Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So





Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
Answer:
53
Step-by-step explanation:
So all you have to do is multiply 1.06 * 50 = 53
a. The general equation for a circle centered at
with radius
is

The described circle has equation

We know the circle passes through the origin. This means that the equation above holds for
and
. The distance between any point on the circle and its center is the radius, so we can use this fact to determine
:

So the circle's equation is

b. If the distance between point B and the center is less than
, then B lies inside the circle. If the distance is greater than
, it falls outside the circle. Otherwise, if the distance is exactly
, then B lies on the circle.
The distance from B to the center is

, so
, which means B falls outside the circle.
Answer: Displacement=12 m north
Step-by-step explanation:
12 m north
Let’s assume
north= positive
south=negative
12+(-16)+22+(-6)=12
Answer:
Good hand writing. What a joke