18. A glasscutter needs to cut rectangular pieces of
glass to make an aquarium. How can he make sure
that the glass pieces he is going to cut are
rectangular in shape? Justify your reasoning

18. A Glasscutter Needs To Cut Rectangular Pieces Ofglass To Make An Aquarium. How Can He Make Surethat

Answers

Answer 1

For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:

All four interior angles = 90° each.Opposite sides are parallel and equal to each other.Diagonals should be of the same length and should bisect each other.

Properties of a RectangleAll four angles of a rectangle are 90° each.There are two pairs of parallel sides that are equal in length.The diagonals bisect each other and are of equal length.

Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:

Make the four interior angles 90° each.The opposite sides should be parallel and equal to each other.The diagonals should be of the same length and should bisect each other.

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Related Questions

helppppppppppppppp me

Answers

Answer:

I think it is A hope this helps

Step-by-step explanation:

SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops

Answers

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

Find the values of the variables.
isosceles trapezoid
Side measures are: 4, 2x, 2x + 2 and 4x +3
X=

Answers

Answer:

x=-1/2

Step-by-step explanation:

2x+2=4x+3

-1=2x

x=-1/2

2/3 plus 1/4 plzzzzzzzzzzzzzzzzzz

Answers

11/12

Answer:

1. find the least common denominator (LCD) of 2/3, 1/4 in other words, find the Least Common Multiple (LCM) of 3,4

Least Common Multiple (LCM) of 3,4 LCD = 12

Least Common Multiple (LCM) of 3,4 LCD = 122.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x3

Least Common Multiple (LCM) of 3,4 LCD = 122.Make the Denominators the Same As The LCD.2_x_4_ + _1 x 3__3 x 4 4x33. Simplify denominators are Now The Same.

8/12 + 3/12

4. join the denominators

__8+3_____

12

5. Answer 11/12

Btw the Lines are Just For Separating numbers.

The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.

Answers

Answer:

4.62 cm to nearest hundredth.

Step-by-step explanation:

If the parallel sides are x and y then:

x + y = 2*8 = 16

x + y = 16

If we drop a perpendicular line from one of the upper points on the trapezoid we have the height.  Let the upper point be C and the point on the base be A. Let the point on right of the base be B.

AC is the height of the trapezoid.  AB is the baseline of the triangle CAB.

In triangle CAB the angle B is 30 degrees.

As this is a 30-60-90 degree triangle

AC/AB = 1/√3 so AC = AB/ √3.

As the trapezoid is isosceles:

AB = x + 0.5(y - x)

AB = 0.5x + 0.5y

So AC = 1 /√3 (0.5x + 0.5y)

           = 1 /√3 (0.5x + 0.5(16 - x))   (Substituting for x)

            = 1 /√3 (0.5x + 8 - 0.5x)

             =8 / √3    

.              = 4.6188 cm

The table shows the proof of the relationship between the slopes of two parallel lines. What is the missing reason for step 2?

A.
Pythagorean theorem
B.
application of the distance formula
C.
application of the slope formula
D.
transitive property

Answers

B. application of the distance formula

The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As we know,

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

From the graph of two parallel lines:

r ║ s

The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

Learn more about the distance formula here:

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Determine the value of x for the following equation: 9(x + 2) = 72

Answers

9(x+2)=72
Divide both sides by 9
x+2=8
Subtract 2 from both sides
x=6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]

Then, we simplify to get [tex]x+2=8[/tex]

Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]

brainliest pls

Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who received the better deal? Explain.

a. How much did Trey spend on a football?

b. How much did Evan spend on a football?

c.
Who got the better deal?

