Answer:
a) m arc AD = 145
b) D = 10
Step-by-step explanation:
a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.
The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°
The arc length is identical to the arc angle when measured between radii.
b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.
Diameter is twice radius = 10
Answer: A
If its around the line and the dots are going the same way than its accurate.
Answer:
(2a +b)·(13a^2 -5ab +b^2)
Step-by-step explanation:
The factorization of the difference of cubes is a standard form:
(p -q)^3 = (p -q)(p^2 +pq +q^2)
Here, you have ...
so the factorization is ...
(3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q
= (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit
= (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms
Answer:
Annika was 14 days late with her book.
Step-by-step explanation:
The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.
4.00 - 1.00 = 3.00
3.00/0.30 = 10
Therefore, Annika was 4 +10 = 14 days late with her book.
Answer:
a. Second Option
b. Second Option
c. Third Option
d.ASA
Step-by-step explanation: