Answer:
There are twelve factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. Factors of any number can be found using prime factorization
Step-by-step explanation:
Exterior Angle Theorem basically says that if there's an angle that makes a 180° with one of the angles of a triangle, the other two angles of that triangle must be equal to the angle outside.
In the context of this problem, that means m∠SAB is equal to m∠B + m∠C. Putting that into an equation would look like this: .
From here, we can solve for x with the usual methods. Here's how it would look: .
With x being six, we can now find the angle measures of all of the angles in the problem by plugging it into the angles that have x and using our rules along with our theorems from there. Let's start with ∠C, which is 6x + 11. It would look like this: . Now we know that m∠C is 47°, we can find the angle outside through exterior angle theorem again. We can set it up and solve it like this:
So we know that the exterior angle is 122°. We also know that the interior angle (the one inside that we don't know yet) is a supplementary angle to our exterior angle (meaning that their angles add up to 180° and that they make a straight line). From this, we can find the angle by subtracting 122 from 180. This gets us 58°.
So, your angles measures are the exterior angle being 122°, the interior angle being 58°, and m∠C being 47°. Also, your x value is 6.
An equivalent measurement to 2 meters is 200 cm. Since 1 meter is equivalent to 100 cm, multiply both of them by two. So, your answer is - 2 meters is equivalent to 200 cm.
Hope it helps :)
By definition of conditional probability,
Since , we have
so that either
which means the events A and B are disjoint, or
which means A and B are equally likely to occur.