Answer: 48
Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.
Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:

In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have
. So



A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when ![v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}](https://tex.z-dn.net/?f=v%20%3D%2048%2C%20t%20%3D%20x%20%2B%202%5Btex%5D.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5Dv%20%3D%20%5Cfrac%7Bd%7D%7Bt%7D)

Since 

Applying cross multiplication





So the distance is:

They are 240 kilometers apart.
Answer:
x = -3, y =3
Step-by-step explanation:
y = -4/3x - 1
y = 1/3x + 4 -------> 4y = 4/3x + 16
Adding the first equation and the new second equation together:
5y = 15 ------> y = 3
Plug y = 3 into one of the original equations:
3 = 1/3x + 4
-1 = 1/3x
x = -3
Answer: x = 30°
Concept:
Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.
An <u>isosceles triangle</u> is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.
The <u>vertical angle theorem</u> states that two vertical angles formed when two lines intersect each other are always equal to each other.
Solve:
<u>Find the other base angle of the isosceles triangle.</u>
Since there are two equal sides, we know that this is an isosceles triangle.
Since the definition said that the base angles are equal, the other base angle would also be x.
<u>Find the value of x</u>
According to the vertical angle theorem, two vertical angles formed by intersection are equal.
Just as angle x and 30°, are vertical angles formed by intersection, therefore, 
Hope this helps!! :)
Please let me know if you have any questions