The only common factor is (x -5).
Selection A is appropriate.
The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The relationship between the trigonometric ratios</h3>
The given parameters are:
- Scale factor of dilation, k = 2
- cos(X) = 2.5/5/59
Since the transformation is a dilation, it means that both triangles are similar.
So, we have:
cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)
<h3>The segments AC and AB. </h3>
In (a), we have:
Both triangles are similar.
This means that the corresponding points are:
X and A
Y and C
Z and B
So, we have:
AC = 2 * XY
AB = 2 * XZ
Read more about dilation at:
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D
given the 2 equations
x + 2y = - 8 → (1)
- 4x + y = 5 → (2)
multiply (1) by 4
4x + 8y = - 32 → (3)
add (2) and (3) term by term to eliminate term in x
9y = - 27 ( divide both sides by 9 )
y = - 3
substitute y = - 3 in either (1) or (2) and solve for x
(1) : x - 6 = - 8 ( add 6 to both sides )
x = - 2
solution is (- 2, - 3 ) → D
1/4 x 4/7
do the top numbers first. 1 x 4 is 4do bottom numbers next 4 x 7 is 28
that leaves you with 4/28. But you have to reduce.
4/28 = 2/14 = 1/7 (notice I just cut both the top and bottom numbers in half each time I reduced until I couldn't reduce any more).
So, final answer is 1/7
3,200(.28)=896
The highest amount you should pay for rent is $896.
