Answer:
11:13
Step-by-step explanation:
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
Combine like terms
-7w+8=16-15w
Add 15w to both sides
8w+8=16
Subtract 8 from both sides
8w=8
Divide both sides by 8
w=1
Final answer: w=1
Answer:
Alternative A is the correct answer.
Step-by-step explanation:
For a function to have y-axis symmetry then it must be an even function such that; f(-x) = f(x). In alternative A, y = x^2 is an even function since; y(-x) = (-x)^2 = x^2 = y(x). The second function is also even since it has the absolute symbol. Finally, the cosine function is always an even function since cos(-x) = cos(x)
Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
And the scale factor =
=
=
=
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5