>The point </em><em> won't be on the graph because the corresponding value of y for </em><em> is </em><em></em>
(b)
In this case;
becomes
<em>The point </em><em> would be on the graph because the corresponding value of y for </em> is
(c)
In this case:
becomes
<em>The point </em><em> wouldn't be on the graph because the corresponding value of y for </em>
<em> is </em>
<em></em>
(d)
In this case;
becomes
<em>The point </em><em> would be on the graph because the corresponding value of y for </em>
is
(e)
In this case:
; 
becomes
<em>The point </em> <em> would be on the graph because the corresponding value of y for </em> is
500 people took the survey.
12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.
If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%
400 / 0.80 = 500 people.
Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.
