Find X using the given information

Just so you hear, Whirlybot,  these circle problems are always "tricks"  and they are tough.  You have to remember a bunch of implied things

Step-by-step explanation:

One thing to recall is that the angle from the tangent point to O at the center is also a 90° angle.  so you now know, that the line from the point where the circle touches the tangent line to the center is a right angle and you have part of that 90° already.  the 50 is one part and there for the next part is 40 °  Since we now know that the line from the tangent to the center is forming an internal angle with that line going to X of 40 °  we know that X is also 40 ° b/c the triangle formed by the line to the center is going to be the same length as the line from the center to the X.  That's an Isosceles triangle.  they have the same angles at the two same length legs.  

I know, I went thur a whole pile of logic, but that's what makes this kind of problem tough.   you just have to keep thinking about things you know.

X = 40 °

s + (a + 178) = 2000

step-by-step explanation:

2000 - 178 = 1822

1822 / 2 = 911

911 + 178 = 1089

1089 + 911 = 2000

abha = 1089

shane = 911

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following