In a circle, the internal vertical angles have a formula of

In this case, the formula would be:

We know that whole circle is 12x. And 12x is equal to 360°. When we put that into equation:


If x is 30°:

So, angle 7 is 90°.
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:

When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant

Given
r=3,m=216
Putting the values

The equation will now become

Putting r = 5

Hence,
The value of m is 1000 for r=5
Hello!
You can make two expressions based on what you know
let x equal the larger number
let y equal the smaller number
x + y = 95
x + 2y = 120
We can use elimination to get rid of x
You can subtract the two equation to get rid of x
-y = -25
Since y is negative we can multiply both sides by -1 to make y positive
y = 25
Now we can put this into one of the other equations to find x
x + 25 = 95
subtract 95 from both sides
x = 70
The answers are 70 and 25
Hope this helps!
Answer:

Step-by-step explanation:
Let v be the speed after the collision of both the cars.
Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

⇒
⇒
⇒
Thus, they are moving at the velocity of 
Answer:
x
,y
=
204
Step-by-step explanation: