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lara [203]
2 years ago
5

Determine the value of X AB is the mid segment of triangle LMN. Determine the value of X

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
7 0

Answer:

<h2>B.  4</h2>

Step-by-step explanation:

Since ,AB is the mid segment of triangle LMN

Then

\Longleftrightarrow AB=\frac{MN}{2}

\Longleftrightarrow x+8=\frac{5x+4}{2}

\Longleftrightarrow 2\times(x+8)=5x+4

\Longleftrightarrow 2x+16=5x+4

\Longleftrightarrow 16-4=5x-2x

\Longleftrightarrow 3x=12

\Longleftrightarrow x=\frac{12}{3}=4

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∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
Mama L [17]

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

x = 2

This should be your answer. Have an awesome day! :)

3 0
3 years ago
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0
2 years ago
I NEED THE ANSWER PLS :)
Andre45 [30]

Answer:

x = 48

Step-by-step explanation:

It is a 90 degree angle. So first you would subtract 42 from 90 degrees. Then you'd get your answer! Hope this helped

4 0
3 years ago
Read 2 more answers
Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded
Stella [2.4K]

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

To learn more about the compounded continuously visit:

brainly.com/question/16731646.

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7 0
1 year ago
Find the surface area of the rectangular and triangular prisms
harina [27]
Is there a picture to this????

if your just asking how to find  the area of something all you need to do is multiply all the numbers together and the total is the area.
For example if its 8cm,3cm,2cm all you need to do is multiply them together
8x3x2=48  so your area is 48cm
7 0
3 years ago
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