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3 years ago

Please helpp!

Mathematics

1 answer:

strojnjashka [21]3 years ago

4 0

Answer:

2 $\frac{7}{9} \\$

Step-by-step explanation:

-(2/9) + 3

= 27/9 - 2/9

= 25/9

= 2 $\frac{7}{9} \\$

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Need to find what x and y equals

dexar [7]

The two angles with x in them are the same. Set them equal to each other and solve for x:

4x-5 = 3x + 11

Add 5 to both sides:

4x = 3x +16

Subtract 3x from both sides:

x = 16

Now solve for the angle next to y:

4x - 5 = 4(16) -5 = 64 -5 = 59

Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:

y = 180 - 59 = 121

Answers:

X = 16, y = 121

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3 years ago

Geometry Question attached below

Soloha48 [4]

I'm sure there's an easier way to do this, but this method does work:

First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

$1^2+3^2=A F^2\implies A F=\sqrt{10}$

and in triangle BCG,

$2^2+3^2=BG^2\implies BG=\sqrt{13}$

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

$m\angle EFG=\tan^{-1}3$

Similarly, angles BGC and FGE are congruent and have measure

$m\angle FGE=\tan^{-1}\dfrac32$

Then the remaining angle in triangle EFG has measure

$m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32$

We can solve for the lengths of FE and GE exactly by applying the law of sines:

$\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}$

$\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3$

Let $s$ be the semiperimeter of triangle ABE, so that

$s=\dfrac{AB+BE+EA}2$

Then according to Heron's formula, the area of triangle ABE is

$\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2$

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I believe it would be 8 km in five miles. I hope this helped ^^

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3 years ago

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muminat

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