Answers

Answer:

a. $38.25, b.$40.5, c. Trey

Step-by-step explanation:

A percentage can also be represented as a proportion out of 1; for example, 30 percent is .30, and 100 percent will be 1.00.

a. If Trey is paying 15 percent off a price, that means he is still paying 85 percent, and recall what I said earlier, about 85 percent is a .85 proportion. So now we multiply the price by the proportion he is paying .85*45 = $38.25

b. We want to do the same process we did in part a. So we have 1 - .25 =.75 to get the proportion of the original price Evan will be paying. Now we multiply .75*54 = $40.50.

c. Trey got the better deal because he ended up paying less; hence $38.25 is less than that of $40.50

Part 2: Find the area of each of the given shapes below. If a shape has shading, find the area of the shaded region only. NO LINKS!​

Answers

Answer:

  b.  256 m²

  d.  324 cm²

  f.  35 in²

Step-by-step explanation:

b.

The shaded area is the difference between the areas of the outer rectangle and the inner one:

  A = (24 m)(12 m) -(8 m)(4 m) = 288 m² -32 m² = 256 m²

__

d.

The steps are all the same height and width. Their height is (18 cm)/3 = 6 cm, so the height of the middle step is 2×6 cm = 12 cm. The area of the figure will be the product of the base and the average step height:

  A = (27 cm)(12 cm) = 324 cm²

You might be able to visualize this as cutting off the top step even with the middle on and placing it on top of the bottom step.

__

f.

The triangle area formula applies.

  A = 1/2bh = 1/2(4" +10")(5") = 35 in²

_____

Additional comment

The formula for area of a rectangle is ...

  A = LW . . . . . the product of length and width

Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=

Answers

Answer:

8,5

Step-by-step explanation:

BC=AD-AB

BC=10,5-2

BC=8,5

whats the solution.?

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x-4)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x+4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

 

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+4  = 0 and calculate its properties

Step-by-step explanation:

x-4=-1/5x+2
Add 4 to both sides
x=-1/5x+6
Add 1/5x to both sides
6/5x=6
Multiply each side by 6/5
X=7.2

A circle has a radius of 2/2 units and a center at (-5, 1). Which point is located on the circle?
(-3,1)
(-3,2)
(-3,3)
(-3,4)

Answers

Answer:

(-3,1)

Step-by-step explanation:

2/2 x (-5,1)

Then the circle is (-3,1)

A bag contains 42 red,45 green, 20 yellow and 32 purple candies you pick one candy at random find the probability that it is green or yellow

Answers

Answer:

Probability 29%

Step-by-step explanation:

Answer:

65/139

Step-by-step explanation:

Just did this problem

1498 x 99 I already know the answer is 148302

Answers

Answer:

148302

Step-by-step explanation:

Answer:

148302

Step-by-step explanation:

Because that's the answer

a) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=​

Answers

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

Solve x2+6x+7=0
A.x=-1 and x=-5.
B. 3+ √2
C.-3+ √2
D. -3+ √2
———-
2

Answers

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

The answer would be -3-√2 and -3+√2

2 years,18 month.express the first quantity as a percentage of the second quantity

Answers

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

2) 20cm=200mm

225÷200×100

=112.5%

Step-by-step explanation:

Answer:

2 years= 12 months

12÷18×100= 66.67%( approx)

Step-by-step explanation:

help :( explain the meaning of -500 in context to the problem,

a plane flies directly from a city in Pennsylvania to a city in Ecuador. the equation below estimates the distance (d), In miles, from the city in Ecuador of the airplane (t) hours after taking off from the city in Pennsylvania

d=2565-500t

Answers

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

The -500 is the rate at which the distance of the plane from Ecuador changes every hour.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

Learn more rate of change here:

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We can  analice through a  dimensional evaluation, every term in any equation.

Solution is:

The term - 500 × t

represents, the quantity of miles travel in the time t

Looking carefully each term in the equation:

d = 2565 - 500×t

And knowing:

d, is distance in milest, is time in hoursThe fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxes

We are able to answer the question.

Then in the expression

d = 2565 - 500×t

As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product  -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane),  and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.

For instance if t = 1 hour

d = 2565 miles - 500 (miles)/hour × 1 (hour)

As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).

