An ant starts at the center (C) and walks along the edge of the figure, ending back at the center of the circle. How far did the ant walk?
90°
c
20 in.
OA.
125.7 in.
B.165.7 in.
C. 54.2 in.
OD. = 94.2 in.
OE. 134.2 in.

Answer:

170

Step-by-step explanation:

35 x 3cars= 105  13 x 5hours= 65      105+65= $170

Step-by-step explanation: Do You Want Me To Find All The Values ?

Parallel lines intersected by a common transversal form 8 angles

The required values of y and x are;

The reasons why the above values are correct are given as follows:

Given the lines are parallel lines cut by a common transversal, we have;

Angles with measure (2·y - 1)° and (9·x - 38)° are same side interior angles

Angles with measure (4·x + 23)° and (2·y - 1)° are alternate interior angles

Which gives;

(2·y - 1)°+ (9·x - 38)° = 180°...(1)

(4·x + 23)° = (2·y - 1)°...(2)

From equation (1), we get;

y = 109.5 - 4.5·x

From equation (2), we get;

y = 2·x + 12

The common solution is given by; 109.5 - 4.5·x = 2·x + 12

From 109.5 - 4.5·x = 2·x + 12, we get;

x = 15,  

6) (9·x + 42)° and 15·x° are vertical angles, and therefore are equal

(9·x + 42)° = 15·x°

∴ x = 7

(4·y - 13)° and (9·x + 42)° are supplementary, therefore

(4·y - 13)° = (9·x + 42)°, which gives;

(4·y - 13)° = (9×7 + 42)° = 105°

7) (3x + 11) + (x + 21) = 180

∴ x = 37

(14·y - 4)° = 3x + 11 = 3 × 37 + 11 = 122°

8) (13·x - 33) = 10·x

∴ x = 11

10·x + 5·y = 180

10 × 11 + 5·y = 180

[tex]y = \dfrac{70^{\circ}}{5} = 14^{\circ}[/tex]

9) (27·x + 4) + (8·x + 1) = 180

∴ x = 5

y + 10 = 8·x + 1 = 8 × 5 + 1 = 41

y = 41 - 10 = 31

10) 16·x - 4 = 9·x - 6 + 58 = 9·x + 52

7·x = 56

x = 8

11) (6·x - 58)° + (x + 8)° = 90°

7·x - 50 = 90

7·x = 90 + 50 = 140

[tex]x = \dfrac{140}{7} = 20[/tex]

12) 7·x - 7 = 3·x + 45°

4·x = 52

[tex]x = \dfrac{52}{4} = 13[/tex]

x = 13°

(3·x + 45)° + 63° + (y - 6)° = 180°

(3×13 + 45)° + 63° + (y - 6)° = 180°

147 + (y - 6)° = 180°

Learn more about the angles formed between parallel lines here:

https://brainly.com/question/17477121

https://brainly.com/question/8692265

https://brainly.com/question/17931911

I think we're missing part of your question. The expression for cost for the first company will be:

5995 + 175.5x, where x is the number of tons of sugar

and the expression for the cost for the second company is:

6500 + 150.25x

Please feel free to comment with the rest of the question and I'll happily help if I can.

Answer:

The width of the frame is 2 inches

Step-by-step explanation:

The given dimensions of the picture = 7 inches by 7 inches

The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²

The area of the given picture and the frame, A₂ = 81 square inches

Let 'w' represent the width of the frame and whereby the picture is a square, we have;

The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)

A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²

49 + 14·w + w² - 81 = 0

w² + 14·w - 32 = 0

(x + 16)·(x - 2) = 0

∴ x = -16 or x = 2

Given that 'x' is a natural number, we have;

The width of the frame, x = 2 inches.

Answer:

Length of one side is 8 units

Step-by-step explanation:

Given

The centre of this square is positioned at the origin as visible form the four co-ordinates

All the four co-ordinates are such that they are 4 units along the x-axis and 4 units along the y-axis.

Let us take the following two co-ordinates - (4,4),(4,−4). The X value for these two co-ordinate points is 4 and the Y values are such that one point has y = 4 and the other has y = -4 i.e 8 units in between.  

Thus, length of one side is 8 units.  

Answer:Im not sure maybe 3

Step-by-step explanation:

Answer:

Randomized block design

Step-by-step explanation:

In the scenario described above, the subjects which are the different car types are grouped into fixed units of 4 called blocks with each unit then assigned randomly to a particular treatment condition, which are the 4 different types of tire. In the end, the mean mileage for each block is taken and compared to that of the other blocks. This type of research design improves the reliability of the result obtained as it also eliminates the occurrence of systematic error in the course of our experiment.

Answer:

628 possible passwords.

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.

