Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2

Answer:

4

Step-by-step explanation:

1 ÷ 0.25 = 4

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

Answer:

6/10

Step-by-step explanation:

Answer:

It is B 8/10

Step-by-step explanation:

Answer:

15 pounds because 30/2 is 15

Answer:

um.... 17??????????????????

Answer:

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Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Answer:

The variable is t

t represent the cost of movie tickets

Step-by-step explanation:

Given:

Total cost = 7t + 4.50

The variable is t

Michael + 6 friends = 7 people

4.50 represent the cost of popcorn

t represent the cost of movie tickets

For instance,

If the cost of a movie tickets is $2

Then,

t = 2

Total cost = 7t + 4.50

= 7(2) + 4.50

= 14 + 4.50

= 18.50

Total cost = $18.50

Answer:

the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees

Step-by-step explanation:

A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.

The already labeled angle (40 degrees) is equal to the farthest angle.

Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:

180 - 90 - 40 = 50 degrees.

Answer:

$548.9

Step-by-step explanation:

$499 x (1+10%) = $ 548.9

Answer:

BC= 2√5

CD= 2√10

DE= 2√5

BE= 2√10

slope of BC = 2

slope of CD = 1/3

slope of DE = 2

slope of BE = 1/3

Step-by-step explanation:

formula for distance = √(x2-x1)²+(y2-y1)²

formula for slope = (y2-y1)/(x2-x1)

Answer:

Step-by-step explanation:

Answer:

[tex]5 - 4x = - 7[/tex]

Step-by-step explanation:

Let the missing variable be x then yiu will get the answer above

Answer:

3

Step-by-step explanation:

5 - 4x = -7

add 4x to each side of the equation:

5 = 4x - 7

add 7 to each side:

12 = 4x

divide both sides by 4:

x = 3

proof:

5 = 4(3) - 7

5 = 12 - 7

5 = 5

Answer:

0

Step-by-step explanation:

Question:

In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?

___________________________________________________

Solution:

The triangle FGH should look like that in the attachment.

Tangent of angle G = opposite side/adjacent side

= FH/HG

= 55/48

Answer:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Answer:

The answer is below

Step-by-step explanation:

The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:

[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]

Area = length * breadth

20 = 5 * breadth

breadth = 4 units

The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)

The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:

[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]

Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)

Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)

Answer:

The answer should be B

Answer:

Circumference of circle = 18π inches

Step-by-step explanation:

Given the following data;

Area of circle = 81π in²

To find the circumference;

First of all, we would find the radius of the circle using the area of circle formula.

Area of circle = πr²

Substituting into the formula, we have:

81π = πr²

Dividing both sides by π, we have;

81 = r²

Taking the square root of both sides, we have;

r = 9 inches

Now, to find the circumference of the circle;

Circumference of circle = 2πr

Circumference of circle = 2*π*9

Circumference of circle = 18π inches.

Answer:

[tex]\sqrt[4]{16x^{3} }[/tex]

Step-by-step explanation:

Solve using the formula : [tex]a^{\frac{x}{n} } =\sqrt[n]{a^{x} }[/tex]

Answer:

2ft 8in

Step-by-step explanation:

Text if you want explanation. Welcome❤

Step-by-step explanation:

slop -3

(x ,y) point that throgh the x,y axis

(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point

Answer:

8/15

Step-by-step explanation:

7/10 = 21/30

1/6 = 5/30

21/30-5/30 = 16/30=8/15

Answer:

32/60

Step-by-step explanation:

7/10-1/6

6 and 10 can both go into 60 so you do

10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract

42-10= 32

32/60

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                              y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8)    ⇒   x₁ = -2,  y₁ = 8

Therefore,  the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃                   {multiply both sides by 3}

3y - 24 = x + 2                    {subtract x from both sides}

-x + 3y - 24 = 2                     {add 24 to both sides}

-x + 3y = 26

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]