Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:
Step 1: Rewrite the problem
-14 + 7 = ?
Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.
This means we would have to really subtract 7 from 14 to get 7.
Step 3: Keep the sign of the greater number
Since 14 is greater than 7, we will keep the negative sign in accordance.
Step 4: Simplify
-14 + 7 = -7
Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.
Answer:
z= 115 (vertically opposite angles)
x= 65 (straight angle) 180-115=65
y=65 (vertically opposite angle)
Step-by-step explanation:
Answer: do a proportion
Step-by-step explanation:
So it would be a number over a number and equals X over a number.
Answer:
1125&825
Step-by-step explanation:
Answer: Choice D
(a-e)/f
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Explanation:
Points D and B are at locations (e,f) and (a,0) respectively.
Find the slope of line DB to get
m = (y2-y1)/(x2-x1)
m = (0-f)/(a-e)
m = -f/(a-e)
This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.
Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.
