The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
<h3>Similarity theorem of triangles</h3>
For two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.
From the given figures, the expression that can be used to prove that the triangles are similar is as shown;
UV/ZY = WU/ZX = WV/XY
Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Learn more on similar triangles here; brainly.com/question/11920446
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Answer:
-4>x and 5≤=x
Step-by-step explanation:
Hope this helps!!!
Answer:
-63
Step-by-step explanation:
Given the expression:

Using the law of indices, this can be written as:

This shows that the value of A is -63
A linear function has the form y=mx+b
if you insert the point (0,5) in this you receive:
5=m*0+b
5=b
(remember b is the distance to the x axis at x=0, so you can read it directly of)
To get m you insert (4,8) and the previous b:
8=m*4+5
3=4m
3/4=m
your line is: y=3/4x+5
(also this question is a duplicate of #3469085 by you :) )
So the equation to find the discriminant is √(b^2 - 4ac), with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation above, we can solve for it as such:

Since the discriminant is greater than zero and a perfect square, this means that there are 2 real, rational solutions to this polynomial.