In a youth camp, each participant must take part in at least one of the following activities: chess, backgammon or dominoes.
Of the total of 55 in the camp, 25 participants participated in chess,
24 in backgammon, and 30 in dominoes, 15 in both chess and
backgammon, 10 in both backgammon and dominoes, 5 in both
chess and dominoes, and 2 in all three events.

Find the number of participants who:
a) take part in one activity only
b) take part in exactly two activities
c) do not take part in at least two activities
d) take part in chess, given that they take part in dominoes
e) take part in backgammon, given that they do not take
part in dominoes.

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

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.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w