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4 years ago

A. ∠2 B.∠5 C.∠4 D.∠3

Mathematics

1 answer:

Shkiper50 [21]4 years ago

6 0

The answer is D.∠3
If you use a proctor you can see they measure the same

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SOLVE FOR X!! (will mark brainliest)

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Answer:

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

5x-5=90

5x=95

x=19

By solving this we find that x is equal to 19.

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3 years ago

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A Surface or shape that is or could be exposed by making a straight cut through something. I hope this helps

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3 years ago

A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate o

astraxan [27]

Answer:

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

$v -u = \frac{\Delta x_{1}}{\Delta t_{1}}$

With the wind

$v +u = \frac{\Delta x_{2}}{\Delta t_{2}}$

Where:

$v$ - Speed of the jet in still air, measured in miles per hour.

$u$ - Speed of wind, measured in miles per hour.

$\Delta x_{1}$ , $\Delta x_{2}$ - Distances travelled by jet against the wind and with the wind, measured in miles.

$\Delta t_{1}$ , $\Delta t_{2}$ - Times against the wind and with the wind, measured in hours.

By adding both expressions:

$2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}$

$v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)$

Given that $\Delta x_{1} = 2301\,mi$ , $\Delta t_{1} = 3\,h$ , $\Delta x_{2} = 2811\,mi$ and $\Delta t_{2} = 3\,h$ , the speed of the jet is:

$v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)$

$v = 852\,\frac{mi}{h}$

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

$u = \frac{\Delta x_{2}}{\Delta t_{2}}-v$

$u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}$

$u = 85\,\frac{mi}{h}$

The rate of the wind is 85 miles per hour.

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3 years ago

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Step-by-step explanation:

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