help please? will give medal.

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help please? will give medal.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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@satellite73 please no one has helped i cry evrityme
Sorry that you cried...you need to view this as two triangles, try drawing the two triangles.

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|dw:1436522245343:dw|
Now since both triangles are "congruent" then side "ST" must be parallel to "RQ"
yes
St6atement 2:
steatement 3:
yep
Okay, not sure about statement 4.."similar" means basic shape is same, but not necessarily congruent.
they both share angle P
60: (60+x) = 48: (48+36) these are proportions
ok
48+36=84
60+x=84 ??
no, they are proportionate, so they wont equal exactly.
ahhh
60/(60+x) = 48/(48+36)
so 48/84
|dw:1436523583418:dw|
84*60=(60+x)48 ?
isnt it 48 PLUS 36?
48+36 = 84 therefore we have: |dw:1436523838479:dw|
Since the triangles are simi9lar, corresponding sides have proportional lengths. |dw:1436566575542:dw|
so 5040=48(60+x)
then i distribute 48?
|dw:1436566648223:dw|
5040=2880+48x ?
Don't do any calculations. The question is only asking how to complete setting up the proportion.
|dw:1436566792194:dw|
|dw:1436566826559:dw|
5040 = 2880 - 48x 5040-2880 = 48 x 2160 =48x x=45
Need to follow advice of @mathstudent55 as more qualified than me
thank you both so much!
You are very welcome @Gjallarhorn

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