Answer:
See below.
Step-by-step explanation:
He could have started with the next prime number after 2 - that is 3.
This just changes the order of the numbers in the diagram. The number of primes will not change, just the order.
Answer:
3:40 p.m.
Step-by-step explanation:
Add 74 minutes to 1:25 p.m.; the improperly formed result witll be 1:99 p.m.; to express this properly, add 1 hour to this time and subtract 60 minutes from it:
2:39 p.m. (time at which Avery gets off the bus)
If Avery walked 61 minutes to get home and we want to know what time she arrived, we add 61 minutes to 2:39 p.m., obtaining 2:100 p.m., which must in turn be re-written as 3:40 p.m.
Avery arrived home at 3:40 p.m.
Note: another way in which to do this problem is to add 74 minutes and 61 minutes, obtaining 135 minutes, and then adding 135 minutes to 1:25 p.m. and making the necessary adjustments to the result:
1:25 p.m. + 135 minutes = 1:160 p.m., or (recognizing that 120 min = 2 hours)
3:40 p.m.
Answer:
Step-by-step explanation:
TO prove this we have to prove one of following.
SSS ( all three sides are equal )
SAS ( two sides and their middle angle is equal )
ASA ( two angles and their middle side are equal )
I am proving both triangles equal by ASA method.
The complete proof and explanation is given in attachment below.
Answer:
-4 and -3.
Step-by-step explanation:
Let the numbers be x and x+1.
From the given information:
x^2 + (x + 1)^2 + x = 21
x^2 + x^2 + 2x + 1 + x - 21 = 0
2x^2 + 3x - 20 = 0
(2x - 5 )(x + 4 ) = 0
x = 5/2 or -4 We ignore 5/2 as its not an interger
So the required integers are -4 and -3.
