Answer:
x = 6
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
13x - 5 + 67 + 40 = 180
13x + 102 = 180 ( subtract 102 from both sides )
13x = 78 ( divide both sides by 13 )
x = 6
49.5 / 71.5 = x / 97.5
x = 49.5 * 97.5 / 71.5
x = 67.5
answer
x = 67.5 ft
Solving a compound inequality for this solution gives solution as;
13 daytime cameras and 7 flash cameras or 7 daytime cameras and 13 flash cameras
<h3>How to solve inequality problems?</h3>
Let the number of daytime cameras be x
Let the number of flash cameras be y
Thus, we have;
x + y = 20 ------(1)
Now, daytime cameras costs 2.75 dollars and the flash camera costs 4.25 dollars and you want to spend between 65 and 75 dollars, inclusive. Thus, the inequality to represent this are;
2.75x + 4.25y ≥ 65 and 2.75x + 4.25y ≤ 75
Solving the 3 compound inequalities simultaneously, we can say that the approximate values of the numbers of cameras are;
13 daytime cameras and 7 flash cameras or 7 daytime cameras and 13 flash cameras
Read more about Inequalities at; brainly.com/question/25275758
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ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:

First, collect like terms:

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>