Answer:
BC = 13
Step-by-step explanation:
Pitagoras:
H^2= 5^2 + 12^2
H^2=25 + 144
H^2= 169
H= V 169 ---- square root
H= 13 -------BC
First if this expression is true the result is -8x-3y+3∧2x
Second if you mean (3∧2)x=9x than the result is x-3y
Good luck!!!
Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23
Step-by-step explanation:
when intersecting 2 parallel lines by a third line the angles at the intersection points must be the same at both lines. otherwise they are not parallel, or the third one is not a straight line.
the second thing to know : all angles in top of a line (or below a line) are in sum 180 degrees. this is what is needed to e.g. rotate a stick around a point on the line from one side to the other.
knowing all this we then know, that the angle right "under" the (8x -9) degree angle is also 53 degrees (or the angle above the 53 degree angle is (8x - 9) degrees).
and we know then that the sum of both angles is 180 degrees.
(8x - 9) + 53 = 180
8x - 9 = 127
8x = 136
x = 17