Part a:
x + y = 55
y = x + 25
part b:
jackie runs 15 minutes every day.
part c:
it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
step-by-step explanation:
let's call and while jackie is dancing
let's call x while jackie is running
then we know that jackie runs and dances for a total of 55 minutes every day
this means that:
x + y = 55
we also know that jackie dances 25 minutes more than she runs.
this meant that:
y = x + 25
now we substitute the second equation in the first and solve for the variable x
x + x + 25 = 552x = 55-252x = 30x = 15
jackie runs 15 minutes every day.
now we find the value of the variable -y
15 + y = 55y = 55-15y = 40
note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run
when we divide a fraction, we flip the denomonator and numerator and then multiply by the fraction. So flipped 1/3 become 3.By multiplying 8 by 3 gave the same answer as in the 1st problem.
The answers in both problems are the same because of the rule of the division of the fraction
The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.
We can also see an a right angle is given to us at the bottom, this automatically means the left angle is also a right angle. This is the angle of SAS.
Lastly, we know they share another side because they’re sharing the same side exactly.
Answer:
v=16/3
Step-by-step explanation:
3(2v-9)=5
Multiply 2v and -9 with 3
6v-27=5
Add 27 to both sides
6v=32
Divide both sides by 6
v=16/3