suris age is 4 less than 3 times her cousins age. suri is 17 years old. which method can be used to find c, her cousins age?

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

If y=8x what is the slope and y intercept?

Tanzania [10]

Answer:

The slope is 8 and the y intercept is 0

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 8x+0

The slope is 8 and the y intercept is 0

5 0

3 years ago

Read 2 more answers

The weight of a nickel is 80% of a quarter. If a nickel weighs 5 grams how much does a quarter weigh?

muminat

Answer:

Weight of a quarter = 6.25 grams

Weight of a dime = 2.5 grams

Step-by-step explanation:

The weight of a nickel is 80%

The weight of a quarter or the weight of a nickel is 5 grams or weight of a quarter =50.8 = 6.25 grams

Weight of a dime = 50% = 12 (weight of nickel) = 52 = 2.5 grams

8 0

3 years ago

Plz do this ill mark brainly and its worth 15 points plz

Vlada [557]

Answer:

Step-by-step explanation:

9. discount is 9 dollars. sale price is 36 dollars

10. discount is 135 dollars sale price is 315

11. discount is 7.20 dollars, sale price is 41.80

12. discount is 37.50. sale price is 112.50

13. discount is 590. sale price is 870

14. discount is 42. sales price is 42

15. discount is 32.50. sales price is 292.50

16. discount is 29.75. sales price is 56.25

17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease

3 0

3 years ago

Read 2 more answers

Pythagorean Theorem:a2 + b2 = c2 Re−write the formula solving for b2 .

gulaghasi [49]

Answer: c2 - a2 = b2

Step-by-step explanation: to isolate b2 you have to subtract a2 from both sides to get c2 - a2 = b2

6 0

3 years ago