5x-6><span>9
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Add 6 on each side of the equation
</span><span><span>5x-6</span>+6</span>><span>9+6
</span><span>5x</span>><span>15
</span>--------------------------
Divide each side by 5
5x ÷ 5 > 15 ÷ 5
x > 3
-------------------------------------
x > 3 is your answer
The measure of the missing side of the right triangle are as follows;
adjacent side = 5√2
hypotenuse = 10
<h3 /><h3>How to find the side of a right triangle?</h3>
A right angle triangle has one of its angles as 90 degrees.
Therefore,
using trigonometric ratios,
tan 45 = opposite / adjacent
tan 45 = 5√2 / a
adjacent side = 5√2 / 1
Therefore,
adjacent side = 5√2
sin 45 = opposite / hypotenuse
hypotenuse = 5√2 / √2 / 2
hypotenuse = 5√2 × 2 / √2
hypotenuse = 10
learn more on right triangle here: brainly.com/question/6322314
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Let the number of children be c, and the number of adults be a.
c + a = 170 (total number of tickets)
Then the cost of each is: $5.90/child, $9.60/adult:
5.9c + 9.6a = 1269.40 (total sales)
Solving as 2 simultaneous equations, we first transform the first equation:
a = 170 - c
Substitute into the 2nd equation:
5.9c + 9.6(170 - c) = 1269.40
Solving gives c = 98, and a = 170 - 98 = 72. This means that 72 adult tickets were sold that day.