Using a proportional relationship, the amounts are given as follows:
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, we have that:
- The input variable is the number of tennis players.
- The output variable is the number of soccer players.
From the first row of the table, the constant is given as follows:
k = 35/15 = 7/3.
Hence the relationship is:
y = 7/3x.
For the second row of the table, we have that x = 3, hence:
y = 7/3 x 3 = 7.
For the third row of the table, we have that y = 84, hence:
84 = 7/3x
x = 84 x 3/7
x = 36.
Then the amounts are given as follows:
More can be learned about proportional relationships at brainly.com/question/10424180
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Alternate interior angles are equal, thus the given alternate interior angle is 80 degrees.
Therefore, x = 80 - 15 = 65 degrees.
Answer:
1.x=15
2.<A=29
Step-by-step explanation:
(2x-1)+(3x+9)+(6x+7)=180
2x-1+3x+9+6x+7=180
11x+15=180
11x=180-15
11x=165
x=165/11
x=15
2.<A=2x-1
<A=2*15-1
<A=30-1
<A=29
Answer:
Those graphs do not intersect.
Estes gráficos no se intersecciónan
Step-by-step explanation:
The intersection points are x for which:
In this question:
So
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
In this question:
So 
Sincce 
is negative, there are no solutions, which means that those graphs do not intersect.
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
__
a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
__
b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
__
c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