For the whole trip

d = 2565 miles    then total fly time is:

2565 (miles)/ 500 (miles/hour)×t

To get .  t = 5.13 h

Related link:https://brainly.com/question/8956323

Find the values of sin, cosine, and tangent, for

Answers

A B=5
sin=3/5
cos=4/5
tan=3/4

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

Question 1 (1 point)
Find the measure of the angle marked 4x

Answers

we need the image to solve the problem

Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.

Answers

Answer:

5 weeks

Step-by-step explanation:

75 w + 55 ≥ 400

75 w ≥ 345

15 w ≥ 69

w ≥ [tex]\frac{23}{5}[/tex] = 4.6 weeks ⇒ the minimum number of weeks Jordan must work is 5 weeks

Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign. HELP MEEE ASAPPPP ILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

y > - x - 4

Step-by-step explanation:

1) Find the equation of the line

2) The equation of the line is y = - x - 4

3) Identify where the graph is shaded

4) It is shaded above and to the right of the line

5) This means that it is more positive/ greater than the unshaded areas

6) Switch the = sign to > to signify the inequality

7) All done!

Step-by-step explanation:

the delimiter line is going through the points (-4, 0) and (0, -4).

the line function

y = mx + b

m is the slope of the line, b is the y-intercept (the y value when x = 0).

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.

so, for the 2 found points :

x changes by +4 (from -4 to 0)

y changes by -4 (from 0 to -4).

the slope m is then

-4/+4 = -1

and the y-intercept is -4 (as explained).

so, the line is

y = -x - 4

and the graphic says that all values greater than our equal to the line values are valid, so

y >= -x - 4

Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

How can you solve problems involving percents?

Answers

Step-by-step explanation:

To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.

Answer:

Base = Amount, and solve for the unknown numbers.Step-by-step explanation:

Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.

Which of the following is equal to 2,952 ÷ 24?
A.
(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)
B.
(2,400 + 24) ÷ (480 + 24) ÷ (72 + 24)
C.
(2,400 + 24) + (480 + 24) + (72 + 24)
D.
(2,400 ÷ 24) - (480 ÷ 24) - (72 ÷ 24)

Answers

Answer:

A

Step-by-step explanation:

After doing long division we then know that 2,952 ÷24 = 123

We 1st follow pemdas knowing this we solve the equations in parenthesis 1st

(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)

2,400 ÷ 24 = 100

480 ÷ 24 = 20

72 ÷ 24 = 3

We can then rewrite the equation as

100 + 20 + 3   We then solve left to right

100 + 20 = 120

120 + 3 = 123

A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
plz show work too plz

Answers

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

What is the common difference in the sequence below? 9, 2, -5, -12, ......
Select one:
a. -5
b. -6
c. -8
d. -7

Answers

Answer:

-7

Step-by-step explanation:

a=9 a2=2 a3=-5 a4=-12

d = a4-a3 ,a3-a2, a2-a.

so:

d = -12-(-5) =-12+5 =-7

also;

d = -5-2 = -7

and

d= 2-9 =-7

so the common difference is -7

Answer:

-7

Step-by-step explanation:

We know that

Common difference = a2 - a1

=> 9 - 2

=> -7

Help help help help help

Answers

Answer:

8

Step-by-step explanation:

The answer is 8 because there are 2 possibilities for each coin you flip heads and tails  so if you flip three coins all at once you get 2*2*2, which equals to 8.

I hope this help!

A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. Find the 95% confidence intervals of the true difference in the proportions.

Answers

The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

75 = 100 26 = X 26 x 100/75 = X 34.66 = X 34.66 x 0.95 = 32.93 34.66 x 1.05 = 36.40 60 = 100 26 = X 26 x 100/60 = X 43.33 = X 43.33 x 0.95 = 41.16 43.33 x 1.05 = 45.50 45.50 - 32.93 = 12.57 41.16 - 36.40 = 4.76

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

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