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fredd [130]
3 years ago
7

What is the value of x? 2(x+3)=x-4

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0

Answer:

x=−10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+3)=x−4

(2)(x)+(2)(3)=x+−4(Distribute)

2x+6=x+−4

2x+6=x−4

Step 2: Subtract x from both sides.

2x+6−x=x−4−x

x+6=−4

Step 3: Subtract 6 from both sides.

x+6−6=−4−6

x=−10

Nastasia [14]3 years ago
4 0

Step-by-step explanation:

2(x + 3) = x - 4 \\ 2x + 6 = x - 4 \\ 2x - x =  - 6 - 4 \\ x =  - 10

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​ Quadrilateral ABCD ​ is inscribed in this circle.
Sunny_sXe [5.5K]

Answer: m\angle A=116\°

Step-by-step explanation:

The missing figure is attached.

For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.

Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.

Knowing that, you can write the following equation:

x+28\°=180\°

Now you must solve for "x" in order to find its value. This is:

x=180\°-28\°\\\\x=152\°

Then:

m\angle D=152\°

You know that:

m\angle A=(x-36)\°

Therefore, since you know the value of "x", you can substitute it into   m\angle A=(x-36)\° and then you must evaluate, in order to find the measure of the angle A. This is:

 m\angle A=152\°-36\°\\\\m\angle A=116\°

4 0
3 years ago
Could someone pls explain this step by step? Really simplify it pls because I don't understand it at all.
Lunna [17]

Answer:

  • y = 2x -6
  • y = -x +2
  • y = 4/5x -2
  • y = -3/2x +4

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For these equations, writing them in slope-intercept form means "solve for y." You always do any "solve for ..." problem by undoing the operations that are done to the variable. Addition is undone by adding the opposite. Multiplication is undone by division.

As always, whatever operation we perform on one side of the equal sign must also be performed on the other side. That is how the equal sign remains valid.

__

<h3>a)</h3>

  1/2y = x -3

All we need to do is get rid of the coefficient of y. We can do that by dividing by 1/2, or multiplying by 2. The latter is easier to see, perhaps.

 2(1/2y) = 2(x -3)

  y = 2x +2(-3)

  y = 2x -6

__

<h3>b)</h3>

  x +y = 2

Here, we need to undo the addition of x. We do that by adding (-x) to both sides of the equation.

  -x +x +y = -x +2

  y = -x +2

__

<h3>c)</h3>

  4x -5y -10 = 0

This is a combination of the above operations. We can separate the y-term from the others by either subtracting the others, or adding the opposite of the y-term. We choose the latter, because that will give a positive coefficient for y. Adding 5y to both sides gives ...

  4x -5y +5y -10 = 5y

  5y = 4x -10 . . . . . . . . simplify and put y on the left

Now, we need to divide by the coefficient of y. We do that to both sides of the equation.

  5y/5 = (4x -10)/5

  y = 4/5x -10/5

  y = 4/5x -2

__

<h3>d)</h3>

  3x = -2y +8

We have a constant with the y-term. To get rid of it, we add its opposite to both sides.

  3x -8 = -2y +8 -8

  3x -8 = -2y

As before, we divide by the coefficient of y:

  (3x -8)/(-2) = (-2y)/(-2)

  -3/2x +4 = y

  y = -3/2x +4

3 0
2 years ago
Hailey bought 3 pounds of apples for $7.70. How much did she pay per pound?
7nadin3 [17]
2.57 is the anwser. it comes out to be 2.56666667 which woukd round up to 2.57
6 0
3 years ago
Read 2 more answers
In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says t
Y_Kistochka [10]

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77

8 0
3 years ago
Question 14(1 point)Find the rate of change of Pete's height from 3 to 5 years.17.Time (years) 123 4 15 16Height/in.) 27 35 37 4
kupik [55]

The rate of change of Pete's height from 3 to 5 years can be determined as,

\begin{gathered} \frac{\Delta H}{\Delta t}=\frac{H_5-H_3_{}}{5-3} \\ =\frac{45-37}{2} \\ =\frac{8}{2} \\ =4 \end{gathered}

Thus, the required rate of change from 3 to 5 years is 4 in/year.

5 0
1 year ago
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