Comparing relationships with tables
1. decide whether each table could represent a proportional relationship.
if the relationship could be proportional, what would the constant of
proportionality be?
a. how loud a sound is depending on how far
distance to
away you are.
listener (ft)
sound level
(db)
85
79
10
20
40
73
67
cost
b. the cost of fountain drinks at hot dog hut.
volume
(fluid ounces)
($)
$1.49
20
$1.59
$1.89
30

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

leave feedback if u need : )

i think its doubled. let me know

step-by-step explanation: