(3a+2b−7)−(4b−10) in standard form

The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

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Answer:

My favorite subject is Science

Step-by-step explanation:

Because it’s really interesting and the concepts about everything that could and will happen is fascinating

Answer:

5.83

Step-by-step explanation:

9 / 7.50 = 0.833(repeating)

8.33(repeating) * 7 = 5.833(repeating)

Simplify 5.833(repeating)

Answer:

5.83

Step-by-step explanation:

Answer/Explanation:

The formula for a rectangular prism is Length x Width x Height

With this information we can multiply 6x8x2 and get 96 ft³.

This is the volume of the original prism.

Doubling the dimensions means multiplying each side by 2.

The new dimensions would be a.16 b.4 c.12

Use the formula to find volume. 12x16x4=768

The volume of the enlarged prism is 768 feet³

For bonus question, divide 768 by 96.

The scale factor is 8.

Answer:

$2.51

Step-by-step explanation:

12.55/5= 2.51

a bag of dog treats is 2.51 per bag

Answer: 4 o clock

Step-by-step explanation:

Answer:

5 o' clock

Step-by-step explanation:

The angle between the hands of a clock on an hourly basis is 30°

thus for the hands to be 90° apart would be 3 hours

then 2 o' clock + 3 hours = 5 o' clock

Answer:

I'm guessing it is 3x(9x20)=3x180=540

Step-by-step explanation:

The expression of  the factored form of 2x2+25x + 63 is mathematically given as

(x+7)(2x+7)

Question Parameter(s):

Expression 2x^2+25x + 63?

The expression of the factored form will bear the roots of the expression repressented  in standard form

Generally, the equation for the expression   is mathematically given as

2x^2+25x + 63?

Therefore

2x^2+25x + 63?

x(2x+7)+9(2x+7)

(x+7)(2x+7)

In conclusion, The expression is

(x+7)(2x+7)

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More earnings:-

Total earnings this year

Answer:

[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]

Step-by-step explanation:

Given:

Last year: $x

Determining the money earned for this year:

This year = 25%   more than       last year

               = $25x/100   +                    $x

               = $x/4           +                 $4x/4

The expression that represents the money earned this year is $x/4 + $4x/4.

2x=3

x=3/2 =1.5

Answer:

The choice A.

Step-by-step explanation:

[tex]9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} [/tex]

The simplified value of in radical form is 11√2 - 5√7.

In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.

We have 9√2 - 3√7 + √8 - √28

First, solve the radical as possible

√8= 2√2

and, √28= 2√7

So, 9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2- 2√7

= 9√2 + 2√2- 3√7- 2√7

= 11√2 - 5√7

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Answer:

8.4 is the correct answer on acellus

Answer:

81

Step-by-step explanation:

27 total of pupils.

girls 1×27=27

boys 2×27=54

total 54+27=81

Answer:

Step-by-step explanation:

17) B. They are adding 2 to both sides.

18) A. A segment is equal to itself.

19) D. They are multiplying both sides by 2.

20) C. They are simply swapping the left and right hand sides of the equation

Let's see

[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]

[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]

[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]

[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]

Answer:

32+4x(16x)-12=

32+64x-12=

64x-12+32=64x+20

64×÷64÷=20÷64=

x=0.3125

Answer:

nasa pic yung sagot

hope its help

Answer:

y = - x + - 2

Step-by-step explanation:

Using the equation y = mx + b, find the m (slope) from the graph and the b (y-intercept from the graph).  The slope, m, is the rise over the run from point A to point B.  The rise is -5 and the run is 5.  [tex]\frac{-5}{5}[/tex] = -1.  The y-intercept, b, is the point the graph passes through the y-axis.  The b is -2 so y = -x+-2.

The rotation of point G to point H is an illustration of a circular movement

The rotation that maps point G to point H is 72 degrees clockwise

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The angle of rotation is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a clockwise direction

Hence, the rotation that maps point G to point H is 72 degrees clockwise

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Answer:

72° clockwise

Step-by-step explanation:

Answer:

a = 4 b = 2 c = 6

Step-by-step explanation:

4 + b = c

b & c are any even numbers between 2 and 9 (2, 4, 6, 8)

c > 4 ( 6, 8)

b < 6 (2, 4)

b can't be the same number, so b is 4 meaning c is 6

Answer:

b=2, c=6

Step-by-step explanation:

Answer: 2194.00 and 2194.000

Step-by-step explanation: rounded to the nearest 1000= 2194.000

rounded to the nearest 100 = 2194.00

Answer:

sqrt(37) = arpox 6.1

Step-by-step explanation:

sqrt(1^2+6^2) = sqrt(37)

Answer:

3:30 is the answer

Answer:

28 degrees

Step-by-step explanation:

A triangle is 180 degrees. 180-152=28.

Answer:

The third angle is 28 degrees

Step-by-step explanation:

A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

Answer:

  30 cm²

Step-by-step explanation:

You want to know the area of the given shape.

The formula for the area of a parallelogram is ...

  A = bh

A line from B to E divides the figure into two congruent parallelograms, each having a base of 5 cm and a height of 3 cm.

The area of the figure is ...

  A = 2 × (5 cm)(3 cm) = 30 cm²

__

Additional comment

If you draw a line from F to D you get a triangle FED that perfectly matches the space ABC. Moving ∆FED to fill ∆ABC transforms the figure into a rectangle that is 5 cm high and 6 cm wide. Its area is (5 cm)(6 cm) = 30 cm².

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Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

Answer:

11 and 11 root 3

This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.

Answer:

x = 11, y = 19.05

Step-by-step explanation:

sin 30 = x/22
22*sin 30 = x

22*0.5 = x
11 = x

tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05

Hope this helps :)