Find the length of dm in the given fig.

Step-by-step explanation:

(Let the point where the altitude from intersects be called as point .) First, let's find the area of parallelogram . The area of a parallelogram is simply , where is the parallelogram's base and is the parallelogram's height. If we let and be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram will be .

Now, how does this information matter, you might ask? Well, we can take either or to be the base and either or to be the height. In this case, let's take the latter two options, as we are looking to find the length of .

Therefore, we know that the area of parallelogram can also be found by calculating . Since we know the values of the area and , we can write the following equation to solve for :

(Substitute and into the equation)

(Divide both sides of the equation by to get rid of 's coefficient)

(Simplify)

(Symmetric Property of Equality)

Hope this helps!

if he has no friends he cant give them out to his friends

step-by-step explanation:

no friends = cant give anything out

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)