Step-by-step explanation:
<em>Create an equation for finding the measurement of angle x.</em>
<u><em>The interior angles of a triangle always add up to 180</em></u><em>°</em> while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°
We are given two out of the three angles. The first angle we are given measures 65° while the second angle measures 79°. Since all three angles always add up to 180°, we can add 65°, 79° and x° to equal 180°. This gives us the equation<em> 65 + 79 + x = 180. </em>
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<em>Now solve for x. </em>
The first step in solving for <em>x </em>is combining like terms, so add <em>65 </em>and <em>79</em>. This gives us the equation <em>144 + x = 180</em>
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The next step in solving for <em>x </em>is to get by itself on one side of the equation and to have the number on the other side of the equation by itself. In order to do this, subtract <em>144 </em>from each side of the equation to eliminate the number from the side with <em>x </em>in it.
This gives us the equation x = 36 which is our answer. The value of x is 36. Hope this helps, and have a great day!
Answer:
The distance the tornado traveled was approximately 205 miles.
Step-by-step explanation:
The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:
Compute the value of <em>d</em> for <em>s</em> = 280 as follows:
Thus, the distance the tornado traveled was approximately 205 miles.