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3 years ago

Which step would help solve the equation? 2(z - 12) - 1 = z - 25 + z

Mathematics

2 answers:

eimsori [14]3 years ago

6 0

2z-24-1=z-24-z
2z-25=24
2z=49
z=49/2

andreev551 [17]3 years ago

3 0

To distribute the 2.

2(z-12)-1=z-25+z

First distribute the 2.
2z-24-1=z-25+z

Combine like terms on both sides.
2z-25=2z-25

The two equations have ended up the same. They have an infinite number of solutions.

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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

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$\large\underline{\sf{Solution-}}$

Given that,

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So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

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$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

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