Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour
At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =
where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:
Putting all the values we get,
Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
It will be D. because you have to add the like terms which is 13 + 5 which will be 18 and so 10p doesn't have no like terms it just stays the same so it will be 10p+18
Answer:
A) 83 km/ hour
B) 2/7 penalties / game
C) $16 / CD
D) 9 donuts / box
Step-by-step explanation:
A)
For this question they are asking for the distance traveled in 1 hour.
Since 747km was travelled in 9 hours, we divide 747 by 9 to find the distance travelled in 1 hour
747 ÷ 9 = 83
The unit rate is 83 km/ hour
B)
You have to find the number of penalties per game
Like before divide 10 by 35:
10 ÷ 35 = 10/35 = 2/7
2/7 penalties / game
C)
Find the cost of 1 CD :
64 / 4 = 16
$16 / CD
D)
Find the amount of donuts per box:
72/8 = 9
9 donuts per box
-Chetan K
