In the diagram below, X is a whole number. What is the smallest possible value for X
2 answers:
Answer:
Option D is correct: 9 units.
Step-by-step explanation:
<em>According to the triangle inequality theorem, we know that the sum of the lengths of any two sides of a given triangle, is greater than the length of the third side.</em>
Therefore, we can say
Now, the nearest whole number greater than 8.5 is 9 units.
Hence, option D is the correct answer.
You might be interested in
Given:
The graph of a function.
To find:
The domain and range of the given graph.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that, the graph is defined for the interval (-4,4).
But there is a closed circle at x = -4 and an open circle at x = 4. It means, -4 is included and 4 is not included in the solution set.
Domain: [-4,4)
Domain:
Range is the set of y-values or output values.
From the given graph it is clear that, the output values are lie in the interval (-3,4).
But there closed circle at x = -3 and x = 4. It means, -3 and 4 are is included in the set of output values.
Range: [-3,4]
Range:
Therefore, domain is and range is
.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
Multiply both sides by 16.
And,
Multiply both sides by 16.
Therefore, the missing side lengths are and
.