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3 years ago

What is the value of y in this triangle?

Mathematics

2 answers:

KatRina [158]3 years ago

7 0

First find the angle st the bottom right of the triangle which is 46 the way I got it is because a straight line is 180 degrees and it gives u angle 134 so to find the opposite side just do 180- 134 which is 46 degrees.

a triangles angles all add up to 180 and we have both bottom angles. so to find the last angle just do 180 - 98 - 46 = 36.

so your last angle is 36 degrees

PilotLPTM [1.2K]3 years ago

6 0

36 Degrees is the value of y

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indicate in standard form the equation of the line in standard form. the line through (2,-1) and parallel to a line with slope 3

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$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

We have $m_1=\dfrac{3}{4}$ .

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$y=\dfrac{3}{4}x+b$

The line passes through point (2, -1). Substitute the coordinates of the point to the equation of a line:

$-1=\dfrac{3}{4}\cdot2+b\\\\-1=\dfrac{3}{2}+b\ \ \ \ |-\dfrac{3}{2}\\\\b=-\dfrac{2}{2}-\dfrac{3}{2}\\\\b=-\dfrac{5}{2}$

$y=\dfrac{3}{4}x-\dfrac{5}{2}\ \ \ \ |\cdot4\\\\4y=3x-5\cdot2\ \ \ \ |-3x\\\\-3x+4y=-10\ \ \ \ \ |\cdot(-1)\\\\3x-4y=10$

<h2>Answer: 3x - 4y = 10</h2>

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