Since the angles sum of △ is 180°,here's the equation:
60°+65°+(8x+7)=180°
8x+7=180°-60°-65°
8x=55-7
x=48/8
x=6
Thus,the answer is x=6
Hope it helps!
Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So, 
Volume of cone is given by
By differentiating with respect to time t, we get that
Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie 
and h = 2 inches deep.
Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Take to total number of people attending and subtract the number of adults. The remainder are the children
2,451 - 745 = 1,706
Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
