Answer:
ΔNPM and ΔOMP by SAS postulate
B is correct
Step-by-step explanation:
In ΔNPM and ΔOMP
NP = OM (Given)
∠NPM = ∠OMP (Given)
PM = MP ( Common )
So, ΔNPM ≅ ΔOMP by SAS property of concurrency.
ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.
Therefore, SAS postulate use here
Hence, ΔNPM and ΔOMP by SAS postulate
Answer:
Attached file describes the set of 16 possible orders for this experiment
Step-by-step explanation:
<em>Please see attached file for tree diagram</em>
We have to build a tree diagram to represent this solution.
At level 1 we have 2 options: automatic transmission or standard transmission
At level 2, each of the 2 level-1 options split into 2 new options: with air conditioning and without air conditioning. Therefore, at this level, we have 2 x 2 = 4 options.
And, at level 3, each of the 4 level-2 options split into 4 new color options: red, blue, black or white. Therefore, at this final level, we have 4 x 4 = 16 possible orders
Please see the attached tree diagram for a better description of this set of 16 possible orders
Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
That would be..........
C) 62
62 x 1.25 = 77.50
109.75 - 77.50 = 32.25
32.25 / .75 = 43
So, 62 large at 1.25 ea.
and 43 small at .75 ea.