Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJ
dolphi86 [110]
Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.
SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.
For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:
<u>Slope of KL</u>:
slope = 
slope = 
slope = -1
<u>Slope of MN</u>:
slope = 
slope = 
slope = -1
Since the slopes of KL and MN are the <u>same</u> and the angle is <u>congruent</u>, we can conclude that ΔJKL~ΔJMN.
To solve, it would be 6.25n. That eliminates both 6n25 over P, P equals 6.25 over n, and n=6.25P, leaving P=6.25n as the answer.
The only function rule that works is A.
Instead of using f(x) - use y
Then place the numbers in for x and see which are true. The answer is A
Answer:
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The function that represents the Scooter Company's total profit is given by:
P(x) = -2x² + 250x - 2,000.
<h3>How to calculate the profit function?</h3>
The profit function is calculated by the <u>revenue function subtracted by the cost function</u>, hence:
P(x) = R(x) - C(x).
In this problem, we have that:
- The revenue function is: R(x) = 400x - 2x².
- The cost function is: X(x) = 150x + 2000.
Hence the profit function is:
P(x) = R(x) - C(x).
P(x) = 400x - 2x² - (150x + 2000).
P(x) = -2x² + 250x - 2,000.
More can be learned about profit functions at brainly.com/question/25274969
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