Melanie cuts a rectangle out of a piece of scrap paper as shown. She wants to calculate the angle measure of the piece that is left over. What is the measure in degrees?

Answer:

[i] 12x + 5 = 1/2(83 +95)

12x + 5 = 89

12x = 84

x = 7.

[ii] 9x + 7 = 1/2(198 + 7x - 8)

18x + 14 = 198 + 7x - 8

11x = 176

x = 16.

[iii] 15x - 8 = 1/2(16x +1 + 5x + 19)

30x16 21x + 20

9x = 36

x = 4.

[iv] 20x - 4 = 360 - 2 × 72

20x = 220

x=220/20=11°

[v] 13x - 1 = 2(6x + 11)

13x - 1 = 12x + 22

x = 23.

[vi] 46 = 1/2(21x-5-x-23)

20x2892

20x = 120

x = 6.

[vii] 6x - 21 = 1/2(13x - 3-3x - 11)

12x - 4210x - 14

2x = 28

x = 14.

[viii] 2x + 1 = 1/2(9x − 14 − 4x + 7)

4x + 2 = 5x - 7

x = 9.

[ix] 9x - 4 = 180 - 76

9x - 4 = 104

9x = 108

x = 12.

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

Answer:

C,

Step-by-step explanation:

This is because in a parallelogram the opposite angles are supposed to be congruent showing that when you draw line from opposite ends of the angles they will bisect at the middle of the parallelogram.

If you don't understand my explanation, you can comment and I make it more clear.

Answer:

Step-by-step explanation:

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 10% of students brought their lunch. 41 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answer:

[tex]\frac{16}{7}[/tex]

Step-by-step explanation:

We have: [tex]41 = 21d - 7[/tex]. We add 7, to get rid of the 7, to the other side. [tex]41+7=21d. \\41+7=48.\\48=21d.[/tex]

41÷21, is[tex]\frac{16}{7}[/tex]

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive

eg. -2 +z=0

z =2

Answer:

Negative two is equal to negative two

Step-by-step explanation:

Kinda confused as to why you do not understand that expression...

Answer:

4degree

Step-by-step explanation:

Just divide 48 by 12 so as to get the temperature dropped in each hour

Anwnser 8

Step-by-step explanation:

2,4,6,8,32

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

Answer:

( C ) 428.1 ft²

Step-by-step explanation:

Alright, we know the surface area of a shape is the area the entire outside covers. So, we just need to find the areas of each side and add them together.

Let's start with the two rectangular sides. The dimensions of both of these are 10×12. The area of rectangles can be calculated by multiplying the length and width, so let's do that. Then, we will multiply this answer by two, so we have the areas of both rectangles.

10 · 12 = 120

120 · 2 = 240

The area of the two rectangular sides is 240 ft². We have 3 sides left to solve for.

Next, we will find the area of the triangular sides. Again, we will multiply the answer by two so we have the area of both. The area of the triangle can be found by multiplying [tex]\frac{1}{2}[/tex] the width by the height.

4.5 · 8.9 = 40.05

Multiply this by two for the area of both sides.

40.05 · 2 = 80.1

The area of the triangle sides is 80.1 ft².

The last side is also a rectangle, with the dimensions 9×12.

9 · 12 = 108

The bottom side has an area of 108 ft².

Now, we can add the areas together.

240 + 80.1 + 108 = 428.1

The surface area of the shape is 428.1 ft². The answer is C.

I hope this helps ^^

Good luck :)

Answer:

Volume = 0.5 x bas x area x hight( do this to find the volume)

LA = Use power rule which is "use to differentiate expressions". d/dL [L^n] = nL^n-1. A add all areas of the faces

SA = To find SA  do bh + 2ls + lb

Hope this helps you find your answer!

Answer:

26

Step-by-step explanation:

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Answer:

c = 2, d = - 3

Step-by-step explanation:

Expand and simplify the left side then compare the coefficients of like terms on both sides.

