Mathematics: Somebody answer the question you : )

Somebody answer the question you : ) - id4461651, natalie2sheffield

brown62

25.03.2023

TU = 15

Step-by-step explanation:

Given

$\square MNOP \simeq\ \square STUV$

NO = 10

OP = 4

TU = x

UV = 6

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

NO : OP = TU : UV

Substitute values for NO, OP, TU and UV

10 : 4 = x : 6

Represent as fraction

$\frac{10 }{ 4 } = \frac{x }{ 6}$

Multiply both sides by 6

$6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6$

$6 * \frac{10 }{ 4 } = x$

$x = 6 * \frac{10 }{ 4 }$

$x = \frac{60 }{ 4 }$

x = 15

Hence:

TU = 15

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