You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 25 feet wide by 20 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 30 feet, how much rope are you going to need?

m<1 = m<4 by vertical  angles theorem

3x + 10 = 4x - 15

-1x = -25

x = 25

m<1 + m<7 = 180 if parallel alternate interior angles supplementary

3x + 10 + m<7 = 180

3(25) + 10 + m<7 = 180

75 + m<7 = 180

m<7 = 105°

Hope this helps! ;)

Answer:

Its D on e2020

Step-by-step explanation:

trust me

Answers are rectangle, rhombus and parallelogram respectively.

Step-by-step explanation:

If x is doubled, then y is also doubled

Solution:

Given that,

Two quantities x and y are directly proportional

For a direct proportion,

If x increases then y increases

If x decreases then y decreases

Given that, x is doubled

Then y will also gets doubled

Also,

x and y are directly proportional

[tex]y \propto x\\\\y = kx[/tex]

Where k is the constant of proportionality

If x is doubled then,

y = k(2x)

y = 2(kx)

Thus y is also doubled

Answer:

its doubled

Step-by-step explanation:

if its doubled then its doubled

The answer is 130. I did the quiz and got it right.

I really hope this ends up helping you. You got this!

The measure of ∠GDC is 130° as it is calculated by subtracting the arc GEC's measure from the total degrees in a circle, which is 360°.

If the measure of arc GEC in circle D is 230°, to find the measure of ∠GDC,

we recall that the measure of an arc in a circle is equal to the measure of the central angle that intercepts that arc. Since ∠GDC is a central angle intercepting arc GEC, its measure must also be 230°.

However, because we are looking for the measure of the angle inside the circle, we must subtract this angle from the total 360° of the circle.

So,
360° - 230°

= 130°

So, the measure of ∠GDC is 130°.

Answer:

133.33 dollars bc when u divide 133.33 form 55% it's 60 dollars.

Answer:  $299.75

Step-by-step explanation:

Answer:

[tex]Area\ of\ walkway=4x^2+56x\ meter^2[/tex]

Step-by-step explanation:

[tex]Length\ of\ garden=16\ meters\\\\Width\ of\ garden=12\ meters\\\\Width\ of\ walkway=x\ meters\\\\Now\ Length\ of\ new\ rectangular=16+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Now\ width\ of\ new\ rectangular=12+x+x\ \ \ \ \ (as\ x\ meter\ walkway\ increased\ both\ the\ sides)\\\\Area\ of\ walkway=Area\ of\ new\ rectangular-Area\ of\ rectangular\\\\Area\ of\ rectangle=length\times width\\\\Area\ of\ walkway=(16+2x)\times (12+2x)-16\times 12[/tex][tex]Area\ of\ walkway=16\times 12+2x\times 12+16\times 2x+2x\times 2x-16\times 12\\\\Area\ of\ walkway=4x^2+56x\ meter^2[/tex]

To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.

Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:

Therefore, the weight of the box that Kiva's father carries is 60 pounds.

Answer:

[tex] \cos L = \dfrac{4}{5} [/tex]

Step-by-step explanation:

The right angle is angle K. KL and JK are legs. JL is the hypotenuse.

For angle L, KL is the adjacent leg.

In general, for acute angle A of a right triangle,

[tex] \cos A = \dfrac{adjacent~leg}{hypotenuse} [/tex]

In this case,

[tex] \cos L = \dfrac{adj~leg}{hyp} [/tex]

[tex] \cos L = \dfrac{KL}{JL} [/tex]

[tex] \cos L = \dfrac{8}{10} [/tex]

[tex] \cos L = \dfrac{4}{5} [/tex]

Answer:12 x 9

Step-by-step explanation: 600 x 2/100 = 1200/100 = 12

450 x 2/100 = 900/100 = 9

Remember that 100km = 2 units

Draw a rectangle with the dimensions given (600 km by 450 km) to recreate Joel's map of Colorado on the grid. Make sure to align the rectangle's longer side with latitude (horizontal) and shorter side with longitude (vertical).

To recreate Joel's map of Colorado on the grid, we can simply consider the dimensions given of 600 km by 450 km. Draw a rectangle on the grid with one side being 600 units (representing km) and the other being 450 units (representing km). This rectangle will represent Colorado, and you can label it accordingly. Keep in mind that since it's a map, the orientation of Colorado's longer side (600 km) should align with the latitude and shorter side (450 km) should align with the longitude, assuming that the west-east direction is taken as horizontal.

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Answer:

6, 7 or 8 oranges

Step-by-step explanation:

Answer:

18.1621622 or 18.162

Step-by-step explanation:

Answer:

Attached in image below!

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 12 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 12/1

=> y= 12 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

12 > 11.5

which means Jeremy rides at a greater speed.  

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To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.

To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.

Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.

Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.

Yo sup??

let the lenght of one side of the hexagon be y

total perimeter=sum of lenght of all sides=6y

But

perimeter=42x-24

Therefore

6y=42x-24

y=7x-4

Hence the equation of one side is 7x-4

Hope this helps

The answer is 7x-4.

Hope this helped

Answer:

I think it's 100

Step-by-step explanation:

133 + 86 + 41 = 260

360 - 260 = 100

Answer:

hypothesis

Step-by-step explanation:

The statement "if p, then q" is a conditional statement.

p----->is the hypothesis

q----->is the conclusion

This conditional is true if it's hypothesis true and the conclusion is true.

This is just one out three situations for which the conditional is true.

Answer:

is there possibly a photo of the two storage units?