5(2x + 1) + c(x + d) ← distribute parenthesis

10x + 5 + cx + cd

= x(10 + c) + 5 + cd

Compare like terms on both sides, that is

10 + c = 12 ( subtract 10 from both sides )

c = 2

Then

5 + cd = 5 + 2d and

5 + 2d = - 1 ( subtract 5 from both sides )

2d = - 6 ( divide both sides by 2 )

d = - 3

Answer:

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

Step-by-step explanation:

P.S - The exact question -

Given - The diagram

To find - The number that represent Red, Silver and Blue color.

Proof -

Let the number printed in red color = r

Let the number printed in silver color = s

Let the number printed in blue color = b

Also,

Given that the equation is -

  b s r

  b s r

+ b s r

= r  r  r

Now,

We have to think of a number that if we add the last digit of the number gives the same last digit.

Bt inspection ,

the number would be 5

Because 5 + 5 + 5 = 15

Lat place of the equation is same

So,

The number printed on red color = 5

⇒r = 5

So, the equation becomes

  b s 5

  b s 5

+ b s 5

= 5  5  5

Now,

We have to think of a number whose last digit add up to 3  + 1 gives the last digit number 5 ( we add 1 because by adding 5 + 5 + 5 , we get 15 so we write the last digit 5 and 1 goes to the remainder and that remainder 1 will add up in the next number addition)(addition rule)

i.e.

s + s + s + 1 = number whose end digit is 5

By inspection,

The number would be 8

because 8 + 8 + 8 + 1 = 25

So,

we get

s = 8

So, the equation becomes

  b  8  5

  b  8  5

+ b  8  5

= 5  5  5

Now,

By same process , we will find the number of blue color

By inspection the number on blue color = 1

∴ we get

The number printed in red color = 5

The number printed in silver color = 8

The number printed in blue color = 1

and the equation is -

  1  8  5

  1  8  5

+ 1  8  5

= 5  5  5

Answer:Below

Step-by-step explanation:

A baseball is round.

So, the diameter and the height are the same.

The radius is half of the diameter, so: 2.5 x 2 = 5

The height is also 5.

The Volume is 65.45

Answer:

Step-by-step explanation:

The Volume is 65.45

Son el B el C y el E

Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.

36 + (12 - 8) + 2 × 5​

36 + 4 + 2 x 5

36 + 4 + 10

40 + 10

50

Answer:

[tex]50[/tex]

Step-by-step explanation:

Follow the PEMDAS order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction.

Calculate the Parentheses- (12-8)

This will equal 4.

[tex]36+4+2x5[/tex]

(x= times)

Multiply and divide, left to right.

[tex]2x5=10[/tex]

[tex]36+4+10=50[/tex]

Answer:

x = pi/2 and 11pi/6

Step-by-step explanation:

Given the trigonometry expression

cosx (2 sinx+1)=0

This can be written in two forms as;

cosx  = 0 and 2sinx + 1 =  0

If cos x  = 0

x = arccos0

x = 90degrees

x = pi/2

Similarly

2sinx  + 1 = 0

2sinx = -1

sinx = -1/2

sinx  =-0.5

x = aarcsin(-0.5)

x = -30

Since sin is negative in the third and 4th quadrant

x = 270 + 30

x = 330degrees

x = 330pi/180

x = 11pi/6

Answer:

(2, 8)  and (3, 11)    --- > For example

Step-by-step explanation:

Plug in any number for x

I will use 2.

So if the equation is y = 3x + 2, then the new equation will be ...

y = 3(2) + 2

y = 6 + 2

y = 8     ----> One coordinate can be (2, 8)

Another number you could use is 3.

y = 3(3) + 2

y = 9 + 2

y = 11    ----> Another coordinate may be (3, 11)

60Step-by-step explanation:

Answer:

300

Step-by-step explanation:

32x = 96 x 100

32x = 9600

9600 divided by 32 = 300

hope it helped

Answer:

C

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

Therefore, the decimal number 0.00067 written in scientific notation is 6.7 × 10-4.

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

Learn more about Percentage here :

https://brainly.com/question/626448

#SPJ2

Answer:

360

Step-by-step explanation:

Answer:

257.46

Step-by-step explanation:

1 mm = 0.1cm

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!