The two polygons below are similar.
T
4
s
E
137°
1
1
F
430
439
D
ܫܕ
1
137°
С
U
4
V
Complete the similarity statement.
CDEF ~ UVST
What is the similarity ratio of the first polygon to the second polygon?
Simplify the similarity ratio and write it as a proper fraction, improper fraction, or whole
number

Answer:

Perimeter (upper bound) =42.16 m

Area (lower bound)= 81.11 m2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Since both measures were rounded to the nearest tenth, the possible numbers are:

Length (L) =15.8m ; (between 15.75 and 15.84)

Lower =15.75 ; upper = 15.84

Width (w) =5.2m (between 5.15 and 5.24)  

Lower = 5.15 ; upper = 5.24

Upper bound perimeter = 2 (15.84)+2(5.24) = 42.16 m

Lower bound for the area of the rectangle = 15.75 x 5.15 = 81.11 m2

Feel free to ask for more if needed or if you did not understand something.  

Answer:

see below

Step-by-step explanation:

15+2x> 31

Subtract 15 from each side

2x > 16

Divide by 2

2x/2 > 16/2

x > 8

There is an open circle at 8

The line goes to the right

Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer:

(1, 2)

Step-by-step explanation:

The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.

f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).

Answer: The correct answer is 94 cm.

Step-by-step explanation:

wingspan         length

60 meters        70.5 m

----------------- = ----------------

80 cm                   x

Cross multiply

(60 m)x = (70.5 m)(80 cm)

Solve for x by dividing both sides of equation by 60 m:

x = (70.5 m)(80 cm) / (60 m) = 94 cm

The length of the model is 94 cm.

Answer:

94 cm

Step-by-step explanation:

Write and solve an equation of ratios:

70.5 m       60 m

----------- = -----------

    L           80 cm

Cross multiplying, we get:

(70.5 m)(80 cm) = (60 m)L

                                                                     (70.5 m)(80 cm)

Then the model length, L, should be  L = -------------------------

                                                                              60 m

or

L = 94 cm

Answer:

The perimeter of given figure  = 56.56 ft

Step-by-step explanation:

Step(i):-

From diagram

      The length of the rectangle = 10 ft

     The width of the rectangle = 8 ft

     Perimeter of the rectangle

                      = 2 ( l+w)

                     =  2 ( 10 + 8)

                     = 2 × 18

                     = 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

        perimeter  of the circle

          p = 2πr + d

        perimeter of the semicircle

        [tex]P = \frac{1}{2} 2\pi r + d[/tex]

       P = πr + 2 r    (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

      d = 8

     d = 2 r = 8

The radius of the circle 'r' = 4  

    perimeter of the semicircle

       P = πr + 2 r  

      P = 3.14 ( 4) + 8

     P= 20.56

Conclusion:-

The perimeter of given figure

                    = perimeter of rectangle + perimeter of semicircle

                    = 36 + 20.56

                   =56.56 ft

Answer:

36/100

Step-by-step explanation:

this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.

The probability that we get the same number is 9/25.

It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.

Numbers in first bag=10

Numbers in second bag=10

Common numbers=5,6,7,8,9,10

Total common numbers=6

So the probability that we get the same numbers will be

= 6/10* 6/10

=36/100

=18/50

=9/25

Hence the probability that we will get the same numbers is 9/25.

Learn more about probability at https://brainly.com/question/24756209

#SPJ2

Answer:

(2x³ - 3)²

Step-by-step explanation:

4x⁶ - 12x³ + 9

2²x⁶ - 12x³ + 9

2²x²ˣ3 - 2 * 2x³ * 3 + 3²

2² * (x³)² - 2 * 2x³ * 3 + 3²

(2x³)² - 2 * 2x³ * 3 + 3²

(2x³ - 3)²

Hope this helped! :)

Answer:

-3x^2-15x-30

Step-by-step explanation:

Follow order of operations

Answer:

-3x^2 -15x -30

Step-by-step explanation:

First you would square the parenthesis, and get x^2 +6x+9 inside the parenthesis, then you would multiply it by the -3 and get -3x^2 -18x-27-3+3x then you combine like terms to get the answer.

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]\frac{15}{\sqrt{3} }[/tex]

Multiplying and dividing by [tex]\sqrt{3}[/tex]

=> [tex]\frac{15}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]

=> [tex]\frac{15\sqrt{3} }{(\sqrt{3})^2 }[/tex]

=> [tex]\frac{15\sqrt{3} }{3}[/tex]

=> [tex]5\sqrt{3}[/tex]  (A Rationalized denominator!)

Answer:

5√3

Step-by-step explanation:

To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply [tex]\frac{15}{\sqrt{3} }[/tex] [tex]* \frac{\sqrt{3}}{\sqrt{3}}[/tex] . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.

Answer:

Angle AME is 180° hence a straight angle.

Hope this helps you.

Answer:

straight

Step-by-step explanation:

<AME is a straight angle because:

I hope this helped you, and have a great rest of your day!