To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]

To find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.

Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]

To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:

Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]

This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.

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A possible number of marbles for this situation is:

Red = 13

Blue = 3

Yellow = 2

How many of each color marble could Jack have?

Let's define the variables:

R = number of red marbles.

B = number of blue marbles.

Y = yellow marbles.

Then we can write:

R = B + 10

Y < B

So we have only these two conditions, now let's find possible values.

If we define B = 3, then:

R = 3 + 10 = 13

Y < 3

Then Y can be 2.

So a possible value is:

Red = 13

Blue = 3

Yellow = 2

Final answer:

The number of each color marble Jack has can be determined by setting the number of blue marbles as a variable. Red marbles are ten more than blue, and yellow marbles are fewer than blue. Specific combinations are possible as long as these conditions are met.

Explanation:

Jack has some marbles. He has ten more red marbles than blue marbles and fewer yellow marbles than blue marbles. To determine how many of each color marble Jack could have, consider blue marbles as the variable x. Then, the number of red marbles would be x + 10 and the number of yellow marbles would be less than x.

Here are a few possible combinations:

If Jack has 1 blue marble, he cannot have 10 more red marbles and fewer yellow marbles as this would result in a negative number of yellow marbles which is not possible.

If Jack has 2 blue marbles, then he would have 12 red marbles (x + 10), and potentially 1 yellow marble since it needs to be less than the number of blue marbles.

If Jack has 3 blue marbles, he would have 13 red marbles, and it could be 1 or 2 yellow marbles.

Thus, the compositions of marbles are dependent on the number of blue marbles Jack has. As long as the number of red marbles is ten more than blue and the yellow marbles are fewer than blue, the condition is satisfied.

Answer:

Step-by-step explanation:

green for 20 seconds

yellow for 5 seconds

red for 25 seconds

total of 50 seconds

P(green) = 20/50 = 2/5

Answer:

infinitely many solutions

Step-by-step explanation:

look at picture

Answer:

E) (-4, -3)

Step-by-step explanation:

To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".

The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.

(-7y) - (-7y)        Try subtracting

= (-7y) + 7y

= 0

Based on this, we should subtract the whole equations.

Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.

.   4x - 7y = 5

-   9x - 7y = -15       Do 4x - 9x = -5x.    -7y - (-7y) = 0.      5 - (-15) = 20.

.    -5x - 0 = 20       "y" cancelled out

.          -5x = 20          Isolate 'x'

.      -5x/-5 = 20/-5       Divide both sides by -5

.              x = -4          Solved x-coordinate

Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.

4x - 7y = 5

4(-4) - 7y = 5         Simplify the multiplication.

-16 - 7y = 5         Start isolating 'y' now

-16 + 16 - 7y = 5 + 16         Add 16 to both sides. Left side cancels out 16

-7y = 5 + 16         Solved right side by adding

-7y = 21

-7y/-7 = 21/-7         Divide both sides by -7

y = -3              Solved y-coordinate

Therefore the answer is (-4, -3).

Answer

11          

 —— = 0.27500

 40          

Answer: 11/40

Step-by-step explanation: 2/5 - 1/8 have to have a common denominator. The common denominator will be 40 so 2/5 = 16/40 1/8 = 5/40. 16-5=11

Answer:

8

Step-by-step explanation:

The pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.

The pool manager pays $54 for the bucket of chlorine tablets and $6.60 for the pH test kit after applying the 40% discount.

Therefore, the pool manager pays $54 for the chlorine tablets and $6.60 for the pH test kit.

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The pool manager pays the cost of  $54 for the chlorine tablets and $6.60 for the pH test kit.

The calculation you're looking to perform is a simple example of a percentage discount on a sum of money. To figure out how much the pool manager pays for each item, you have to first calculate the total cost of the items. The total cost of both the bucket of chlorine tablets ($90) and the pH test kit ($11) is $101.

A 40% discount on the total cost is then calculated by taking 40% of $101, which is $40.40. This discount is subtracted from the total cost (101-40.40), leaving the pool manager to pay $60.60. To determine the cost of each item after the discount, we assume that the discount was applied equally to both items.

This means that the cost price for each the bucket of chlorine tablets and pH test kit, after the discount, would be $54 and $6.60 respectively.

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Answer:

0.00360.

Step-by-step explanation:

Leading zeros in a number are not significant, so your number has four significant figures.

You must drop the 7 from 0.003597.

Since 7 is greater than 5, you must add 1 to the 9

[tex]\begin{array}{r|l}1& \\0.00359 &\text{7}\!\!\!\!\diagup \\\mathbf{0.00360} & \\\end{array}[/tex]

Final answer:

To express 0.003597 to three significant figures, round to 0.00360; in exponential notation, this is 3.60 × 10^-3.

Explanation:

To express 0.003597 to three significant figures, we identify the first non-zero digit as the starting point of significant figures.

We count three digits from there, which gives us 0.00360 when rounding up the seventh which is in the fourth place after the decimal. In exponential notation, this would be 3.60 × 10-3.

Answer:

40=10x+ 6y

Step-by-step explanation:

x representing pounds of turkey

y representing pounds of cheese

[tex]\boxed{y=-2x-5}[/tex]

The slope-intercept form of the equation of a line:

[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]

The given line has the following characteristics:

[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]

So the line we are looking for needs to be:

[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]

So, the equation of the line would be:

[tex]\boxed{y=-2x+3}[/tex]

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Answer:

80

Step-by-step explanation:

40 times 2=80

Have a nice day!!!