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dolphi86 [110]
3 years ago
10

Line segment AB is dilated to create line segment A’B’ using point Q as the center of dilation what is the scale factor

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

2

Step-by-step explanation:

We are given the distance QA=1.25 and QA'=2.5.

We make the relation 2.5/1.25=2 is the scale factor!

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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
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\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

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3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

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Now, to determine the measure of angle IEH, we notice that:

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\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

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