The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.
Part A.
y=4x+3
Part B.
11=4x+3
8=4x
2=x
2 dollars
Part C.
4(3)+4(2)=12+8=20
It would be enough if there is no sales tax.
Hope this helps!
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The algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
<h3>Algebraic expression to show how much Maria paid for the tickets</h3><h3 />
- Number of tickets Maria bought = 5
- Cost of each tickets = $20
- Additional fee per tickets = $2
let
- Total amount Maria paid for the tickets = y
Total amount Maria paid for the tickets = Cost of each tickets(Number of tickets Maria bought) + Additional fee per tickets(Number of tickets Maria bought)
y = 20(5) + 2(5)
y = 100 + 10
y = $110
Therefore, the algebraic expression which shows how much Maria paid for the tickets including the additional fee is y = 20(5) + 2(5)
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Answer:
Infinite solutions
Step-by-step explanation:
2x−7y=12 (1)
−x+3.5y=−6 (2)
(2) x = 3.5y + 6
(1) 2(3.5y+6) - 7y = 12
7y + 12 - 7y = 12
12 = 12 (a true statement)
Since the variable got eliminated and we got a true statement, the system has infinitely many solutions.
One of the solutions:
(6,0)
Answer:
I am a professional, worry not
-1.6 < -1.55 < -0.4 < 1.35 < 1.7