All categories

3 years ago

HELP PLEASE GEOMETRY find x and y

Mathematics

1 answer:

dimulka [17.4K]2 years ago

3 0

$3x + 30 + 2x - 20 = 360 \\ 5x + 10 = 360 \\ 5x = 350 \\ x = 70$
$y = \frac{3x + 30 - 2x + 20}{2} = \frac{x + 50}{2} = \frac{120}{2} = 60$

You might be interested in

What is tan(B)? B 5 13 5 12 ? tan(B) = = Enter

SOVA2 [1]

Answer:

tan B = 12/5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan B = 12/5

3 0

1 year ago

Please hurry Solve: -23 = x - 23 *

Monica [59]

Answer:

x = 0

Step-by-step explanation:

add 23 on both side and x equals zero

substitute x for 0, and the equation is still correct

7 0

2 years ago

Read 2 more answers

Write 111 as a decimal.

vagabundo [1.1K]

Answer:

So, 7 is the decimal equivalent of the binary number 111

Step-by-step explanation:

3 0

2 years ago

What is meter to millimeters equal

oksano4ka [1.4K]

1 meter = 1000 millimeters

5 0

2 years ago

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'

AleksandrR [38]

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

 $\dfrac{9}{10} = x + \dfrac{3}{5}$

$x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}$

$c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0

3 years ago