Answer:
MN = 68
Step-by-step explanation:
LN = 91
LM = 23
Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:
LM + MN = LN
23 + MN = 91 (Substitution)
Subtract 23 from both sides
23 + MN - 23 = 91 - 23
MN = 68
so if diane drives for 2 hours, she travels about 100 miles. if she drives for 4 hours, she drives about 200 miles. if we subtract 20 from each of these, we get 80 and 180. the answer is A.
Answer:
8%
Step-by-step explanation:
let,
this year population of students (pt)= 195
last year population of students (p)= 210
time(t)= 1 year
Population Change( R)= ?
we have,
pt= p( 1 - R/100)^t
195 = 210 ( 1 - R/100)^1
0.92= 1 - R/100
0.92-1= R/100
- 0.08 = - R/100
R= 0.08×100
R= 8%
Answer:
x = 59
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 3 + x + x = 180
3x + 3 = 180 ( subtract 3 from both sides )
3x = 177 ( divide both sides by 3 )
x = 59
Answer:
<em>We disagree with Zach and Delia and agree with Alicia</em>
Step-by-step explanation:
The domain of a function is the set of values of the independent variable that the function can take according to given rules or restrictions.
The range is the set of values the dependent variable can take for every possible value of the domain.
The graph shows a continuous line representing the values of the function. We must take a careful look to the values of x (horizontal axis) where the function exists. It can be done by drawing an imaginary vertical line passing through the value of x. If that line touches the graph of the function, it belongs to the domain. It's clear that every value of x between -5 and 3 (both inclusive because there are solid dots in the extremes) belong to the domain:
Domain: 
The range is obtained in a similar way as the domain, but the imaginary lines must be horizontal. That gives us the values of y range from -7 to 5 both inclusive:
Range:

Thus we disagree with Zach and Delia and agree with Alicia