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Volgvan
3 years ago
7

Solve the following: 3x + 7 = 5x - 1 X =

Mathematics
1 answer:
dexar [7]3 years ago
7 0

Answer:

x= 4

Step-by-step explanation:

3x + 7 = 5x - 1

combine the like numbers: add 1 to the other side, isolating 5x

3x + 8 = 5x

Subtract 3x from 5x, isolating 8

8 = 2x

divide

4 = x

Check if it works

3(4) + 7 = 5(4) - 1

19 = 19

Yes, it is correct

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Answer:

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of \stackrel{\large{\frown}}{ADC}

The\ sum\ of\ angles\ in\ a\ circle\ is 360^{\circ}.

So, we have:

\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB}  + \stackrel{\large{\frown}}{BPC}  = 360^{\circ}

Where:

\stackrel{\large{\frown}}{APB}  = 70^{\circ}

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Substitute these values in the above equation.

\stackrel{\large{\frown}}{ADC} + 70^{\circ}   +104^{\circ}   = 360^{\circ}

\stackrel{\large{\frown}}{ADC} + 174^{\circ}   = 360^{\circ}

Collect Like Terms:

\stackrel{\large{\frown}}{ADC}    = 360^{\circ} - 174^{\circ}

\stackrel{\large{\frown}}{ADC}    = 186^{\circ}

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