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3 years ago

5/15 in simplest form please someone

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

Oksana_A [137]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

5/15

= (5÷5)/(15÷5)

= 1/3

So, 1/3 is the simplest form.

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8-35. Use your knowledge of polygons to answer the questions below, if possible.

Nataliya [291]

Answer:

(a)I. 13 Sides II. 7 Sides

(b) 4 Sides, Square

(c)x=52 degrees

(d)x=107 degrees

(e)1620 degrees

Step-by-step explanation:

(a)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

I. If the Interior angle is $1980^0$

Then:

$(n-2)180^0=1980^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=11\\$Add 2 to both sides of the equation\\n-2+2=11+2\\n=13$

The polygon has 13 sides.

II. If the Interior angle is $900^0$

Then:

$(n-2)180^0=900^0\\$Divide both sides by 180^0 $ to isolate n$\\n-2=5\\$Add 2 to both sides of the equation\\n-2+2=5+2\\n=7$

The polygon has 7 sides.

(b)The sum of the exterior angle of a polygon is 360 degrees,

Each exterior angle of a n-sided regular polygon is: $\frac{360^0}{n}$

If the exterior angle of a regular polygon is 90°

Then:

$90\°=\frac{360^0}{n}\\ 90n=360\\n=4$

The regular polygon has 4 sides and it is called a Square.

(c)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

Each Interior angle of a regular n-sided polygon is: $\frac{(n-2)180^0}{n}$

For a pentagon, n=5

Then:

$\frac{(5-2)180^0}{5}=2x+4\\108=2x+4\\108-4=2x\\104=2x\\x=52^0$

(d)The sum of the exterior angle of a polygon is 360 degrees.

If four of the exterior angles of a pentagon are 57, 74, 56, and 66.

Let the fifth angle=x

Then:

$57+74+56+66+x=360^0\\253+x=360\\x=107^0$

(e)The Sum of the Interior angle of polygon with n sides is derived using the formula: (n-2)180.

In an 11-gon., n=11

Therefore, the sum of the interior angle=(11-2)180= $1620^0$

The sum of the interior angle does not change either in a regular or irregular polygon.

3 0

3 years ago

Find the equation of the graphed line.

belka [17]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y = \dfrac{5}{2}x + 5\bigg) \ is \ correct }}}$

<h3>Step-by-step explanation:</h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

$\large\boxed{\orange{\bf y = mx + c} }$

We know that slope is $\tan\theta$ . So here slope will be ,

$\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}$

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

$\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}$

<h3>Hence option [ d ] is correct . </h3>

4 0

3 years ago

All the positive integers excluding O are known as

TEA [102]

Answer: Natural Numbers

Step-by-step explanation:

4 0

3 years ago

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Jacob's father is 54 years old. His age is 6 years more than three times Jacob's age. Write a math sentence to determine Jacob's

Mandarinka [93]

Twentyfo is the answa

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3 years ago

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B^5 c^8+b^3 c^2 in exponential form

Oksanka [162]

If u man just simplifying it
B^8+c^10 (just add exponents)

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3 years ago

5/15 in simplest form please someone​

5/15 in simplest form please someone