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3 years ago

8

Triangle abc is similar to xyz. which proportion can be used to find the unknown side length

1 answer:

Alex17521 [72]3 years ago

7 0

Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.

Step-by-step explanation:

The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.

If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.

This means AB/XY=AC/XZ=BC/YZ

This common ratio is often termed as “scale factor”

Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9

photoshop1234 [79]

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$\large\boxed{y=\dfrac{7}{2}x-18}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

$3x+4x=2y-9$

$7x=2y-9$ <em>add 9 to both sides</em>

$7x+9=2y$ <em>divide both sides by 2</em>

$\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}$

Parallel lines have the same slope. Therefore we have the equation:

$y=\dfrac{7}{2}x+b$

Put the coordinates of the point (4, -4) to the equation:

$-4=\dfrac{7}{2}(4)+b$

$-4=7(2)+b$

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Finally we have the equation:

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3 years ago

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Answer:

c(x-3)-4=b(x+7)
(cx-c•3)-4=b(x+7)
cx-3c-4=b(x+7)
cx-3c-4=bx+b•7
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x(b-c)/b-c = -3c-7b-4/b-c

x=-3c+7b+4/b-c

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3 years ago