Are the triangles similar? How do you know? A. yes, by SAS B. yes, by SSS C. yes, by AA D. no
2 answers:
Answer:
Option D is correct.
No, the triangles are not similar.
Step-by-step explanation:
AA postulates states that two triangles are similar if they have two corresponding angles equal.
Labelled the diagram as shown below:
We know that sum of all the measure of the angles in a triangle is 180 degree.
In triangle ABC:
⇒
⇒
Subtract 115 degree from both sides we get;
⇒
In triangle ABC and PQR
i.e
⇒These triangles does not satisfy the AA postulates
Therefore, the given triangles are not similar.
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The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
