2 years ago

Graph the image of the figure using the transformation given

Mathematics

1 answer:

Effectus [21]2 years ago

4 0

Where's the image I need to know to help you

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If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Gnom [1K]

Answer:

Part 1) $x=7$

Part 2) $EF=10\ units$

Part 3) $FG=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

$28=(3x-11)+(4x-10)$

solve for x

$28=7x-21$

$7x=28+21$

$7x=491$

$x=7$

step 2

Find the value of EF

$EF=(3x-11)$

substitute the value of x

$EF=3(7)-11=10\ units$

step 3

Find the value of FG

$FG=(4x-10)$

substitute the value of x

$FG=4(7)-10=18\ units$

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Answer:

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