Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
 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
 one year ago

This Question is Closed

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

mathstudent55Best ResponseYou've already chosen the best response.0
The 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.
 one year ago

katlin95Best ResponseYou've already chosen the best response.1
how do i croos multiply? could you five me the solution?
 one year ago

KuoministersBest 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
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.0
You 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.
 one year ago

mathstudent55Best ResponseYou've already chosen the best response.0
Interstingly 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
 one year ago

katlin95Best ResponseYou've already chosen the best response.1
so should I do 4*6=2*x
 one year ago

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

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

mathstudent55Best ResponseYou've already chosen the best response.0
dw:1359442199584:dw
 one year ago

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

KuoministersBest ResponseYou've already chosen the best response.2
\[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}H{\color{pink}A{\color{red}NK{\color{orange}S}}}}}}}}}} \]
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.