Answered

The lengths of two sides of a triangle are 10 inches and 4 inches. Which of the following dimensions is the third side of this triangle?


4 inches

5 inches

6 inches

7 inches


The angles shown below are supplementary:


A pair of supplementary angles is shown. One angle measures 10x and the other angle measures 70 degrees.


What is the value of x?


10°

11°

20°

21°

Verified Answer :

AL2006


First part:

The triangle would look like a triangle only if the third side is 7 inches.

The third side could be 6 inches, but then all 3 sides would lie on a straight
line, and you couldn't tell that it's a triangle.

The third side can't be 4 inches or 5 inches, because it would be too short
to join the ends of the first 2 sides.


Second part:

If the angles are supplementary, that means that
they add up to 180° .

Let's addum up:
                                               10x + 70°   =  180°

Subtract 70° from each side:  10x            = 110°

Divide each side by 10:              x            = 11°

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