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Darina [25.2K]
3 years ago
6

Please help me with this question ASAP.

Mathematics
2 answers:
Ronch [10]3 years ago
8 0
UW = 67

Explanation:

1. Find UV in terms of x.
6x - 35 - (4x - 20) = 2x - 15
2x - 15 = 19

2. Solve for x.
2x - 15 = 19
2x = 34
x = 17

3. Use the value of x to find UW.
UW = 19 + (4(17) - 20) = 67
Zina [86]3 years ago
3 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}

Step-by-step explanation:

Given,

UV = 19

VW = 4x - 20

UW = 6x - 35

To find : value of UW

<u>First,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u>

Create an equation and solve for x

\sf{UV + VW = UW}

\longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}

\longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}

\longrightarrow{ \sf{4x - 6x =  - 35 + 1}}

\longrightarrow{ \sf{ - 2x =  - 34}}

\longrightarrow{ \sf{ \frac{ - 2x}{ - 2}  =  \frac{ - 34}{ - 2}}}

\longrightarrow{ \sf{x = 17}}

Value of x = 17

<u>Replac</u><u>ing</u><u> </u><u>/</u><u> </u><u>Substituting</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>6</u><u>x</u><u> </u><u>-</u><u> </u><u>3</u><u>5</u><u> </u><u>in</u><u> </u><u>order</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of </u><u>UW</u>

\sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}

UW = 67

Hope I helped!

Best regards! :D

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