The construction below demonstrates a hexagon inscribed in a circle.
Answer:
x<-10
Step-by-step explanation:
You can write this inequality:
5-x>15
Solving it:
5-x>15
-x>10
x<-10
The answer will be option a) 2y - x.
Let us take the number as y.
Twice the number will be 2y
Now if we subtract x from it, then the algebraic expression stands like this :
2y - x.
So answer will be option a.
N=5
AC = 33
AC = 150
Explanation:
If two chords intersect inside a circle, the products of their segments is equal. For this circle, this means that
(n+1)(18)=(n+7)(9)
Using the distributive property on both sides,
n*18+1*18 = n*9+7*9
18n+18=9n+63
Subtract 9n from both sides:
18n+18-9n=9n+63-9n
9n+18=63
Subtract 18 from both sides:
9n+18-18=63-18
9n=45
Divide both sides by 9:
9n/9 = 45/9
n=5
The measure of an inscribed angle is equal to half of the measure of the intercepted arc. For the second image, this means that
2.5x+4=1/2(7x-2)
Using the distributive property:
2.5x+4=1/2(7x)-1/2(2)
2.5x+4=3.5x-1
Subtract 2.5x from both sides:
2.5x+4-2.5x=3.5x-1-2.5x
4=1x-1
Add 1 to both sides:
4+1=1x
5=1x
5=x
Substitute this in for x in AC:
7x-2=7*5-2=35-2=33
For the third image, we have
75=1/2(AC)
Multiplying both sides by 2:
75*2=AC
150=AC
Answer:112.5
Step-by-step explanation:
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