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4 years ago

-8 -5 + 9h - 2f using h = 7 and f =9 ?

Mathematics

1 answer:

kherson [118]4 years ago

7 0

The equation would be -8 - 5 + 9(7) - 2(9) --> -13 + 63 - 18 = 32

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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 slope-intercept form of the equation of the line passing through the given points. (1, 1), (7, − 1 4 )

Serga [27]

Slope = (-14-1)/(7-1) = -15/6

y = mx + c
y = -15/6 x + c
at (1,1)
1 =-15/6(1) + c
c = 1 + 15/6 = 21/6

y = -15/6 x + 21/6 or
6y = -15x + 21

6 0

3 years ago

Select all that apply.

Marat540 [252]

Answer:

Step-by-step explanation:

36 = 6 x 6

16 = 4 x 4

25 = 5 x 5

All others are not square

6 0

3 years ago

X equals ??????????

Ymorist [56]

Answer: x = 18

explanation: the two angles are congruent bc so you can set the equation up as 9x - 40 = 5x + 32 and then solve for x

hope this helps :)

7 0

3 years ago

I need to know the answer

guapka [62]

9! good luck skdjdjd

4 0

3 years ago

Read 2 more answers