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katlin95
 3 years ago
Use the Triangle Proportionality Theorem to solve for x.
A.
x = 2
B.
x = 2.5
C.
x = 3
D.
x = 3.5
katlin95
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.2just work out what x equals and thart is your answe

mathstudent55
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1how do i croos multiply? could you five me the solution?

Kuoministers
 3 years 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
 3 years 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
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1so should I do 4*6=2*x

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

Kuoministers
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1359442199584:dw

Kuoministers
 3 years 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
 3 years 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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