Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
- AB and DE
- BC and EF
- AC and DF
The side lengths are:




Because the shapes are congruent, and AC corresponds to DF.
This means that:

So, we have:

Collect like terms


Divide both sides by 5

<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
brainly.com/question/12413243
Please look at the picture. If you can't see it, I'll write it out for you.
Answer:
The solution to the equation is x = 0.38 or -18.38
Step-by-step explanation:
x^2+18x=7 can be properly written as

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides
i.e 18/2 = 9
Then add 9² to both sides of the equation

This becomes





∴ 

Hence, x = 0.38 or -18.38