Solve the following inequality using both the graphical and algebraic approach:

x/2 + 1 < 3x + 2​

Answer:

x = 52

m<ACD = 159

m<ACB = 21

Step-by-step explanation:

1) Set up an equation.

2x + 55 = 3x + 3 (the two interior angles on the opposite of the triangle and the exterior angle are equal to the exterior angle)

2) Solve for x.

2x + 55 = 3x + 3

-x + 55 = 3

-x = -52

x = 52

3) Substitute 'x' into each angle required to find m<ACD and m<ACB.

m<ACD = 3(52) + 3

= 156 + 3

= 159

CHECK:

2(52) + 55 = 159

104 + 55 = 159

159 = 159

m<ACB + m<ACD = 180

m<ACB + 159 = 180

m<ACB = 21

9514 1404 393

Answer:

  p < 16

Step-by-step explanation:

Dividing the inequality by a negative number will reverse the comparison.

  -3p > -48

  (-3p)/(-3) < (-48)/(-3) . . . . divide both sides by the coefficient of p

  p < 16

_____

Alternate solution

Add 3p+48 to both sides.

  -3p +(3p +48) > -48 +(3p +48)

  48 > 3p

Divide both sides by 3; no reversal is necessary.

  16 > p . . . . . same answer as above, without the comparison reversal

Answer:

4.5

Step-by-step explanation:

d=10-5.5

d= 4.5

we just need to minus 10 with 5.5 so that we can find d

Answer:

Point Form:

( − 7 , − 10 )

Equation Form:

x = − 7, y = − 10

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

y = -10

Step-by-step explanation:

4x - 4y = 12

Substitute the x with -7, since it has been given.

4(-7) - 4y = 12

-28 - 4y = 12

Add 28 onto both sides

-28 + 28 - 4y = 12 + 28

-4y = 40

Divide by -4 to isolate the variable

-4y/-4 = 40/-4

y = - 10

Check:

Substitute the y and x

4x - 4y = 12

4(-7) - 4 ( -10 ) = 12

-28 + 40 = 12

12 = 12

or.....

try to see if x stays as -7

4x - 4y = 12

4x - 4 (-10) = 12

4x + 40 = 12

Subtract 40 onto both sides

4x + 40 - 40 = 12 - 40

4x = -28

Divide by 4 onto both sides to isolate the variable

4x/4 = -28/4

x = -7

And it's correct

Hope this helped!

Answer:

Yes they are all correct. Great job!

Answer:

yep these are correct

Step-by-step explanation:

The total number of same-sized squares Saige made is 20

The given parameters are:

Rows = 4

Columns = 5

The number of same-sized squares is calculated as:

Square = Rows * Columns

This gives

Square = 4 * 5

Evaluate

Square = 20

Hence, the total number of same-sized squares Saige made is 20

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Answer:

Zero. The sum of anything and it's opposite is zero, that's how an opposite is defined . In this case, the opposite of 2x+1 is -(2x+1)=-2x-1 by the distributive property . Adding like terms, 2x+-2x+1+-1=0+0=0.

Aneser:

+98

Step-by-step explanation:

when you are adding something to something to something else u put a plus sign to add it hope this helps

Answer:

yes i think it is

Step-by-step explanation:

checked each of them

Answer:

the correct answer should be f-52=63

Step-by-step explanation:

6 1/2 / 2 1/4

13/2 x 4/9= 52/18

2 16/18

2 8/9

Answer:

x = 65.4

Step-by-step explanation:

Formula For Cos: cos (x°) = adjacent/hypotenuse

Adjacent = 5

Hypotenuse = 12

cos (x) = adjacent/hypotenuse

cos (x) = 5/12

x = cos⁻¹ (5/12)

x = = 65.3756816478359

x = 65.4 (rounded)

Tip: cos⁻¹ is inverse of cos.

Therefore, x = 65.4

Hope this helped! <3

Answer:

LEFT

Step-by-step explanation:

Answer:

Move to the right when you're subtracting a negative number.

Answer:

About $11.88 per foot

Step-by-step explanation:

Answer: the awnser is B

Answer:

In the Unicode standard, the symbol £ is called POUND SIGN, and the symbol ₤ is the LIRA SIGN.

Step-by-step explanation:

Just subscribed wish you the best on your channel!!!

Answer: kk

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Bro, again the same question))

a>17-8

a>9

Answer:

d  = -15/16

Step-by-step explanation:

To solve for D, you have to get D alone on one side of the equation (one side of the equal sign).

So get rid of the other numbers that are being added or subtracted to d first. To do that, you have to do the opposite of what is being done.

So u have +5 on the left, you have to minus it to get rid of it. Whatever you do on one side of the equation, you have to do to the other side

so 16d +5 minus 5 = -10  minus 5

the 5 cancels out on the left   and -10 - 5 = -15

now you have 16d = -15

Now you have to get rid of the 16. It's being multiplied to d so to do opposite is to divide it by 16. And whatever you do on one side, u have to do on the other.

16d divided by 16 = -15 divided by 16

16d/16 = d       -15/16  

So d = -15/16

For the expression, value of d is,

⇒ d = - 15/16

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 16d + 5 = - 10

Now, We can solve the expression as;

⇒ 16d + 5 = - 10

Subtract 5 from both side;

⇒ 16d + 5 - 5 = - 10 - 5

⇒ 16d = - 15

Divide by 16 both side;

⇒ d = - 15/16

Therefore, For the expression, value of d is,

⇒ d = - 15/16

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Answer:

.225

Step-by-step explanation:

45/200

Answer:

1.3 repeated is the answer

Answer:

Well if there is 8 cups and you want to divide it equally into 6 containers that would be 1.33 cups in each container

Answer:

the correct answer would be Y! i took it!! make me most brainlessly please!!!

Step-by-step explanation:

Answer:

7.41

Step-by-step explanation:

Vertical component:

S = 268.8

U = 0

V =?

A = 9.8

T=?

S = ut + 0.5at^2. u = 0

268.8 = 0.5x9. 8xt^2

T = 7.41 seconds

Answer:

4.42 seconds is the correct answer

Step-by-step explanation:

Answer:

x = -16/11

Step-by-step explanation:

28/(x+4)=11

28=11(x+4)

28=11x+44

11x=-16

x=-16/11

Answer: x=4

Step-by-step explanation:

28 divided by x+4=11

28 divided by x=7

28/7=4

Answer:

i think its 3.5 because of how it is going

Answer:

48 inches

Step-by-step explanation:

1 inch is 6 feet.

8 inches would be 48 feet.