Use the image to answer the question.
A horizontal number line is labeled from left to right with the numbers 30 to 100 in increments of 10. Open circles are shown on the number line at labeled values of 36 and 92. The number line is shaded between the open circles.
x is the length in inches of the third side of a triangle. The range of all possible values of x is shown on the number line. Which of the following options has possible lengths of the other two sides of the triangle?
(1 point)
Responses
42 inches and 50 inches
42 inches and 50 inches
28 inches and 64 inches
28 inches and 64 inches
36 inches and 92 inches
36 inches and 92 inches
48 inches and 76 inches
The image shows an open circle at the labeled value of 36 and another open circle at the labeled value of 92. The number line is shaded between these two open circles. This indicates that the range of possible values for x, the length in inches of the third side of the triangle, is between 36 and 92 inches.
Therefore, the correct option is:
36 inches and 92 inches
Based on the information provided and the image, the range of possible values of x, the length of the third side of the triangle, is shown between the open circles at 36 and 92 on the number line.
Therefore, the option that has possible lengths for the other two sides of the triangle is:
36 inches and 92 inches.