Answer:
Step-by-step explanation:
![18 {u}^{2} - 50y \\ \\ = 2[9 {u}^{2} - 25y] \\ \\ = 2[(3 {u})^{2} - (5 \sqrt{y} )^{2} ] \\ \\ = 2(3u + 5 \sqrt{y} )(3u - 5 \sqrt{y} )](https://tex.z-dn.net/?f=18%20%7Bu%7D%5E%7B2%7D%20%20-%2050y%20%5C%5C%20%20%5C%5C%20%20%3D%202%5B9%20%7Bu%7D%5E%7B2%7D%20%20-%2025y%5D%20%20%5C%5C%20%20%5C%5C%20%20%3D%202%5B%283%20%7Bu%7D%29%5E%7B2%7D%20%20-%20%285%20%5Csqrt%7By%7D%20%29%5E%7B2%7D%20%5D%20%20%20%5C%5C%20%20%5C%5C%20%20%3D%202%283u%20%20%2B%205%20%5Csqrt%7By%7D%20%29%283u%20-%205%20%5Csqrt%7By%7D%20%29)
Answer:
Angles B and H= Alt exterior angles
Angles D and C= Adjacent angles
Angles B and F= Corresponding angles
Angles C and E= Alt interior angles
Answer: f (x) = 0.75 minus 0.25x
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1 + (n - 1)d
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a1 = 0.5
d = 0.25 - 0.5 = - 0.25
n = 25
The rule for the sequence is
an = 0.5 + (n - 1)-0.25
an = 0.5 - 0.25n + 0.25
an = 0.5 + 0.25 - 0.25n
an = 0.75 - 0.25n
Substituting f(x) for an and x for n, it becomes
f(x) = 0.75 - 0.25x
Answer:
C. every rhombus is a parallelogram
