Answer:
AD = 27 units
Step-by-step explanation:
In the above question, we have a circumscribed Polygon, were circle XYZ is inside the polygon ABCD
We were given the following side
AB=21 units
BC=24 units
CD=30 units
Side AB = AW + BW
21 units = x + 21 - x
Side BC = BX + CX
BX = BW , hence BX = 21 - x
Side BC = 21 units
24 = 21 - x + CX
CX = 24 - (21 - x)
CX = 24 - 21 + x
CX = 3 + x
Side CD = CY + DY
Note that: CY = CX, hence, CY = 3 + x
Side CD = 30 units
30 = 3 + x + DY
DY = 30 - (3 + x)
DY = 30 - 3 - x
DY = 27 - x
Side AD = AZ + DZ
Note also that:
AZ = AW , hence AZ = x
DY = DZ , hence DZ = 27 - x
Side AD = x + 27 - x
Side AD = 27 units
Answer:
A)
Step-by-step explanation:
We know that the expression (x^2 - a^2) can be written as (x-a)(x+a). So an expression of this type: (x^2 - a^2) wouldn't be completely factored because it could be factorized even more.
So we know that 36 = 6^2, 49= 7^2 and 81 = 9^2. So if we choose any of these options (Option B, C and D) it wouldn't be completely factored.
The correct is the option A, given that if a=12, it wouldn't be a perfect square, so it would be completely factored.
Step 3: the student missed +4 in the equation while adding both equation
Jill ran faster. I know because I compared both of their unit rates.
Jack's unit rate is 5/42.5 = 0.118 mile per minute (rounded)
Jill's unit rate is 3/23.25 = 0.129 mile per minute (rounded)
Jill runs a greater part of a mile per minute than Jack does.
She is faster. There's no getting around it.
