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snow_tiger [21]
3 years ago
11

Find the number of sides of a regular polygon with each interior angle equal to 157.5°. The regular polygon has sides.

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0
The interior angle plus the exterior angle totals to 180 so you would take 180 and subtract 157.5 and get 22.5
next you would take 360 for the total of degrees that he external angles totals up to.
so 360 divided by 22.5 equals the number of sides you shape has and that would be 16 sides.
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25° 35° to 205° circle ​
Lisa [10]

Answer:

x = 60

Step-by-step explanation:

the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

The sum of the arcs in a circle = 360° , then

intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°

then

x = \frac{1}{2} (95 + 25 ) = \frac{1}{2} × 120 = 60

3 0
2 years ago
I need the answer because I can’t i need help
Free_Kalibri [48]

Answer:

3\frac{3}{4} , 4\frac{1}{4} , 4\frac{1}{2} (two x's on this spot), 5

Step-by-step explanation:

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notice point B and E are the same

3\frac{3}{4} , 4\frac{1}{4} , 4\frac{1}{2} (two x's on this spot), 5

I believe the bottom left shows the right answer

7 0
3 years ago
If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

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6 0
3 years ago
The amount of interest accrued on<br> a $7,000 loan with 6% interest after t years.
Misha Larkins [42]

Answer:

$420t

Step-by-step explanation:

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Time= t years

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Simple interest= 42000t/100

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6 0
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anzhelika [568]
Answer: y=2x-3 . . . .
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3 years ago
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