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Lynna [10]
2 years ago
8

What is the Value out in the equation 3/4 (z+4)=9

Mathematics
1 answer:
alisha [4.7K]2 years ago
8 0

Answer:

z = 8

Step-by-step explanation:

3/4 (z+4)=9

3/4z + 3 = 9

3/4z = 6

z = 8

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musickatia [10]

Check the picture below.

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\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}

8 0
1 year ago
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