110k views
0 votes
. If Triangle UVW - UST, solve for the value of x.

User Joebert
by
8.1k points

1 Answer

5 votes

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem we have that

triangle UVW and triangle UST are similar

that means

UV/US=VW/ST=UW/UT

so

UV/US=VW/ST

substitute the given values

(5x+11)/18=88/24

solve for x

24(5x+11)=18*88

120x+264=1,584

120x=1,584-264

120x=1,320

x=11

User Mikel F
by
9.2k points

Related questions

asked Sep 4, 2024 127k views
Love Gupta asked Sep 4, 2024
by Love Gupta
8.2k points
1 answer
4 votes
127k views
asked Oct 16, 2024 229k views
Oeter asked Oct 16, 2024
by Oeter
8.2k points
1 answer
5 votes
229k views