A rectangle has four sides. Fill in the blanks in the double number-line below.
rectangles
1
2
3
4
8
12
28
sides





Plz help

Answer:

m and n are both equal to 10

Step-by-step explanation:

Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45.  This tells us that the sides m and n are of equal length.

With that in mind, we can simply use the Pythagorean theorem to find their values:

m² + n² = (10√2)²

given that m = n, then:

m² + m² = (10√2)²

2m² = (10√2)²

2m² = 100 × 2

2m² = 200

m² = 100

m = 10

So both m and n are equal to 10.

Answer: 184.73 meters

Step-by-step explanation:

1 yard = 0.91 meters

Given

There are 203 yards

Calculate

203 yards × 0.91 meters/yard = 184.73 meters

Hope this helps!! :)

Please let me know if you have any questions

Answer:

b) x = 31

Step-by-step explanation:

It's an isosceles triangle, meaning the base angles are congruent as well.  

Answer:

x intercept = (0.3, 0)

y intercept = (0, 0.4)

Answer:

x: (0.3,0)

y: (0,0.4)

Answer:

F. 4 2/3 centimeters

Step-by-step explanation:

since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.

. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.

To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.

(which is the same as the number of sides).

540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.

2. 540°

Sum of Interior Angles of a Polygon

A pentagon has five sides, thus the interior angles add up to 540°, and so on.

Answer:

x = 30

Step-by-step explanation:

Given the expression

-2/3 x - 1 =19

We are to find the value of x

Add 1 to both sides

2/3 x -1 +1 = 19+1

2/3 x =20

Multiply

2/3x × 3 = 20×3

2x = 60

x = 60/2

x = 30.

Hence the value of x is 30

Answer: The volume of the aquarium = 790 cubic meters

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Given: An aquarium is in the shape of a right rectangular prism that is 22.9m long, 7.5m wide and 4.6m high.

Volume = [tex]22.9\times7.5\times4.6[/tex]

i.e. Volume = 790.05 cubic meters

i.e. Volume ≈ 790 cubic meters  (rounded to the nearest cubic meter)

Hence, the volume of the aquarium = 790 cubic meters (approx)

Answer:

Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

hope this helps!

Maybe brainliest?

The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -2/3 )x - 5

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = ( -2/3 )

The y-intercept b = -5

Hence , the equation of line is y = ( -2/3 )x - 5

To learn more about equation of line click :

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Answer:

$1.5

Step-by-step explanation:

This would be solved using a simultaneous equation

let tacos = t

drink = d

3t + d = 7 -- eqn 1

2t + 2d = 8 -- eqn 2

Multiply equation 1 by 2 to derive equation 3

6t + 2d = 14 eqn 3

Substract equation 2 from equation 3

6t + 2d = 14 -- eqn 3

         -

2t + 2d = 8 -- eqn 2

= 4t = 6

solve for t

6/4 = 1.5

= $1.5

Answer:

937 feet

Step-by-step explanation:

tan32 = x/1500

0.625 = x/1500

0.625*1500 = 937.304

Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)

Answer:

17

Step-by-step explanation:

9.2

.......................

The length of arc is 9.1506 cm.

The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.

The Formula for Length of Arc is θ/360 x 2πr.

We have,

Radius = 7.9 cm

Angle = 66.4 degree

Now, length of Arc

= θ/360 x 2πr

= 66.4 / 360 x 2 x 3.14 x 7.9

= 0.18444 x 2 x3.14 x 7.9

= 9.1506 cm

Thus, the length of arc is 9.1506 cm.

Learn more about Length of arc here:

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Answer:

The third answer

Step-by-step explanation:

Rate of change is slope which is 10 for the first one and you can use rise over run to find slope for the graph

Answer:

1/2 or 0.5 is the correct answer of this question

Answer:

21/4

Step-by-step explanation:

1/2[-8 +16 - ( -2 1/2)] = 1/2 ( - 8 + 16 +  2 1/2) = 1/2 ( 8 + 2 1/2) = 1/2 * [tex]10 \frac{1}{2}[/tex] = 1/2 * 21/2 = 21/4

Answer:

well 12 x 10 = 120 so 120 x 10 = 1200 and 5 x 5 = 25 so 25 x 10 = 250 and 1200 + 250 would be 1450

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

last one (d)

Step-by-step explanation:

adding subtracting or dividing is not how you use a growth factor(what my school calls a percentage in a decimal form).

Answer:

4 wholes 3 out of 8

Step-by-step explanation:

...........

Step-by-step explanation:

convert mixed to improper fraction.

5/3×21/8

35/8

Step-by-step explanation:

67 miles

Answer:

Yes

Step-by-step explanation:

I see a right angle, so its perpendicular

Answer:

C. 4,900 = m times 5,000

Step-by-step explanation:

Total books = 5,000

Fiction = 4,900

Calculations:

[tex]5,000. \frac{x}{100} =4,900[/tex]

[tex]\frac{x}{100} = \frac{4,900}{5,000}[/tex]

[tex]\frac{x}{100} =0.98[/tex]

[tex]x=98[/tex]

Now that we know x we can come up with the equation and can determine which one is correct. x = m = 98%

Therefore, 4,900 is 98% of 5,000.

So 5,000 x 98% = 4,900

And the equation that matches that is C.

Answer:

B.

Step-by-step explanation:

If you calculate the sum of both you get:

5x + 2x + 4y - 7y = 24 + 26

7x - 3y = 50, which is B