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3 years ago

Find the length of MG. EGF~EML

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

The length of MG = 56.

Step-by-step explanation:

Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.

Given that: $\triangle EGF \sim \triangle EML$

From the given figure:

In $\triangle EGF$ and $\trinagle EML$

EG = $5x+2$

EF = $126$

EM = $16$

EL = $28$

By definition of similar triangle,

$\frac{EG}{EM}=\frac{EF}{EL}$ ...... (1)

Substitute the given values in equation (1) as shown below:

$\frac{5x+2}{16}=\frac{126}{28}$

$5x+2 = 4.5\times 16$

$5x+2 =72$

which implies, EG = $72$ .

Now to find the value of MG.

EG = EM+MG

$72=16+MG$

Subtract 16 from both sides, we get

$MG = 56$

Hence, the value of length of MG = 56.

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solve for y

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Step-by-step explanation:

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W = - Ff*d

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⇒ - (μ*m*g*Cos θ)*d₁ = (Kf+Uf) - (Ki+Ui) = (Kf+0) - (0+Ui) = Kf - Ui

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⇒ - μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ (I)

Distance 2:

- Ff*d₂ = Ef - Ei

⇒ - (μ*m*g)*d₂ = (0+0) - (Ki+0) = - Ki

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- (μ*m*g)*d₂ = - 0.5*m*v²

⇒ μ*g*d₂ = 0.5*v² (II)

If we apply (I) + (II)

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μ*g*d₂ = 0.5*v²

⇒ μ*g (d₂ - Cos θ*d₁) = v² - g*d₁*Sin θ (III)

Applying the equation (for the distance 1) we get v:

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Finally

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