Respuesta :

Answer:

4. [tex]k=3\\[/tex]

5. [tex]h=35[/tex]

6. [tex]\frac{7}{2}[/tex] or 3.5

Step-by-step explanation:

[tex]\frac{k}{6}=\frac{8}{16}[/tex]

Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.

[tex]k=\frac{8*6}{16}\\ k=\frac{48}{16}\\ k=3[/tex]

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[tex]\frac{5.4}{7}=\frac{27}{h}[/tex]

[tex]h=\frac{7*27}{5.4} \\h=\frac{189}{5.4}\\ h=35[/tex]

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[tex]\frac{8}{11}=\frac{4}{y+2}[/tex]

[tex]y+2=\frac{11*4}{8}\\ y=\frac{11*4}{8}-2\\y=\frac{44}{8}-2 \\y=\frac{11}{2}-2\\ y=\frac{11-2*2}{2}\\ y=\frac{11-4}{2}\\ y=\frac{7}{2}=3.5[/tex]