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harkovskaia [24]
3 years ago
6

Solve the problem. if a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
Pitch = rise/span = rise/(2 x run)
5/11 = rise/(2  x 33) = rise / 66
rise = 66 x 5/11 = 30 feet.
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Read 2 more answers
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6)
vova2212 [387]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
X&({{ a}}\quad ,&{{ b}})\quad 
%  (c,d)
Y&({{ -8}}\quad ,&{{ 6}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

\bf \left( \cfrac{-8+a}{2}~,~\cfrac{6+b}{2} \right)=\stackrel{M}{(-3,-1)}\implies 
\begin{cases}
\cfrac{-8+a}{2}=-3\\\\
-8+a=-6\\
\boxed{a=2}\\
----------\\
\cfrac{6+b}{2}=-1\\\\
6+b=-2\\
\boxed{b=-8}
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5 0
2 years ago
Q is equidistant from the sides of ZTSR. Find mZRST. The
melisa1 [442]

9514 1404 393

Answer:

  40°

Step-by-step explanation:

Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:

  3x +2 = 4x -4

  6 = x

Then the total angle measure of angle RST is ...

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m∠RST = 40°

6 0
3 years ago
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