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2 years ago

Show ALL your work. @100 POINTS + BRAINLYEST + 5 STARS AND LIKEFind MG. ∆EGF~∆EML.

Mathematics

1 answer:

Afina-wow [57]2 years ago

4 0

Answer:

MG = 56

Step-by-step explanation:

The triangles EML and EGF are similar thus the ratios of corresponding sides are equal, that is

$\frac{EM}{EG}$ = $\frac{EL}{EF}$ , and substituting values

$\frac{16}{5x+2}$ = $\frac{28}{126}$ ( cross- multiply )

28(5x + 2) = 2016 ( divide both sides by 28 )

5x + 2 = 72 ( subtract 2 from both sides )

5x = 70 ( divide both sides by 5 )

x = 14

Thus

EG = 5x + 2 = 5(14) + 2 = 70 + 2 = 72

Hence

MG = EG - EM = 72 - 16 = 56

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2 years ago

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

$=\sqrt{11^2+11^2}$

$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

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3 years ago

4. Tell whether the systems have one solution,

hjlf

Answer:

x= 2,

,y = 5

Step-by-step explanation:

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = 5x - 5

// Plug this in for variable y in equation [2]

[2] -4x + 2•(5x-5) = 2

[2] 6x = 12

// Solve equation [2] for the variable x

[2] 6x = 12

[2] x = 2

// By now we know this much :

x = 2

y = 5x-5

// Use the x value to solve for y

y = 5(2)-5 = 5

Solution :

{x,y} = {2,5}

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1 year ago

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago