500(x – 3) = 5,000

What’s the value of x?

Answer:

a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4

Step-by-step explanation:

a) ABC ≅ A'B'C' (SSS)

b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -

6/24=12/48=15/60

The figures are getting bigger, so they are going through an enlargement.

c) To find the scale factor of like done above, we could put them into a ratio.

6/24=12/48=15/60

Which would result in the scale factor of 4.

Answer:

D. A=34, B=28

Step-by-step explanation:

In the bulletin points, it says that seconds 3-5 are decreasing. That means that those heights can't be higher than second 2 (34). The only option that works is option D.

----------------------

Option A is incorrect because it starts with 35ft which is higher than second 2(34) so that is automatically wrong.

Option B is incorrect because it is increasing instead of decreasing.

Option C is incorrect for the same reason as Option A: it starts with 35ft.

---------------------

Therefore, the only correct option is Option D.

Have a nice day!!

Answer:

dont you just subtract 90-61 to get 29 since a triangle is 90 degrees

Answer:

122

Step-by-step explanation:

61 x 2 = 122

The measurement of angle ABC is 122°.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,(h, k) is the center of a circle, "r" is the radius of the circle.

Given, a figure of the circle that gives the center of the circle is B.

Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.

Since both angles, ∠ABC and ∠ADC are made by the same arc AC.

Thus,

The angle made on the center = 2 * the angle made on the circumference,

The angle made on centre = 2 * 61

The angle made on center = 122°

Therefore, The measurement of angle ABC is 122°.

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Answer:

132.00

Step-by-step explanation:

The surface area of the composite figure is S = 706.4 feet²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle

On simplifying , we get

2 ( area of trapezium ) = ( a + b ) x h

2 ( area of trapezium ) = ( 19 + 5 ) x 12.1

2 ( area of trapezium ) = 290.4 feet²

Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )

2 ( area of opposite rectangles ) = 224 feet²

Area of smaller rectangle = 5 x 8 = 40 feet²

Area of larger rectangle = 8 x 19 = 152 feet²

Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²

S = 706.4 feet²

Hence , the area of the figure is S = 706.4 feet²

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Answer:

20%

Step-by-step explanation:

3 green, 1 brown, 2 red

3 + 1 + 2 = 6

Total: 6

The probability of picking a green one is 3/6 or 1/2.

———————————————————————

2 green, 1 brown, 2 red

2 + 1 + 2 = 5

New total: 5

The probability of picking a red one is now 2/5.

———————————————————————

First, we multiply them by each other.

2/5 x 1/2 = 1/5

Next, we convert 1/5 to a percentage to get our final answer.

1/5 x 20 = 20/100, which is 20%.

So our final answer is 20%.

Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

Answer: $140.50

Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.

Answer:

128 pages

Step-by-step explanation:

[tex]0.32*400[/tex]

[tex]=128[/tex]

In total, Marty had read 128 pages of his book.

Answer:

Its d!!!!!! Welcome!

Step-by-step explanation:

Answer:

6:07

Step-by-step explanation:

8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

Answer:

Some states consider some income to be tax free. this statement is false

it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?

sorry if I'm wrong

Answer:

[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]

Step-by-step explanation:

[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]

[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]

[tex]equation:[/tex]

[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]

[tex](x+2)^{2}+(y-3)^{2} =72[/tex]

-----------------------------------

hope it helps...

have a great day!!

The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The center of the circle, (h,k) = (-2,3)

The point on the circle, (x,y) = (4,-3)

The radius of the circle is

[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]

⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]

⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]

⇒ [tex]r=\sqrt{72}[/tex]

The formula of equation of circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

The circle has the center (h,k) = (-2,3) and radius is √72,

⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]

⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]

Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]

Answer:

2x+40=982

Step-by-step explanation:

Answer:

B: 375 ft^2

Step-by-step explanation:

20 x 15 + 10 x 15/2 = 375

The number of triangles is an illustration of Triangle Inequalities theorem

There are infinitely many triangles that can be made given two side lengths

The side lengths of two sides are given as 18 inches and 25 inches.

Assume the third side of the triangle is x

Using the Triangle Inequalities theorem, we have:

So, we have:

x +18 > 25

x > 7

x + 25 > 18

x > -7.

18 + 25 > x

x < 43.

Ignore the negative value.

So, we have the solution set to be 7 < x < 43.

This means that the third side can take any value between 7 < x < 43.

Hence, there are infinitely many triangles.

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Answer:

b = 30

Step-by-step explanation:

The sum of the 2 angles above the line will equal the angle below the line

3b + b - 15 = 2b + 45

4b - 15 = 2b + 45 ( subtract 2b from both sides )

2b - 15 = 45 ( add 15 to both sides )

2b = 60 ( divide both sides by 2 )

b = 30

Answer:

Step-by-step explanation:

Its 50% for the first one

Answer:

the first one

Step-by-step explanation:

formula 3.35 times something

Answer:

Step-by-step explanation:

Answer:

Solution given

99/5=19 4/5 is your quotient in mixed number.

Answer:

You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

x = -47/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = - 47/3

Can't be reduced because 47 is prime

Answer:

x=  -47/3

Step-by-step explanation:

So the information we already have is

7 = 3x + 9 * 6

9 * 6 = 54

now it is

7 = 3x + 54

The equation can also be

3x + 54=7

First subtract 54 from both sides

3x + 54 - 54= 7 - 54

3x= -47

Then divide both sides by 3

3x/3= -47/3

x= -47/3

Formula for finding cylinder:

π • r

This will find the area of the Base (B)

Then you multiply by the height given.

V= π• r • h

Just plug in the numbers

Formula for a rectangular prism:

Find the length • width

This is the area or base area (B)

Then multiply by the h

V= l•w•h

Hope this helps

Answer:

wheneveryouseeanxonthe

rightputa16thatwhatf(16)

means.

f(16)=

3

1

(4−16)

2

f(16)=

3

1

(−12)

2

f(16)=

3

1

(144)

f(16)=48

[isyouranswer]

Step-by-step explanation:

mark me as brainliest.oky?

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest