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Hoochie [10]
3 years ago
15

Determine which postulate or theorem can be used to prove that ΔSEA= ΔΡΕΝ.

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

ASA

Step-by-step explanation:

ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.

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55. f(x) = x + 2; (1, -3)
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Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr
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Answer:

y=-\frac{1}{3} x+5

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points (x_1,y_1) and  (x_2,y_2) for the line, use them to find the slope of the line that goes through them, with the formula:  slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}

Therefore, the slope of the line must be -\frac{1}{3}

Now, find the y-intercept (b) using the general form of a line with the given slope:

y=-\frac{1}{3}x +b

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5

then the y-intercept must be 5. Therefore our line is : y=-\frac{1}{3}x +5 which appears listed as your second choice.

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