Step-by-step explanation:
A leap year occurs every 4th year.
So, 1875 - 1700 = 175
Now let us divide 175 by 4

So, 43 leap years occur between the years 1700 and 1875.
Answer:


Step-by-step explanation:
Given


Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)

Collect Like Terms


Solve for x

Substitute 5 for x in 



Answer: The value of x in trapezoid ABCD is 15
Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.
One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.
With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.
Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;
3x + 3x + 9x + 9x = 360
24x = 360
Divide both sides of the equation by 24
x = 15
Therefore, in trapezoid ABCD
x = 15
Answer:
w = 4
YZ = 24
Step-by-step explanation:
Since, Y is a point lying between the points X and Z.
Therefore, relationship between the lengths of the segments will be,
length of segment XZ = length of XY + length of YZ
It's given in the question,
XZ = 12w - 8
YZ = 6w
XY = 4w
By substituting these values in the relation,
12w - 8 = 4w + 6w
12w - 8 = 10w
12w = 10w + 8
12w - 10w = 8
2w = 8
w = 4
Since, YZ = 6w
Therefore, YZ = 24
P=i/rt
P=1687.5/(0.09*10/12)
P=22500