Two parallel lines are crossed by a transversal.What is the value of k?
2 answers:
Answer:
<h2>k = 60</h2>Step-by-step explanation:
<em>The complete problem is attached.</em>
From the interception of two parallels lines and a transversal, results 8 angles, which are related, there are certain pair of angles that are congruent. We have alternate angles, which can be exterior or interior, we have corresponding angles, and vertical angles, all of those pairs are always congruent.
In the graph, we see that the given angles are alternate exterior angles, which always are congruent. So, we can equalize that pair and solve the equation for <em>k:</em>
<em></em>
Therefore the value of <em>k </em>is 60. The correct answer is the third one.
(Pay attention on the definition we used, just basing on alternate angles we could find a relation to find <em>k</em>, in most of the cases you solve geometric problems like that, looking for the ways to find a relation that allow you to answer the question).
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Step-by-step explanation:
Given inequality is .
To graph that inequality, first we need to graph the line . Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into , we get:
Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:
Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into .
0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
If function and inverse be
Both will seem to be opposite and similar .
Look at the first one
It is showing like 1 is function and other one is its inverse(Attachment )
Hence 1st one is the answer
