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
A^2 - b^2 = (a - b)(a + b)
169x^2 - 64 = (13x - 8)(13x + 8)
Answer:
5/13
Step-by-step explanation:
Cosine ratio for an angle is defined as the ratio of Adjacent side to Hypotenuse.
We have to find the cosine ratio for angle F. The side adjacent to angle F is side GF and the hypotenuse of the triangle is side FH. The side opposite to the right angle is always the hypotenuse.
So, we can write:

Therefore, the cosine ratio of angle F is 5/13
With the same base of 3, multiplying numbers with different exponents means that you add the exponents. Making your final answer 3^(2+4+6), or 3^12.
Answer:
67.65%
Step-by-step explanation:
Look for the difference between the two amounts:
$510-$165=$345
$345 is the amount that was "discounted" originally, then look for the % "discount" which is:
(345/510) × 100%= 67.65%