3 years ago

If UW=6x-35, UV=19, VW=4x-20 , what is UW

Mathematics

2 answers:

baherus [9]3 years ago

6 0

Answer:

UW=67

Step-by-step explanation:

done the topic

Anarel [89]3 years ago

3 0

Since V is a point on the line UW, therefore:
the length of UV + the length of VW = the length of UW
19 + 4x - 20 = 6x - 35
19 - 20 + 35 = 6x - 4x
34 = 2x
x = 34/2 = 17

Based on this:
UW = 6x - 35 = 6(17) - 35 = 67 cm
UV = 19 cm
VW = 4x - 20 = 4(17) - 20 = 48 cm

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