Answer:
3/4
Step-by-step explanation:
3/4 is equal to 6/8, and 6/8 is smaller than 7/8
so your example can work as -1(x+10), factoring out coefficients usually pertains to finding the highest number (and variable) that an equation can be multiplied by, note that a variable can work the same 2x^2(x+2) is the same as 2x^3+4x^2
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:
-4.25
Step-by-step explanation:
All of these answer choices are rational numbers.
-5.5 is past -5, and not between -4 and -5.
-4.25 is between -4 and -5, so that looks like an obvious answer choice.
4/5 is 0.8, which is not close to -4 and -5. It is also a positive number which is definitely not between -4 and -5, which are negative numbers.
4.5 is not between -4 and -5 seeing as it is a positive number.
Therefore, looking at all of the answer choices, the final and correct answer is -4.25, or the second answer choice.