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maksim [4K]
3 years ago
5

Parallel lines m and n are cut by a transversal. At the intersection of line m with the transversal, the uppercase left angle is

105 degrees. At the intersection of line n with the transversal, the bottom right angle is (3 x minus 15) degrees. What is the value of x for which m || n? x = 40 x = 5 x = 105 x = 30
Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer:

40

Step-by-step explanation:

edg2020

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What degree would be classified as an obtuse angle but is close to being a straight line
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Step-by-step explanation:

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \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-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}

6 0
2 years ago
Digging a rectangular pool 42ft×29.5×8ft. Hauling truck holds 452.5 cubic feet of dirt. How many truck loads will it take to hau
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It will take 22 truck loads to haul all the dirt away.

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9912÷425.5=42 truckloads

6 0
3 years ago
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