<span>Answer: Option (C) More than one
Explanation:
All triangles must satisfy the following condition:
"The sum of all the angles of a triangle should be 180°."
25° + 25° + 130° = 180° (The condition of a triangle is satisfied.)
HOWEVER, keeping angles the same as above, we can construct "More than one" triangles by varying the lengths of a triangle.
For example:
By keep the three angles of a triangle 25°, 25° and 130°, the triangle with the three sides of lengths 10, 10, 18.13 (respectively) is same as the triangle with the three sides of lengths 1, 1, 1.81 (respectively). Likewise, you can construct infinite number of triangles. Therefore, the correct option is "(C) More than one."</span>
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If x and y vary inversely, then xy = const.
x = 10, y = 8
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
-np - 80 < 60....add 80 to both sides
-np < 80 + 60
-np < 140...divide both sides by p
-n < 140/p ...now multiply by -1 to make n positive, and change inequality sign
n > -140/p
