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Lubov Fominskaja [6]
3 years ago
10

Find the indicated length

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

x=6

AC = 28

Step-by-step explanation:

4x+4= AC

4x +4 = 14 + 3x -4

4x-3x= 14-4-4

x = 6

AC = 4(6) +4 = 24+4 = 28

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Data:

l and m are parallel lines

QR and ST are perpendicular in R

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\begin{gathered} m\angle1=m\angle3 \\  \\ m\angle3=63 \end{gathered}

The sum of the interior angles of a triangle is always 180°. In triangle QRT:

\begin{gathered} m\angle2+m\angle3+90=180 \\  \\ m\angle2+63+90=180 \\  \\ m\angle2+153=180 \end{gathered}

Use the equation above to find the measure of angle 2:

\begin{gathered} \text{Subtract 153 in both sides of the equation:} \\ m\angle2+153-153=180-153 \\  \\ m\angle2=27 \end{gathered}Then, the measure of angle 2 is 27°

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1 year ago
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Step-by-step explanation:

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Step-by-step explanation:

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