What should be the value of x to support the claim of the engineer?
[tex]\small\bold{SOLUTION:}[/tex]
- Given that the distance from Leisure hall to Remy's house and Leisure hall to Janet's house are congruent, we will equate their given distance to find the value of x.
[tex] \qquad \qquad \tt 4x + 12 = 3x + 19 \\ \\ \qquad \qquad \tt 4x - 3x = 19 - 12 \\ \\ \qquad \qquad \red{ \boxed{ \tt x = 7}}[/tex]
[tex]\qquad\quad\therefore\textsf{The value of x is 7}[/tex]
[tex]\\[/tex]
How far is Remy’s house to the Leisure hall in meters?
- We will substitute the value of x to 4x+12
[tex] \qquad \qquad \tt (4x + 12 )\: m \\ \\ \qquad \qquad \tt = \big(4(7) + 12 \big) \: m\\ \\ \qquad \qquad \tt = (28 + 12)m \\ \\ \qquad \qquad = \red{ \boxed{ \tt 40 \: m}}[/tex]
[tex]\scriptsize\therefore\textsf{Remy's house is 40 meters far from the Leisure hall}[/tex]
[tex]\\[/tex]
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