Answer: The slope of DE is 0.5 and the length of DE is 1.6 units.
Explanation: Given that the midpoints D and E of triangle ABC are joined by line segment DE, this line segment DE will be parallel to BC and will measure half of the length of BC according to the midpoint theorem for triangles. Therefore, the slope of DE is
slope of DE = slope of BC = 0.5
since they are parallel, and the length of DE is
length of DE = 0.5 * length of BC = 0.5 * 3.2 = 1.6 units.
Answer:
x² - 25
Step-by-step explanation:
Given:
(x-5)(x+5)
Find:
Product
Computation:
(x-5)(x+5)
(a+b)(a-b) = a² - b²
(x-5)(x+5) = x² - 5²
(x-5)(x+5) = x² - 25
Alternate:
(x-5)(x+5)
x² + 5x - 5x - 25
x² - 25
Answer:
Step-by-step explanation:
<u>Area Of A Parallelepiped</u>
The area of a parallelepiped of dimensions l,h,w is
The dimensions provided are enough to know the surface area of the container in square feet.
w=4 feet, h=14 feet, l=20 feet.
The area is then,
Sofia is going to need of material to wrap the box
In the first question,
Since D is the midpoint of line segment AC.
therefore, AD=DC.
In triangles, ABD & CBD.
Since, AB is congruent to CB and BD is a common side between those two triangles.
Therefore, AD is congruent to DC.
Finally, in triangles DEA & DEC
Since, ED line segment is a common side between those triangles and the measure of angle EDA is as the same of angle EDC which are equal to 90 degrees and AD is congruent to DC.
Therefore, triangle EDA is congruent to triangle EDC ( you have to take care of the triangle order letters in congruence) and EC is congruent to EA.
Answer:
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).