What is the value of x in the figure above? ^^

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

7 0

First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165

Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.

You might be interested in

The coordinates of the vertices of quadrilateral ABCD are A(-5, 1), B(-2,5), C(5, 3),

sladkih [1.3K]

Step-by-step explanation:

To calculate a slope, we need to apply: $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Applying formula to each slope:

$m_{AB}=\frac{5-1}{-2-(-5)} = \frac{4}{3} \\m_{BC}=\frac{3-5}{5-(-2)} =\frac{-2}{7}\\m_{CD}=\frac{-1-3}{2-5}=\frac{-4}{-3} =\frac{4}{3}$

So, as you can see, there are equal pair of slopes, meaning that they are parallels, which<em> demonstrate that it's actually a quadrilateral figure.</em>

6 0

3 years ago

Read 2 more answers

The points (2,4) and (-2,-4) are plotted on a coordinate plane the equation is y = a * x what is A?

laila [671]

A equals to 2.

<u>Step-by-step explanation:</u>

y = mx + c is the equation of the line and m is the slope and c is the y- intercept.

In the given equation, y = ax , a is the slope.

Slope A can be found by means of the formula, and using the points (2,4) and (-2-4)

slope, A = (y₂ -y₁) / (x₂-x₁)

Plugin the values as,