Capucine played a game where she earned 179 points from building 11 museums and 4 libraries. she earns 4 more points per museum than per library. how many points does capucine earn for each thing she builds?

Let the points Capucine earned in library be l and the points she earned in museum be m.

So, 4l + 11m = 179        (1)

She earns 4 more points per museum than per library.

m = l + 4

Substitute the value of m in (1), we get,

4l + 11(l + 4) = 179

4l + 11l + 44 = 179

15l + 44 = 179

15l = 179 - 44

15l = 135

l = 9

m = l + 4

   = 9 + 4

   = 13

Hence, Capucine earns 9 points in building a library and 13 points in building a museum.

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

78.59 is the mean

step-by-step explanation: