A circle is randomly painted with small splotches of three different colors. One-eighth of the circle is red, two-sevenths of the circle is blue and the rest is green. What is the probability that a randomly thrown dart will land on the green area? Express the probability as a fraction. (HINT: Find the common denominator for the three fractions before solving).

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the answer is a if my teacher taught me correct

i believe it's a.

i'm not sure on this one, most likely correct.