Answer:
The answer in the procedure
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding interior angles are congruent
so
substitute the values
-----> is true
Therefore
JK is parallel to MN
Triangles OMN and OJK are similar by AA Similarity Postulate ( The three interior angles are congruent)
Because
m<OKJ=m<ONM ----> by corresponding angles
m<KJO=m<NMO -----> by corresponding angles
m<JOK=m<MON -----> is the same angle
X = 3 and x = -1 are the answers for both. They are exactly the same equation.
FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.
USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.
This would be easy if you made more sense out of the question.
We can use point-slope form (since we have the slope, and 1 ordered pair)
point-slope form is y-y1=m(x-x1)
x=-5
y=4
m=3
y-(4)=3(x-(-5)
<em>Answer:</em>
n²+3
<em>Explanation:</em>
The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.
4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25
In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!
1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28
Hope this helps !! :D
