Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one

Answers

Answer 1

Answer:

Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.

Step-by-step explanation:

Statement 1:

In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.

Explanation:

Total area of each square = ab*ab

Fig 1 has 4 triangle each with area = ab/2

Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab

Fig 2 has 2 non-white rectangles each with area = a*b

Total area of non-white rectangles in fig 2 = 2*ab

As non-white area of fig 1 = non-white area of fig 2

The remaining white area must also be equal.


Related Questions

A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.

A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

what is the slope of the line // take my points !!!!

Answers

Answer:

Im not sure

Step-by-step explanation:

Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

11.
A circle with a radius of 6 cm is enlarged to be a circle with a radius of 15 cm. What scale
factor was used to dilate the small circle into becoming the larger circle?
a) 0.4
b) 4.5
C) 2.5
d) 9.0

Answers

I believe the answer is B) 4.5
I think the answer is A :)

what is the value of x + y?​

Answers

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

volume of a cube with 7,5 cm

Answers

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

Peter was thinking of a number. Peter adds 8 to the number, then doubles the result to get an answer of 57.4. Form an equation with
x
from the information.

Answers

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))

Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.

Answers

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:

Amanda

[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)

Where:

[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.

Bryce

[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)

Where:

[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.

Corey

[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)

Where:

[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.

If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:

[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)

[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)

[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)

[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

How to write in simplified slope intercept form

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

1.  Pick tow points that is on the line; (1, 1) and (2, 5).

2. Find the Slope:  Slope = (change in the y-values)/(change in the x-values)

   Slope = (5 - 1)/(2 - 1) = 4/1 = 4

3. Use the slope and one point on the graph and substitute into y = mx + b

    and solve for "b"

          y = mx + b                           Slope = 4  point (1, 1)

           1 = 4(1) + b

            1 = 4 + b

           1 - 4 = b

            -3 = b

4. Write the equation of the line: m = 4 and b = -3

     y = 4x - 3

A unit cube could be 6 units long by 6 units wide by 6 units tall. True or false?

Answers

Answer:

True

Step-by-step explanation:

Find the distance between​

Answers

Answer:

minus 15 by 4

Step-by-step explanation:

minus 9 by 4 minus 3 by 2 lcm then add

what is the improper fraction 2 7/8what is the improper fraction 8 2/3

Answers

Answer:

1. 23/8

2.26/3

Step-by-step explanation:

2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I

Answers

Answer:

Step-by-step explanation:

A) 1.00q+1,500

E=1.00q+1,500

The costs are $1.00 per cup and $1,500.

Let E represents the total cost.

Let q be the demand (number of cups).

Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500

[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x

Answers

Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

7+(4x8)-9
i need help this is weird

Answers

Answer:

30

Step-by-step explanation:

7+(4*8)-9

Multiply first inside the parentheses

7+(32)-9

Then add and subtract from left to right

39 - 9

30

Answer:

If x is a variable then the answer is 4x⁸ - 2

If x is a multiplication representation then the answer is 30

Step-by-step explanation:

If x is a variable:

1) Eliminate redundant parentheses

[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]

2) Subtract the numbers

[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]

3) Rearrange Terms

[tex]-2+4x^{8} \\4x^{8} -2[/tex]

8. Write an equation for the line in slope- intercept form.​

Answers

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

Find the measures of the interior angles.





what is angle C

Answers

35 Degrees

The total of a triangle will always be 180. So

110 + 35 + X=180
-110 -110

35+X=70
-35 -35

X=35

Similar triangle Scale factor 3:4 and x=16

Answers

Step-by-step explanation:

a factor is something you multiply with.

so,

16 × 3/4 = 12

so, the corresponding side to x in the similar triangle is 12 units long.

which type of image format is constructed using proportional formulas rather than pixels?

Answers

Answer:

vector.

Step-by-step explanation:

Write an equation for the line gragh

Answers

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

convert into precent...
convert 0.(6) as a precent the parenthesis mean something

Answers

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

60% but usually if something is in parentheses it’s multiplication so it could be 36% aswell

Find the measure of angles A and B in the diagrams below.​

Answers

Answer:

A = 147°

B = 33°

4. Answer a through c

Answers

Answer:

Hello is this math i can help you with your answer

Evaluate the formula χ2=
(n−1)s2
σ2 when σ=3.32​, n=38​, and s=3.36.

Answers

Answer:

Step-by-step explanation:

1 inch = 2feet . what would be the real life measurement of an object that measures 3 inches on a scale drawing

Answers

Given,

1 inch = 2 feet

3 inches = ? feet

3 inches = (2 × 3) feet

3 inches = 6 feet

=》3 inches in the scale drawing is 2 feet in real life.

_______

Hope it helps ⚜

Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)​

Answers

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE

Answers

We as we see this question is quite simple

first we find the vocabulary which is in simple text slang and convert it formally to english...

Next we find that this question makes no sense so g'day

The question is very simple.
First look at the equipment

What is the value for y?
Enter your answer in the box.
y=

Answers

Answer:

28

Step-by-step explanation:

Answer:

y = 28

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °

we find the value of 4y

180 - 34 - 34 = 112

now we find the value of y

4y = 112°

y = 112 : 4

y = 28

Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points

Answers

a = 70°

b = 55°

c = 40°

The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.

Answers

Answer:

r=5.31

Step-by-step explanation:

A=π r²

88.42cm²=3.14r².................π =3.14

88.42cm²÷3.14=r²

r²=28.16cm²

r=5.31

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