(2x/3)-(5x/9)-(x/6)-(5x/12)=13/2 this equation is equivalent to:

Mathematics

1 answer:

agasfer [191]2 years ago

6 0

Answer:

-17x=234

Step-by-step explanation:

Given that:

$\dfrac{2x}{3}-\dfrac{5x}{9}-\dfrac{x}{6}-\dfrac{5x}{12}=\dfrac{13}{2}$

$\dfrac{72x-60x -18x-45x }{108} = \dfrac{13}{2}$

$\dfrac{-51x }{108} = \dfrac{13}{2}$

$-102x = 1404$

$-\dfrac{102x}{6} = \dfrac{1404}{6}$

-17x = 234

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What's is jiri's age ? <br> Pamela is 5 years younger than jiri. The sum of their ages is 37

Mars2501 [29]

If Jiri is x, Pamela is x -5, and tehri ages combined would be 35 so;
x + x-5 = 35
collect the like terms
2x-5 = 35
add five to both sides
2x= 40
divide both sides by 2
x=20
Jiri's age is 20

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3 years ago

15 points!!! GEOMETRY help please!!<br> Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
We know:

$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

$-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}$

So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$