What is the sum of the measurements of all the angles in a polygon with k sides?

Answer: D

Step-by-step explanation:

Answer:

[tex]6x^{2}+10x-12[/tex]

Step-by-step explanation:

Answer:

I believe it is:

Since △AEC~△ADB according to the angle-angle similarity postulate, then 9(x+y)=3x9(x+y)=3x.

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 20.28 cm^2

Explanation:

First find the area of the square!

7 x 2 = 14

then find the area of the circle!

We know that the DIAMETER of the circle is 4 because the total length of the square is 7 cm and there are 3cm of length on the sides of the circle

so 7-3 = 4

Then to find the area of a circle you need to use this formula:

r = radius

A = 3.14r^2

3.14(2)^2 = 12.57

Then you need to divide it by TWO because its a half circle!

12.57 / 2 = 6.285

14 + 6.285 = 20.28 cm^2

I hope this helped!

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- Zack Slocum

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Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

Answer:

5(2x + 4) = 10(x + 2)

Step-by-step explanation:

answer is 0 so it has infinite solutions

9514 1404 393

Answer:

  152°

Step-by-step explanation:

If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.

The measure of each angle in the other congruent pair is 152°.

Answer:

She will need 17 flats and will have 1 plant left over.

Step-by-step explanation:

six can go into 103 17 times, with a remainder of one.

Step-by-step explanation:

there are 3 ways to solve SAS triangle

first figure out [tex]\angle C [/tex]

to do so we will use the formula of law of cosine of C angle

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]

substitute the given values of a,b and [tex]\angle C[/tex]

[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]

simplify squares:

[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]

simplify addition:

[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]

square root both sides

[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]

simplify:

therefore

[tex]\bold{c=3.23}[/tex]

use law of sine to figure out angle A

[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]

therefore

[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)

therefore

[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]

[tex]\bold{= 100.64}[/tex]

Answer:

Angle BAC = 62.35

Step-by-step explanation:

Here, we want to get the angle marked BAC

From the diagram, we have the angle ABC as 90

This is because angle at the center is twice the angle at the circumference

Furthermore, using the arc angle relationship;

angle ACB is half arc AB

so ACB angle is 55.3/2 = 27.65

mathematically;

Angle BAC + 27.65 + 90 = 180

This is because sum of angles in a triangle is 180

Thus;

angle BAC = 180-90 - 27.65

angle BAC = 62.35

Answer:

y = -x+4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 4-3)/(0-1)

   = 1 /-1

  = -1

The y intercept is (0,4) or 4

The slope intercept form is

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

y = -x+4

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

Answer:

m^3 + 3m, I simplified.

Answer:

40%

Step-by-step explanation:

We would use an example

assume the price of the radio is 100

After the initial price reduction, it would be worth (100 - 20%) 80% of the price

0.8 x 100 = 80

After second price reduction it would be worth (100 - 25% ) 75% of the price

0.75 x 80 = 60

Price change = (new price after all the discounts / original price) - 1

(60/100) - 1 = -0.4

Answer:

16 9/20 years old

Step-by-step explanation:

Leo is 13 3/ 4 years old.

Step 1

Sheila is 1 1 /2 years older than Leo

Sheila = 13 3/4 years + 1 1/2 years

13 + 1 + ( 3/4 + 1/2)

Lowest common denominator 4

14 + ( 3 + 2/4)

14 + 5/4

= 14 + 1 1/4

= 15 1/4 years old

Jane is 1 1/ 5 years older than Sheila.

Jane's age = 15 1/4 years old + 1 1/5 years

15 + 1 + (1/4 + 1/5)

Lowest common denominator = 20

16 + (5 + 4/20)

16 9/20 years old

Therefore, Jane is 16 9/20 years old

Answer:

I think C. because that will be easier and less chaotic

Answer:

64 degrees

Step-by-step explanation:

Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees

so first, combine 90 and 26 degrees

90+26= 116

then subtract 116 from 180

180-116= 64 degrees

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC  7(15)+6    105+6=111

SC   6(15)-3      90-3 = 87

111-87 = 24

Answer:

10π

Step-by-step explanation:

Since ME is the diameter of the circle,

angle MTE = 90° (∠ in semicircle)

By pyth. theorem we can obtain,

ME = √8² + 6²

ME = 10

The diameter of the circle is 10

The circumference of circle D is 10π

Answer:

<MTE =90°

the inscribed angle from the diameter is 90°

in triangle MTE

MT=8 unit

TE=6unit

by using Pythagoras law

D=ME=√(8²+6²)=10 unit

radius =D/2=10/2=5unit

circumference of circle D=2πr=2π×5=10π or31.4unit

Answer:

no it is not able to be factored

Answer:

5

Step-by-step explanation:

5

Answer:

54, 32, 76, 72, 68, 29, 24,

Step-by-step explanation:

Answer:

12 drawings

Step-by-step explanation:

Here is the question used in answering this question ;

Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours?

to determine the answer, divide 2 hours by 1/6 hour

2 ÷ [tex]\frac{1}{6}[/tex]

2 x 6 = drawings

Answer:

c=2(3.14)r

r= 5inches

c=2•3.14•5

c=31.4 inches

Answer:

$20070

Step-by-step explanation:

Given data

Time= 5 years

Principal= $15,000

Rate= 6%

Total amount=  P (1 + i)^t

substitute

Total amount=  15000(1 + 0.06)^5

Total amount=  15000 (1.06)^5

Total amount=  15000*1.338

Total amount=  $20070

Hence the total amount will be $20070