Respuesta :

[tex]\boxed {Question}[/tex]
[tex] \frac{9}{10} = \frac{z}{8} [/tex]

[tex]\boxed {Cross \ multiply}[/tex]
[tex]10z = 8 \times 9[/tex]

[tex]\boxed {Evaluate}[/tex]
[tex]10z = 72[/tex]
[tex]z = 72 \div 10[/tex]
[tex]z = 7.2[/tex]

[tex]\Longrightarrow \bf \ Answer \ : \ z = 7.2[/tex]

The value of z in the given expression ( 9 / 10 = z / 8 ) to the nearest tenth is 7.2.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

  • 9/10 = z/8
  • z = ?

9/10 = z/8

First, we cross multiply

10 × z = 9 × 8

10 × z = 72

Divide both sides by 10

(10 × z)/10 = 72/10

z = 72/10

z = 7.2

Therefore, the value of z in the given expression ( 9 / 10 = z / 8 ) to the nearest tenth is 7.2.

Learn more about equations here: https://brainly.com/question/14686792

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