Answer:

p<32

Step-by-step explanation:

[tex] \rm \rightharpoonup \: \frac{ - 1}{2}p < - 16 \\ \rm \rightharpoonup \: p < - 16 \times - 2 \\ \rm \rightharpoonup \: p < 32[/tex]

Answer:

A is the answer got it right on quiz

Answer:

Step-by-step explanation:

let the fraction be x denominator and x-2 be its numerator

according to question

5/6=x-2/x

do cross multiplication

6(x-2)=5x

6x-12=5x

6x-5x=12

x=12

therefore the fraction is

x-2/x

12-2/12

10/12

Answer:

f(x) = 34,500 × (1.032)^x

Step-by-step explanation:

Just completed the test and copied the answer directly from the review.

Answer:

Step-by-step explanation:

You can use the general expression as:

K = 1/2mv²

With your data:

K = 1/2(0.145)(40)²=

Answer:

x = 25.3

Step-by-step explanation:

83.49 = 3.3x

divide both sides by 3.3

x = 25.3

Answer:

Step-by-step explanation:

since RS || VU   ( parallel to )   then the angle V is equal to ∠ VRS , also we are given that ∠VRT = 71°  so subtract  ∠VRT from ∠VRS

103° - 71° = 32°

so ∠TRS = 32°

next find ∠U,  we know that ∠U + ∠VRT= 180°  ( b/c they are supplementary )

we are also told that  ∠VRT = 71°

∠U = 180 - 71

∠U = 109°

Since RS || VU (parallel to) then the angle V is equal to VRS, also we are given that VRT = 71°

So subtract VRT from VRS,

103° -71° = 32°

So, TRS = 32°

next find U, we know that ZU + ZVRT= 180° (b/c they are supplementary)

We are also told that <VRT = 71"

U = 180° - 71°

U = 109° is the answer.

Answer:

Cadence has 18 more green eyed dolls

Step-by-step explanation:

1. 52-16=36

2. 36÷2=18

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Rhythm has an assortment of 52 dolls that all have either blue-eyes or green-eyes. Rhythm has 16 additional blue-looked-at dolls than green-peered dolls.

Let 'x' be the number of blue-eyes dolls and 'y' be the number of green-eyes dolls. Then the equations are given as,

x + y = 52           ...1

x = y + 16           ...2

From equations 1 and 2, then we have

y + 16 + y = 52

2y = 52 - 16

y = 36 / 2

y = 18

The value of x is given as,

x = 18 + 16

x = 34

The number of dolls that have blue eyes and green eyes will be 34 and 18, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

z = -5/4

Step-by-step explanation:

divide both of the sides by -8

z = -10/8

then you would simplify 10/8 to 5/4

z equals -5/4

Answer:

7 x 7 x 8 = 392

15 x 7 x 7(14 - 7) = 735

735 + 392 = 1,127 in^3 is your answer.

Let's split the figure:

Answer: 0 = 23

Almost positiveee :))

Step-by-step explanation:

Answer:

The difference is 6.74 * 10^-3 centimeters

Step-by-step explanation:

Firstly, we need to write the numbers as they would occur normally

we have this as;

7.65 * 10^-3 = 0.00765

9.1 * 10^-4 = 0.00091

So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number

we have this as;

0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters

Answer:

Ans is 59

Step-by-step explanation:

46 +51+y=180 (sum of triangle)

y=180-46-51

y=83

now,

83+x+38=180

x=180-83-38

x=59

value of x is 59

Answer:

[tex]\sqrt{45} /3[/tex] = [tex]\sqrt{5}[/tex] = 2.236

b/c [tex]\sqrt{45} /3[/tex] = [tex]\sqrt{45} /\sqrt{9}[/tex] = [tex]\sqrt{45/9}[/tex] = [tex]\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{45/3}[/tex] = [tex]\sqrt{15}[/tex] = 3.873

Answer:

It's B.

Step-by-step explanation:

Answer:

133 windows in 7 hours

Step-by-step explanation:

38 divided by 2 and you get 19

19 x 7 = 133

Answer:

133 windows

Step-by-step explanation:

First, you would want to find how many windows he can clean in 1 hour.

You know that 38 windows = 2 hours.

To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.

Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.

Answer:

20/9

Step-by-step explanation:

5+4=9

4×5=20

I think. I'm a little rusty. hope this helps

Answer:

20/9

Step-by-step explanation:

u gotta pay more attention in class this was an easy question

Answer:

x = 25

Step-by-step explanation:

The angles in a triangle must add up to 180 degrees, so:

180 - (53 + 27) = 100

100 ÷ 4 = 25

Step-by-step explanation:

[tex] \sin(20 \degree) = \frac{3}{AB} \\ AB = \frac{3}{ \sin(20 \degree) } \\ AB = \frac{3}{0.342} \\ AB = 8.77[/tex]

Answer:

Use this to get the area of any circle A = π r²

Step-by-step explanation:

I guess the upper circle has a radio of 10.5 m, then you multiply it by itself and you get that 10.5^2=110.25, and to that you add "π", and the area would be this "110.25π m."

And the other one is 7^2π=49π

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5