Answer:
Angle DBC = 51
Step-by-step explanation:
Angle ABC = angle ABD + angle DBC
We are given that angle ABC = 122 and angle ABD = 71
So 122 = 71 + angle DBC
* Solve for angle DBC *
Subtract 71 from both sides
122 - 71 = 71 - 71 + angle DBC
51 = angle DBC
Answer:
first one is correct
Step-by-step explanation:
length of a rectangle = 2b - 8c
breadth of a rectangle = 10b + 6c
now , formula to calculate the perimeter of rectangle is
p = 2 (l + w)
no substitute the value of l(length) and w(width)
p = 2{(2b - 8c) + (10b + 6c)}
p = 2(2b - 8c + 10b + 6c)
p = 2(12b - 2c)
p = 24b - 4c
Function rule: a = 20w + 115
Slope: 20
Initial value: 115
------------------------------------------
We start with $115 in the account. This is the initial value. Each week we add on $20.
So we add $20 for 1 week
We add 2*20 = $40 for 2 weeks
We add 3*20 = $60 for 3 weeks
etc etc
In general, we add 20*w dollars for w weeks onto 115 to get a = 20w+115
The slope is 20 because this is the rate of change, ie how fast the account grows. It grows 20 dollars per week.
Answer:
4
Step-by-step explanation:
We can actually make the two equal each other like so:
3d-4=12d/6
Multiply both sides by 6:
18d-24=12d
Add 24 to both sides:
18d=12d+24
Subtract 12d from both sides:
6d=24
Divide by 6:
d=4
4
