Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of , we need to add together all the interior angles and equal it to 720, then solve for .
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10 - 5) + 108 + (8 - 3) + (14 - 25) + 133 + 128 = 720
Collect like terms:
10 + 8 + 14 - 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32 + 336 = 720
Subtract 336 from both sides:
32 = 384
Divide both sides by 32:
= 12
The constant of proportionality is equal to k in y=kx. In y=10x, the k value is 10.
Final answer: C. 10
Answer:
0.22
Step-by-step explanation:
4 or less let it rest, 5 or more add one more!.
8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22
Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
Answer:
with?
Step-by-step explanation: