630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210
Answer:
Distance between mall and library is 6.32 miles.
Step-by-step explanation:
Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).
Since, distance between two points 
and 
is given by,
Distance = 
By this formula,
Distance between (2, 4) and (8, 4) will be,
Distance = 
= 
= 
= 6.32 miles
Answer:
X > 21000
Step-by-step explanation:
Given the following :
Payment plans :
PLAN A:
salary = $1000 per month
Commision = 10% of sales
PLAN B:
salary = $1300 per month
Commision = 15% of sales in excess of $9,000
Hence, for plan B; 15% is paid after deducting $9000 from total sales
For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?
That is ;
Plan B > plan A
Let total sales = x
Plan A:
$1,000 + 0.1x
Plan B:
$1,300 + 0.15(x - 9000)
1300 + 0.15(x - 9000) > 1000 + 0.1x
1300 + 0.15x - 1350 > 1000 + 0.1x
0.15x - 50 > 1000 + 0.1x
0.15x - 0.1x > 1000 + 50
0.05x > 1050
x > 1050/0.05
x > 21000
Answer:
x = 135 degrees
Step-by-step explanation:
For any simple n-gon, the sum of the interior angles is 180(n − 2) degrees. (n is the number of vertices)
180(6-2)=180(4)=720
the shape already has 2 90-degree angles, subtract both of those from total interior angle sum
720-90-90=540
the 4 angles left must make up 540 degrees
540/4=135
x=135 degrees
