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:
49.2 feet
Step-by-step explanation:
x=73/Tan56=49.2391=49.2
Step-by-step explanation:
angle B=angle E
5x=45
x=9
Answer:
d/7 = c
Step-by-step explanation:
-5c+d=2c
Add 5c to each side
-5c+5c+d=2c+5c
d = 7c
Divide each side by 7
d/7 = 7c/7
d/7 = c