Answer:
2.3=v+0.47v=
We move all terms to the left:
2.3-(v+0.47v)=0
We add all the numbers together, and all the variables
-(+1.47v)+2.3=0
We get rid of parentheses
-1.47v+2.3=0
We move all terms containing v to the left, all other terms to the right
-1.47v=-2.3
v=-2.3/-1.47
v=1+0.83/1.47
Answer:
10:30PM on the next day
Step-by-step explanation:
First movie = 85mins
intermission = 5mins
Total time = 90mins which is 1:30PM
so the first movie will start again at 1:30PM, which is at the interval of 90minutes and it will run continuously.
Similarly the second movie is 110 minutes long + 5mins intermission which is 115minutes
Time = 1:55PM
so the second movie starts again at 1:55PM and runs continuously at an interval of 115minutes.
We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.
LCM of 90,115 = 2070
Therefore after 2070minutes movie will start again at the same time.
2070mins = 34hours and 30 minutes
adding this with noon
10:30PM on the next day.
Answer:
135 = x
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to and exterior angle that is supplementary to the third interior angles
88 + 47 = x
135 = x
Since we are going to check the similarity of the triangles and we have given two sides and angle we have to check the Side-Angle-Side option of the similarity. We have equal angles. Then, we have to check the proportionality of the sides. If these triangles are equal, then VT/QR=UT/RS. If we calculate it, 28/7=44/11=4. This last number is the similarity ratio and since we have proportionality, ΔQRS <span>~ </span>ΔVTU. The correct answer is D)