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zaharov [31]
3 years ago
8

What is the value of X given that the two triangles are similar.

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer:

x = 13

Step-by-step explanation:

ΔRST≈ΔYSZ

therefore:

RT/ST = YZ/SZ

(3x-7)/40 = (2x+2)/35

cross-multiply:

40(2x+2) = 35(3x-7)

80x+80 = 105x-245

80 = 25x-245

325 = 25x

325/25 = x

x = 13

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The <em>missing</em> end of the <em>line</em> segment \overline {GH} whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

<h3>How to locate the missing end of a line segment</h3>

In this question we know an end and a midpoint of a <em>line</em> segment. The <em>missing</em> end can be found from the following formula:

M(x, y) = G(x, y) + 0.5 · [H(x, y) - G(x, y)]

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0.5 · H(x, y) = M(x, y) - 0.5 · G(x, y)

H(x, y) = 2 · M(x, y) - G(x, y)     (1)

If we know that M(x, y) = (5, 3) and G(x, y) = (1, -5), then the coordinates of the point H are:

H(x, y) = 2 · (5, 3) - (1, -5)

H(x, y) = (10, 6) - (1, -5)

H(x, y) = (9, 11)

The <em>missing</em> end of the <em>line</em> segment \overline {GH} whose midpoint is M(x, y) = (5, 3) and known endpoint is G(x, y) = (1, -5) is the point H(x, y) = (9, 11).

To learn more on line segments: brainly.com/question/25727583

#SPJ1

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Answer:

To find the inverse equation, switch the x and y variables then solve for y.

Original equation: .

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Inverse:

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y = + √(100 - x) or the first option

Step-by-step explanation:

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4(3.5-2.1)0.5= 2.8 first subtract the numbers in the parentheses and then multiply the three numbers together
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