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3 years ago

9

Please help me. Very confused. due tomorrow!!

1 answer:

Viktor [21]3 years ago

7 0

These triangles are identical, bc they have the same angles. (top angle is the same, and two bottom angles are same for all 4 of them). if identical = true, then the bases are ratios. therefore
ab+cb : cb = 22 : 2.75
ab+cb : 5 (cb) = 8
ab+5 : 5 = 8
ab+5 = 40
ab = 35

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Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

stealth61 [152]

Given:

FG=5x+2

GH=3x-1

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Let us draw the line segment as follows,

Equating the length of FG, we get,

$\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}$

Substitute the value of x in the given value of GH,

$\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}$

And the total length FH is,

$\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}$

Hence, the lengths are,

$\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}$

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