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a_sh-v [17]
2 years ago
10

How can I find the value of X?​

Mathematics
1 answer:
BARSIC [14]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8)                      Cross multiply

10(x + 8) = 8 * 18                     Simplify both sides

10x + 80 = 144                        Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64                                   Divide by 10

10x/10 = 64/10

Answer: x = 6.4

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What is the value of x, the acid concentration of the first solution?
bezimeni [28]

Answer:

A) 0.05

Step-by-step explanation:

Let's summarize into an equation the information we can get from that table.

We have 4 liters of an acid of an unknown concentration, let's call it (4x).

We have 10 liters of an acid with known concentration of 0.40.

And we have a total of 14 liters overall with a concentration of 0.3o.

That's like a weighted average formula: 4x + 10 y = 14z  

Let's replace the concentration values we know and solve this:

4x + 10 (0.4) = 14 * 0.3  

4x + 4 = 4.2

4x = 0.2

x = 0.05

So, the concentration of the 4 liters of acid on concentration X are in fact of concentration of 0.05.

6 0
3 years ago
Read 2 more answers
190 m<br> 90 m<br> 10 m<br> 40 m<br> What is the area
liberstina [14]

Answer:

Rect Area= Lw

3D Rect Area= 2(wh+lw+lh)

Step-by-step explanation:

7 0
3 years ago
What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%
USPshnik [31]

Answer:

12\dfrac 12\%

Step by step explanation:

\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72

4 0
2 years ago
X + one over two(6x − 4) = 6
Maurinko [17]

The given equation is:

x+\frac{1}{2} (6x-4)=6.

Multiplying both sides by 2 we have:

2x + 6x − 4 = 12 [ multiplication property of equality]

Combining like terms:

8x-4=12

Adding 4 both sides

8x=16.[Addition property of equality]

Dividing both sides by 8:

x=2 [Division property of equality.]

The correct option in which the equation is solved are : B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

7 0
3 years ago
Solve for w: -4(w+1)=-24 Please explain this like you would a 2 year old and please explain it so it is the easiest way to solve
Andrews [41]

Answer:

Step-by-step explanation:

The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.

Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.

These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.

You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:

  1. eliminate parentheses first, using the distributive property
  2. divide by -4 first, to undo the multiplication

The second method is actually faster. We'll illustrate that one first.

__

Divide both sides of the equation by -4 to undo the multiplication by -4.

  -4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do

  w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division

Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:

  w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do

  w = 5 . . . . . . . . . . .  here is the result of that addition

The solution of the equation is ...

  w = 5

__

Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:

  -4(w +1) = -24 . . . . . . . given

  -4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses

We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.

  -4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4

  -4w = -20 . . . . . . . . . . . . . the result of adding +4

Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.

  -4w/(-4) = -20/(-4) . . . . . . indicate the division

  w = 5 . . . . . . . . . . . . . . . . the result of doing the division

The solution of the equation is ...

  w = 5

_____

Our basic approach is to <em>undo the operations done to the variable, in the reverse of the order in which they are done</em>. In that process, we observe the rules of equality: <em>whatever operation you do to one side of the equation must also be done to the other side</em>. (My teacher called this last rule: "keep the equal sign sacred.")

You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.

3 0
3 years ago
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