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Alekssandra [29.7K]
3 years ago
11

What is the vaule of x

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

\dfrac{AB}{DB}=\dfrac{AC}{DC}

In our triangle we have the proportion:

\dfrac{AD}{AC}=\dfrac{BD}{BC}

We have

AD = 2.25, AC = 3, BC = 4, BD = x.

Substitute:

\dfrac{2.25}{3}=\dfrac{x}{4}

\dfrac{x}{4}=0.75        <em>multiply both sides by 4</em>

\boxed{x=3}

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Please explain this step by step.<br><br> 5+4(n+9)=-3
Blababa [14]

Answer:

n = -11

Step-by-step explanation:

5 + 4(n + 9) = -3,

5 + 4n + 36 = -3,

41 + 4n = -3,

4n = -44,

n = -11

8 0
3 years ago
Read 2 more answers
Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
4x-11y=68 ; 6x+5y=-27 by elimination
zimovet [89]

Answer:

x=\frac{1}{2}\\\\y=-6

Step-by-step explanation:

Given the following system of equations:

\left \{ {{4x-11y=68} \atop {6x+5y=-27}} \right.

In order to solve the system of equations using the Elimination Method, you can follow these steps:

- Multiply the first equation by -6 and the secondd equation by 4.

- Add both equations.

- Solve for "y".

Then:

\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=\frac{-516}{86}\\\\y=-6

- Substitute the value of "y" into one of the original equations and solve for "x":

6x+5(-6)=-27\\\\6x=-27+30\\\\x=\frac{3}{6}\\\\x=\frac{1}{2}

4 0
3 years ago
Jack wants to buy a pair of trousers for $60. When he went to the store he found that the e. price was marked down by 20%. How m
kenny6666 [7]
The price is $18 now 
4 0
3 years ago
Cho xOz ‘ và yOz ‘ là 2 góc kề bù. Gọi Ot là phân giác của yOz ‘. Biết xOz ‘ = 50◦ , tính xOt
ch4aika [34]

Answer:

ask in English then I can help u

5 0
3 years ago
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