Answer:
B
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
y + 10 + 2y + 50 = 180 , that is
3y + 60 = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40 → B
C = 10m + 30, where C is total cost and m is # of months
C = 10(5) + 30
C = 50 + 30
C = $80
$160 = 10m + 30
160 - 30 = 10m
130/10 = m
m = 13 months
Hope that helps
The correct answer is Choice A.
You can see from the graph that the y-intercept is 50 because it cross on the left at 50.
To find the slope, we can use the following two points (0, 50) and (20, 110). This will give a slope of 3.
Put the 50 and 3 together and you will have the equation:
y = 3x + 50
An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
Answer:
Option A. 
Step-by-step explanation:
we know that
If triangle ABC is a right isosceles triangle
then
AB=AC
m<ABC=m<ACB=45°
therefore
The coordinate of point C is 
the x-coordinate of the midpoint M is equal to
The coordinates of point M are
