Answer:
(i) Yes
(ii) Yes
Step-by-step explanation:
We are given that
AB=AC
(i)D is the mid-point of BC
BD=DC
In triangle ADB and triangle ADC
AD=AD
Reason: Reflexive property
BD=DC
Reason:Given
AB=AC
Reason: Given
ADB
ADC
Reason:SSS postulate
Yes, triangle ADB is congruent to triangle ADC
(ii) Angle B=Angle C
Reason: CPCT
Yes , angle B=angle C
Answer:
Option B - 9 hours
Step-by-step explanation:
Given : Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36 hours. If one additional machine were used under the same operating conditions.
To find : In how many fewer hours of simultaneous operation could the production order be filled?
Solution :
Let the numbers of hours taken including additional machine i.e. 4 machines be 'x' hours.
So, 3 machines take 36 hours
and 4 machines take x hours.
Then,
i.e. 4 machines spend 27 hours to do work.
Number of fewer hours of simultaneous operation could the production order be filled is given by,
hours
Therefore, the work could be done in 9 hours less.
So, the correct answer is B.
Answer:
Step-by-step explanation:
Given
Required
Determine the new function
From the question, we understand that the new function wants the water to hit the ground 1 ft farther.
1 ft farther implies x + 1
So, in the given function, we substitute x + 1 for x in
This gives:
Expand Bracket
Collect Like Terms
Hence, the new function is: