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For a scale of 1cm: 12km what is the actual length represented by 1.7 cm
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<h3>Answer: Choice D. 
</h3>
The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".
The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that , then we can use ASA.
One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.
Answer:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.
Step-by-step explanation:
For this exercise you need to know that the slope of any horizontal line is zero ()
The slope of a line can be found with the following formula:
You can observe in the graph of the function given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:
The steps to find the slope of the function shown in the table attached, are the following:
- Choose two points, from the table:
and
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get:
Therefore:
1) The slope of the function is
and the slope of the function
is
.
2) The negative slope of the function shows that it is the line is increasing and the slope
of the function
shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function
.