Answer:

shoulf be the first one: f(x) (½)^x-3

Answer:

A

Step-by-step explanation:

Edge 2020

Answer:

The factors of the polynomial are 5,  ( 3x - 2y), and  (3x + 2y)

Step-by-step explanation:

The given polynomial is 45x² - 20y²

45x² - 20y² = 5 (9x² - 4y²)

45x² - 20y² = 5 [ (3x)² - (2y)² ]

Using difference of two squares,  (3x)² - (2y)² = ( 3x - 2y)(3x + 2y)

45x² - 20y² = 5 ( 3x - 2y) (3x + 2y)

The factors of the polynomial are 5,  ( 3x - 2y), and  (3x + 2y)

Answer:

5(3x - 2)(3x + 2)

Step-by-step explanation:

Please indicate exponentiation with " ^ " :  45 x^2 - 20 y^2​.

Identify the GCF and factor it out:  5(9x^2 - 4y^2)

Recognize that (9x^2 - 4y^2) is the difference of two squares, which factors into (3x - 2y)(3x + 2y)

Then   45 x^2 - 20 y^2 = 5(3x - 2)(3x + 2)

Corrected Question

The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }

Answer:

[tex]\{x | x >3 \}[/tex]

Step-by-step explanation:

Given an inequality whose solution is represented by the number line attached below.

We observe the following from the number line

There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)

The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:

The solution in the number line can be written using set-builder notation as:

[tex]\{x | x >3 \}[/tex]

Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

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

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Then, you have to substitute the coordinates into the formula :

[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]

[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]

[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]

[tex]m = \frac{ - 1}{ - 8} [/tex]

[tex]m = \frac{1}{8} [/tex]

Answer:

Solution,

Finding the value of X,

[tex]11x + 2 = 68[/tex]

( being vertically opposite angles)

[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]

Value of X is 6

Now, finding the value of z

[tex]z + 68 = 180[/tex]

(sum of angle in linear pair)

[tex]z = 180 - 68 \\ z = 112[/tex]

Value of z is 112.

Hope this helps....

Good luck on your assignment...

Answer:

C. The number of crackers in the supervisor's bag is 1 standard deviation to the right of the mean.  

Step-by-step explanation:

Data

mean + standard deviation = 22 + 2 = 24, that is, 1 standard deviation to the right of the mean (the addition is to the right, the subtraction to the left).

Answer:

The equation of the line is

[tex]y = \frac{1}{2} x - 4[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the gradient

c is the y intercept

Gradient = 1/2

Equation of the line using point ( 4 , -2) is

[tex]y + 2 = \frac{1}{2} (x - 4) \\ y + 2 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 - 2 \\ y = \frac{1}{2} x - 4[/tex]

Hope this helps you

Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run

Step-by-step explanation:

:)

Answer:

x = 25.

Step-by-step explanation:

Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.

Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!

[tex]\frac{x}{60} =\frac{60}{144}[/tex]

144 * x = 60 * 60

144x = 3600

2x = 50

x = 25

Hope this helps!

Answer:

Wonder Woman

Step-by-step explanation:

she has the highest total

Answer:

The correct answer is Wonder woman

Step-by-step explanation:

Its because wonder woman has the highest total. Its that simple.

Hope this helps! bye

Answer:

The correct option is:

x+y = 2

Step-by-step explanation:

Street 1 is given.

If Street 2 is parallel to Street 1, then they will have the same slope.

Find slope of Street 1:

Take any 2 points on Street 1. Consider (-2,3) and (1,0)

Slope is given by:

m = (y₂ - y₁) / (x₂ - x₁)

m = 0-3 / 1-(-2)

m = -3/3

m = -1

For Street 2:

y = mx + c

y = -1x +c

As it passes through (-2,4), substitute the point in the above equation:

4 = -1(-2) + c

c = 2

So substitute m = -1 and c =2 into general form of equation:

y = mx + c

y = -x + 2

or

x+y = 2

Answer:

Estimated answer 80

Step-by-step explanation:

I believe its 84 or some where in 80. Because the estimated value I got by solving this geometrical question is somewhere in 80. HOPE this helps! :D

Answer:

  78π m²

Step-by-step explanation:

The lateral area of the cylinder is ...

  LA = 2πrh

  LA = 2π(3 m)(8 m) = 48π m²

The lateral area of one cone is ...

  LA = πrh . . . . where h is the slant height

  LA = π(3 m)(5 m) = 15π m²

Then the total surface area of the figure is the area of the two cones plus that of the cylinder:

  S = 2(cone area) + cylinder area

  S = 2(15π m²) +(48π m²)

  S = 78π m²

Answer:

157+364= 521 square mm

Step-by-step explanation:

Area of 1/2 circle = 1/2 pi r-squared = 1/2x10x10x3.14 = 157 square mm

Area of trapezoid = (a+b)/2xh = (20+32)/2 x 14 = 364 square mm

157+364= 521 square mm

Answer:

25

Step-by-step explanation:

The Side Splitter Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally. Therefore:

6/15 = 10/?

6*? = 10*15

? = 10*15/6

? = 25