1. What is the value of n?
1 answer:
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
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The total of how many pieces you have
Step-by-step explanation:
you should only make one equation:
75 + 45x = 30 + 55x
subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:
45 = 10x
Divide by 10 and get:
4.5 = x
After 4.5 hours, the cost is equal for either worker.
Answer:
x intercept = 3
y intercept = 2
X = velocity of plane
y = velocity of wind
x - y = 1680/5 = 336 mph .....(1) [ plane flying against the wind]
&
x + y = 1680/4 = 420 mph....(2) [ plane flying with the wind]
Adding (1) and (2) to eliminate y gives
2x = 756
x = 378 mph is the speed of the plane with no wind.
<u>well 8 divided by 4 is 2 and 11-8+2 is 5 and 5 times 4 is 20 so 20 is the answer
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