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umka21 [38]
3 years ago
12

Find the length of x

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

32

Step-by-step explanation:

Let's assume that the triangles are similar.

\frac{16}{12} = \frac{24}{18} = \frac{x}{24}

\frac{x}{24} = \frac{4}{3} => x = \frac{24}{3} * 4= 8 * 4 = 32

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Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2X - 3Y = 6 at X = 3
Shtirlitz [24]

so these two lines intersect at x = 3 hmmmm what's the y-coordinate of the second line at that point?

\bf 2x-3y=6\implies \stackrel{\textit{using x = 3}}{2(3)-3y=6}\implies 6-3y=6\implies -3y=0\implies y=0

so the y-coordinate of that second line is 0, so the point there is (3, 0) then.

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\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=2(x-3)\implies y=2x-6

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3 years ago
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olga nikolaevna [1]

Answer:

Step-by-step explanation:

Starting with 2x+6=22

You subtract 6 from each side of the equation:

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