Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
1 answer:
Answer:
<h3>B. 16°</h3>Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
You might be interested in
To solve this problem you must apply the proccedure shown below:
1. You have the following function:
2. You can rewrite it as following:
3. The line intersects the y-axis when , therefore:
4. The line intersects the x-axis when :
5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.
Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).
