Answer:
20 degrees
Step-by-step explanation:
the angle that is showing 160, if it's attached to the straight line it's 180, but subtract 160-180 then you get 20, which is missing angle x
Y=-x+8
gradient of the parallel line is the same as the gradient of the line given, which is -1
to find the y-intercept, sub the values (9,-1) into the equation we are finding which is y=-x+c
The percentage of profit margin that
the plumbing supplies manager realizes that he has = 15%
Total sales for the month made by the plumbing supplies manager = $23000
Then
Amount of profit that has been made
by the plumbing sales manager = 15% * 23000 dollars
= (15/100) * 23000 dollars
= 15 * 230 dollars
= 3450 dollars
So the plumbing manager makes a profit of $3450 in the month as can be seen from the above deduction.
Answer:
133,784,560
Step-by-step explanation:
using the combinations formula: n!/(n-r!)r!, the equation would be 52!/52-7! x 7! which is simplified to 52!/45!7! which is equal to 133,784,560
Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
