In the diagram below, lines x and y are parallel. What is the relationship between angle b and e? Write an equation if it help

Answer:

a. 61.92 in²

b. 21.396 ≈ 21.4%

c. $4.71

Step-by-step explanation:

a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out

Area of rectangular piece of stock = 24 in × 12 in = 288 in²

Area of the two circles = 2(πr²)

Use 3.14 as π

radius = ½*12 = 6

Area of two circles = 2(3.14*6²) = 226.08 in²

Amount of waste = 288 - 226.08 = 61.92 in²

b. % of the original stock wasted = amount of waste ÷ original stock × 100

= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%

c. 288 in² of the piece of stock costs $12.00,

Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288

= 1,356.48/288 = $4.71.

Answer:

∡BEN=122

x=17

Step-by-step explanation:

Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.

Once you know that since we know that 180 is the sum of all three angles set an equation like this:

180=29+29+(11x-65)

Take off parentheses since you can't simplify in them.

180=29+29+11x-65

Combine like terms.

180=11x-7

Solve for x.

187=11x

x=17

Plug that in to (11x-65) to find angle BEN

angle BEN = 11(17)-65

angle BEN=122

Answer:

The bottom left option

Step-by-step explanation:

The answer is equal to 44.

Answer:

bottom left

Step-by-step explanation:

Answer:

Constant of proportionality [tex] = \frac{1}{400} [/tex]

Step-by-step explanation:

A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall

The area of the wall determines the amount of paint needed to cover the wall.

Constant of proportionality, k = y/x.

Any given pair cam be used as y and x to find k.

Thus, using (100, ¼),

[tex] k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100} [/tex]

Constant of proportionality [tex] = \frac{1}{400} [/tex]

This means that as area of the wall increases, amount of paint increases and the ratio between them would always be [tex] \frac{1}{400} [/tex].

Answer:

473 tickets

Step-by-step explanation:

8,500/18=472.2222222 but, since you can’t sell only part of a ticket, you’ll round up to get 473 tickets.

Answer:

Well, we need a definition or length/width of the figure of it first, let me see what I can find, I'll leave it in my replies.

Step-by-step explanation:

so basically the writing says to draw the lines indicated by arrows and include the markings on the last one because they indicate that all the sides are equal in length  

;P hope this helps!

Answer:

50 mph

Step-by-step explanation:

300 / 6 = 50

you can check this by setting up the equation,

6 x 50 = 300

So with this being said, you can conclude that your parents are driving a 50 miles per hour.

Answer:

9

Step-by-step explanation:

Answer:

s=-1.5

Step-by-step explanation:

We need to isolate the variable.

1. Subtract 4.5s from both sides

2. We now have the equation -4s+1=7

3. Subtract 1 from both sides

4. -4s=6

5. Divide both sides by -4

6. The answer would be s=-1.5

Answer:

58586

Step-by-step explanation:

gckhgcklghckhgchkc

Answer:

t is not proportional because the price of of 1 chicken wing is not the same for each quantity ordered.

Step-by-step explanation:

Answer:

It is not proportional because the price of 1 chicken wing is not the same for each quantity ordered

Step-by-step explanation: i just got it right on the iready quiz

Answer:

(1,7)

Step-by-step explanation:

SImply replace x by (1) in the expression to find the value of h:

h(1) = 4 (1) + 3 = 4 + 3 = 7

so for x = 1, h is 7 , which is written as: (1, 7)

Answer:

0.25 or b is the correct answer

Answer:

im not sure but I think its 40

Step-by-step explanation:

bc 3/4 is $30 so 4/4 is an hour then she each would be $10 so 1/4 is 10 then 2/4 is 20 then 3/4 is 30 then 4/4 is 40

Answer:

$40 per hour

Step-by-step explanation:

I hope this helps!

Answer:

the top empty box is 5 the second down box is 4 the box under 6 is 8

Step-by-step explanation:

Answer:

2.10 is greater than 2.09

Step-by-step explanation:

because 2.10 has more equation than 2.09

Answer:

2.10 is GREATER than 2.09 so **TRUE**

Step-by-step explanation:

hope this helps </3

Answer:

8x^6-27y^6

Step-by-step explanation:

simplify the expression

Answer:

Yes

Step-by-step explanation

6:3 multiply by 3 is equal to 18:3

Answer:

Yes

Step-by-step explanation:

This is because 6x3 is 18 for the 18:3 and 1x3 is 3 in the 18:3. You can also think it this way, 18/3 and 6/1 if you divide both you get an answer of 6 so they both are the same meaning making them equivalent

Answer:

I would say that shape E  and A has symmetry.

Step-by-step explanation:

The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.

If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.

Answer:

10 i sqrt 2

Step-by-step explanation:

i indicates that it is an imaginary number. this is because 200 is negative.

The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.

The given square root number is √-200.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Here, 200 = 2×2×2×5×5

Thus, √-200=√-2×2×2×5×5

=2×5×i√2

= 10i√2

Therefore, the correct answer is option D.

To learn more about the square root of a number visit:

https://brainly.com/question/8971086.

#SPJ6

Answer:

13,000 ft.

Step-by-step explanation:

X -------10960----------C---------------D---------------Y

The entire race (from X to Y) is 7 miles.  There are 5,280 ft. in one mile, so 7 miles is 36960 ft.

If we subtract 10,960 from 36,960, then we get the distance from C to Y.

36960-10960 = 26000

They tell you D is at the midpoint between C and Y

So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.

26000/2 = 13000

The checkpoints are C and D, so the distance between them is 13,000 ft.

Answer:

∠EBF = 51°

∠DBE = 17°

∠ABF = 141°

∠EBA = 90°

∠DBC = 107°

∠DBF = 68°

Step-by-step explanation:

Hope this helps

Answer:

1.

a. m<EBF = 90 - 39 = 51

b. m<EBA = 90

c. m<DBE = 90 - 73 = 17

d. m<DBC = 90 + 17 = 107

e. m<ABF = 90 + 51 = 141

f. m<DBF = 17 + 51 = 68

2.

<ABD, <DBE, <EBF, <FBC, <DBF

3.

<ABF, <DBC

4.

<ABE, <EBC

Answer:

Given that m∠DEF = 142, m∠GEF = (9x - 8)°, and m∠DEG = (3x + 6),

GEF + DEG = DEF

[tex]9x - 8 + 3x + 6 = 142\\\\12x - 2 = 142\\\\12x = 144\\\\x = 12[/tex]

Answer:

1.66666666667

Step-by-step explanation:

Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!

Step 1: Collect like terms.

(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])

Step 2: Simplify.

5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

~I hope I helped you! :) Good luck!~

Answer:

Step-by-step explanation:

Here you go mate

step 1

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  equation

step 2

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  simplify

3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)

step 3

3y+6+2y+(-3)+-6y^2+7y^2+(-4)  combine the terms that are alike

step 4

(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))

answer

y^2+5y+−1

Answer:

y=[tex]\frac{1}{4}[/tex]x+3

Explanation:

you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope