We know that
applying the Pythagoras theorem
LM²=LV²+VM²
LM is the radius of the circle
LV=5 in
VM=12/2----> 6 in
so
LM²=5²+6²-----> LM²=61------> LM=7.81 in------> LM=7.8 in
the answer is
7.8 in
Answer:

Step-by-step explanation:
Given


Required

This is calculated as the number of women divided by the population of the class
i.e.

So, we have:


Answer:
x=5
y=2
Step-by-step explanation:
5x + 3y= 31
-6x - 3y = -36 (multiple by -3)
-x=-5
x=5
2(5)+y=12 or 25 + 3y= 31
10+y=12 3y=6
y=2 y=2
Step-by-step explanation:
Part A: We can write 40 + x + 25 = 180 because these angles are supplementary, meaning they add up to 180 degrees, and when we solve for x, we get x = 115°.
Part B: We can write y = x + 25 because these two angles are vertical angles, meaning they are equal and formed from the same lines. We know that x = 115°, so when we plug that in we get y = 140°.
Part C: z = 40° because these two angles are vertical angles. I hope this helps!