Hi There!
The number of teams who entered in a 3-on-3 charity basketball tournament can be modeled by function T, where x is the number of years since the tournament first started.
T(x)=4x+24
The entire fee paid by each team to enter the tournament can be modelfied by function F, where x is the number of years since the tournament first started.
F(x)=5x+45
Which function,R, best represented the total entry fees collected in the xth year since the tournament first started?
Answer - D. R(x)=9x+69
Option D makes the most sense for the following question because since whatever x is multipled by the number thats just added so you just combine like terms and do 24 + 45 = 69.
Answer: 55.9 degrees and 124.1 degrees
Step-by-step explanation:
Answer:
∠MON = 57°
Step-by-step explanation:
Given that OL and ON are perpendicular lines then ∠LON = 90° and
∠LOM + ∠MON = 90, substitute values
3x - 15 + 5x - 23 = 90, that is
8x - 38 = 90 ( add 38 to both sides )
8x = 128 ( divide both sides by 8 )
x = 16
Hence
∠MON = 5x - 23 = (5 × 16) - 23 = 80 - 23 = 57°
S=f+60
J=Fx2-50
Senior=fx3
(f)+(f+60)+(fx2-50)+(fx3)=1424 (Parenthesis first)
f+f+60+2f-50+3f=1424 (rewrite)
2f+60+2f-50+3f=1424 (combine like variables)
7f+10=1424 (rewrite)
7f=1414 (isolate variable (take away 10 from each side))
1414/7
202=freshman
Answer:
- complement: 32.8°
- supplement: 122.8°
Step-by-step explanation:
The sum of an angle A and its complement C is 90°:
A + C = 90°
C = 90° -A . . . . . subtract A from both sides.
That is, the complement of an angle is found by subtracting the angle from 90°.
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The sum of an angle and its supplement is 180°. This means the supplement of an angle is found by subtracting the angle from 180°. You may notice the supplement is 90° more than the complement.
A + S = 180°
S = 180° -A = 90° +(90° -A)
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For the given angle, the complement is ...
C = 90° -57.2° = 32.8°
And the supplement is ...
S = 180° -57.2° = 122.8°
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<em>Additional comment</em>
We generally like angle measures to be positive (as with all measures in geometry). Hence, we might say that the complement of an angle greater than 90° does not exist. YMMV