The value of x is 20.
Solution:
Sides of one triangle are 2x – 4 and 39.
Sides of another triangle are x + 6 and 24.
<u>Property of similar triangle:</u>
<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

Do cross multiplication.




Divide by 2 on each of the term.

Solve using quadratic equation.



Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.
Therefore x = 20.
Answer:
x = -1
Step-by-step explanation:
<h2>
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Answer: A golfer finds himself in two different situations on different holes. On the second hole he is 120 m from the green and wants to hit the ball 90 m
Step-by-step explanation:
Answer:

Step-by-step explanation:
Proportional functions can be represented by
, where
is a constant of proportionality and
represents any point the line passes through.
In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:
