Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.
Answer:
D.
Step-by-step explanation:
Choices A., B., and C. are always true.
Choice D. is true only for rectangles with congruent sides, which are squares.
Answer: D.
Answer:
x = -5
Step-by-step explanation:
-5(1 - 5x) +5(-8x - 2) = -4x – 8x
First lets simplify each side of the equation.
-5+25x-40x-10 = -4x-8x
Combine like terms
-15x-15=-12x
Add 15x to both sides (addition property of equality)
-15=3x
Divide each side by 3 (division property of equality)
x=-5
The answer is x = -5
21.12 is 25.6% of 82.5. I hope this helps. :)
Answer:
226.796
Step-by-step explanation: