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.
Step 2: She did not simplify under the square root correctly
under the square root:
(-6)^2 =36
and -4(5)(-8) =160
therefore under the square root it needs to be square root of 36+160 which is square root of 196.
That answer is 14 when square rooted
Answer:

Step-by-step explanation:
we would like to figure out the derivative of the following:

to do so, let,

By simplifying we acquire:

use law of exponent which yields:

take derivative in both sides:

use sum derivation rule which yields:

By constant derivation we acquire:

use exponent rule of derivation which yields:

simplify exponent:

two negatives make positive so,

<h3>further simplification if needed:</h3>
by law of exponent we acquire:

simplify addition:

and we are done!
This question is a little tricky. Carla had a bill of $15, which we will add to the cost of Rob's lunch. They left a 20% tip on the TOTAL cost of both their lunches, which should equal $6. 20% is equivalent to 0.2. So, the equation is 6=0.2(x+15). In other words, 20% of the sum of Carla and Rob's lunches is 6 dollars.
Answer: 6=0.2(x+15)