PLS HELP ME PLSSSS WHATS THE ANSWER

The interior angle sum of a convex polygon is 1,980°.

LenaWriter [7]

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n° = 1980° + 360°

= 2340

To find n, divide by 180 which is the coefficient of n

n = ²³⁴⁰/₁₈₀

= 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

³⁶⁰/n

= ³⁶⁰/₁₃

= 27.69⁰

8 0

3 years ago

yuko is volunteering at the food bank. He is creating thanksgiving food baskets to give to local families. He has 192 cornbread

Deffense [45]

Answer:

32 baskets
2 boxes of stuffing mix, 3 cans of vegetables, 6 cornbread muffins

Step-by-step explanation:

The greatest common factor (GCF) will be the greatest number of baskets yuko can create. We can examine the factoring of these numbers to see what it might be.

64 = 2^6

96 = 2^5 × 3

192 = 2^6 × 3

The unique factors are 2 and 3, and the lowest powers of each are 5 and 0, respectively. Then the GCF is ...

2^5 × 3^0 = 32 × 1 = 32

After the factor of 32 is removed from each of these numbers, we have ...

64 = 32·2 boxes of stuffing mix

96 = 32·3 cans of vegetables

192 = 32·6 cornbread muffins

These other factors are the numbers of the corresponding item that will be in each of the 32 baskets:

2 boxes of stuffing mix
3 cans of vegetables
6 cornbread muffins

6 0

3 years ago

Can i please get help with these

Kryger [21]

Answer:

7. x=3, 8. x=7, 9. x=15.

Step-by-step explanation:

7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3

8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.

9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.

Hope this helps!

8 0

2 years ago

The graph of the quadratic function y=-x^2-2x+3 is shown below

Karolina [17]

Answer:

The axis of symmetry is at $x=-1$