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Lubov Fominskaja [6]
3 years ago
6

Consider the two triangles shown below are the two triangles congruent

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer: Yes

Step-by-step explanation: Let's first find the missing angle in the second triangle and to find this angle, remember that the sum of the measures of a triangle is 180 degrees so you should find that our missing angle is 67°.

Now, notice that we have two angles and the included side of one triangle

congruent to two angles and the included side of a second triangle.

Therefore, we can say the triangles are congruent by ASA.

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Hello there,

Well we are going to start off with the equation to find the slope based on the given points:

                                                    \frac{y_{2} - y_{1}  }{x_{2} -x_{1} }

Now using the two given points we are going to plug in and solve:

                                         \frac{(-12)-(-14)}{(-18)-(-22)} = \frac{2}{4} = \frac{1}{2}

From this you know that \frac{1}{2} is the slope of the equation. However, to find the y-intercept we are going to use y = mx+ b and plug in one of the points to solve:

                                        (-14) = \frac{1}{2} (-22) + b

                                        (-14) = (-11) + b

                                         -3 = b

That means that the y-intercept is at (0, -3). Lastly, we are just going to plug all this into the slope-intercept form:

                                       y = \frac{1}{2} - 3

Hope I helped,

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