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2 years ago

What is the name of the regular polygon that measures 140ﾟ

Mathematics

1 answer:

andrezito [222]2 years ago

5 0

Answer:

The regular polygon is a nonagon

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the name of the regular polygon that each interior angle measures 140ﾟ?

we know that

The formula to find the sum of the interior angles in a regular polygon is equal to

$n(a)=(n-2)180\°$

where

n is the number of sides of the regular polygon

a is the measure of each interior angle of the regular polygon

we have

$a=140\°$

substitute in the formula and solve for n

$n(140\°)=(n-2)180\°$

$140n=180n-360$

$180n-140n=360$

$40n=360$

$n=9\ sides$

The regular polygon has 9 sides

therefore

The regular polygon is a nonagon

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hat is the rectilinear distance betweenâ€‹ (âˆ’3, âˆ’6) andâ€‹ (14, âˆ’2)? A. 3 B. 21 C. 25 D. 18.79 E. 7 F. 15

Fofino [41]

Answer:

F. 15

Step-by-step explanation:

To obtain the rectilinear distance between :

(3, 6) and (14, 2)

x1 = 3 ; x2 = 14 ; y1 = 6 ; y2 = 2

(3, 6), (14, 2)

USing the Rectilinear distance formula :

|X2 - x1 | + |y2 - y1 |

| 14 - 3 | + |2 - 6 |

|11 | + |- 4 |

11 + 4

= 15

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2 years ago

Which of the following is the result of the equation below after completing the square and factoring? x^2-4x+2=10

Tamiku [17]

9514 1404 393

Answer:

B. (x-2)^2=12

Step-by-step explanation:

The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.

There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.

x^2 -4x +2 = 10 . . . . . . . given

x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)

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3 years ago

U can help me with this

zvonat [6]

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3 years ago

What is y=3x^2-2 in vertex form

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$\bf \qquad \qquad \textit{parabola vertex form}
\\\\\\
y=a(x-{{ h}})^2+{{ k}}\\
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-----------------------------\\\\
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3 years ago

Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t

stira [4]

Answer:

Option A - The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function $d(t)=81t$

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

Distance traveled by Train B in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.

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2 years ago