Use the image to answer the question.
A triangle has a base labeled x and the right edge labeled 7. Two congruent tick marks are shown on the left and the right edges.
Find the range of values for the third side of the triangle, x, based on the diagram.
(1 point)
<x<
x<7
explain
According to the diagram, the base of the triangle is labeled as x, and the right edge is labeled as 7. The tick marks on the left and right edges indicate that they are congruent, meaning they have the same length.
Since the third side of the triangle must be shorter than the sum of the other two sides (base and right edge), we can conclude that x must be less than 7. Therefore, the range of values for x is x<7.
Based on the image, we can see that the triangle has a base labeled x and a right edge labeled 7. The left edge is also shown with two congruent tick marks.
To find the range of values for the third side of the triangle, x, we can observe that the length of the third side must be greater than the difference between the lengths of the two congruent tick marks on the left edge.
Since the left edge has two congruent tick marks, the difference between them is 7 - x. Therefore, the range of values for x is:
0 < x < 7.