In this figure, what can be concluded about the distance from point b to cd?

Option D is right

Step-by-step explanation:

Given in the picture is a line segment AB.

From A and B an arc is drawn with equal radius to intersect at point C above AB and point D below AB.

CD is joined.  Let E be the point of intersection of AB and CD

Now we find that CD is the perpendicular bisector of AB.  (This is because AC=CB, AD=DB and CD is common.  Hence ACD and ABD are congruent triangles by SSS theorem

By CPCT property for triangles, we get AE= EB and also

Angle AEC =BEC =90

Hence distance of A from CD is AE which equals BE, the distance of B from CD

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi