By solving a system of equations, we will see that m measures 12 units.
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How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer: If perpendicular lines intersect, then they form right angles.
Step-by-step explanation:
You take the first part, "perpendicular lines intersect", and add the "if" to it. Then, you take the second part, "to form right angles", and add the "then" in front of it to get your answer, "If perpendicular lines intersect, then they form right angles."
Hope it helps! :)
Hello, your answer would be (-5, 5)
