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 one year ago
Use the Triangle Proportionality Theorem to solve for x.
A.
x = 2
B.
x = 2.5
C.
x = 3
D.
x = 3.5
 one year ago
Use the Triangle Proportionality Theorem to solve for x. A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5

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Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2just work out what x equals and thart is your answe

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 2 as 4 + 2 is to 6 + x or as an equation, 4/2 = (4+ 2)/(6 + x) Cross multiply and solve for x.

katlin95
 one year ago
Best ResponseYou've already chosen the best response.1how do i croos multiply? could you five me the solution?

Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2@mathstudent55 wouldnt it be 4/6 not 4/2? Because its 4 over the whole length of the side which is 6? 4+2

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0You are absolutely correct. Let me do it again. The two triangles are similar, so their corresponding sides are proportional. That means 4 is to 6 as 4 + 2 is to 6 + x or as an equation, 4/6 = (4+ 2)/(6 + x) Cross multiply and solve for x.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Interstingly enough, this simpler proportion also works: 4/2 = 6/x because the segments measuring 2 and x are also in the same ratio as the sides measuring 4 and 6 and the sides measuring 4 + 2 and 6 + x

katlin95
 one year ago
Best ResponseYou've already chosen the best response.1so should I do 4*6=2*x

Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2\[\huge\frac{ 4 }{ 6 } = \frac{ 6 }{ 6 + x }\]

Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2Now we cross multiply and divide everything by 4 \[\huge4(6 + x) = 36\] \[\huge6 + x = 9\] now find x

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1359442199584:dw

Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2both ways give you x=3 so its your choice to see which way you liked better.

Kuoministers
 one year ago
Best ResponseYou've already chosen the best response.2\[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}H{\color{pink}A{\color{red}NK{\color{orange}S}}}}}}}}}} \]
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