Mathematics: If abc ~ dec, solve for x. the image is not drawn to scale. a. x = 2 b. x = 3 c. x = 4 d. x = 13

idkxdStep-by-step explanation:LOL...

If abc ~ dec, solve for x. the image is not drawn

Ответ:

jaleesalewis2008

01.01.2022

Mathematics

A. x = 2

Step-by-step explanation:

In the given picture we have $\triangle{ABC}\sim\triangle{DEC}$

Since, we know that the corresponding sides in similar triangles are in proportion.

Therefore, we have

$\dfrac{CD}{AC}=\dfrac{CE}{BC}\\\\\Rightarrow\dfrac{8+x}{6}=\dfrac{19-2x}{11-x}\\\\\Rightarrow\ (11-x)(8+x)=6(19-2x)\\\\\Rightarrow\ 88 + 3x -x^2=114-12x\\\\\Rightarrow x^2-15x+26=0\\\\\Rightarrow\ (x-13)(x-2)=0\\\\\Rightarrow\ x=13,2$

But x can not be 13 because BC=11-13=-2, which is not possible.

Therefore, the value of x=2.

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Ответ:

Raquelerol

04.08.2020

Mathematics

idk

Step-by-step explanation:

LOL

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If abc ~ dec, solve for x. the image is not drawn to scale.
a.
x = 2
b.
x = 3
c.
x = 4
d.
x = 13

Ответ:

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