The graph of relation r is shown. Which of the following graphs represents the relation and it’s inverse
1 answer:
Answer:
To easily solve this question, we must realize that the graph of the relation is very similar to that of the expression
y = √(x-a) , where a>0
If we take a look at the image attached, we have plotted the graph of
y = √(x-1) , and its correspondent inverse function.
This means that the answer is the first option
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Using the concept of proportional, it is found that the value of x for the given similar triangles is 2.
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Since two triangles ΔACD and ΔABE are similar triangles, then their corresponding sides will be proportional.
Therefore, AC/ AB = AD / AE
By substituting the measures of the sides here;
AC/ AB = AD / AE
(x + 10) / 10 = (15 +3) / 15
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, the value of x for the given similar triangles is 2.
More can be learned about proportions at;
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