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:
<h2><em><u>
x = 52</u></em></h2>
Step-by-step explanation:
<em><u>Known:</u></em>
What to find = x
Exterior angle = 142
Right angle = 90
<em><u>Unknown:</u></em>
what unknown value is = ?
Interior angle = ?
<em><u>1. Find the angle of the interior angles.</u></em>
180 - 142 = 38
<em><u>2. Add the two known angles</u></em>
38 + 90 = 128
<em><u>3. Subtract from 180</u></em>
180 - 128 = 52
<h2><em><u>
x = 52 is the answer.</u></em></h2>
Hope this helped,
Kavitha Banarjee
Answer:
it would be
Step-by-step explanation:
I do not think you need an explanation but if so just comment
Repari cost (x) = y = 35.25 x + 40
x = number of hours to repair the car.
Every hour the cost will increase 35.25, becasue 40 is a fixed cost.
if x = 1, repair cost(1) = 35.25 + 40
if x = 2, repair cost (2) = 35.25*2 + 40
if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25
The same thing every time the repair time increases one hour.
Answer: the last option of the list, for every hour of labor, the cost increases by $35.25
Answer:
24 cm
Step-by-step explanation:
Perimeter = (sx2) + (sx2)
= (6x2) + (6x2)
= 12 + 12
= 24 cm
