Answer:
DE = 6 cm
Step-by-step explanation:
Let DE = x cm.
Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)
As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.
Therefore, from (1) We get , m∠EAD = m∠ADE and m∠EBD = m∠BED.
So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.
So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then
12 + x + x + x = 30
⇒ 12 + 3x = 30
⇒ x = 6
Hence, the length of DE is 6 cm.
D(7, 3), E(8, 1), and F(4, -1)
We calculate the squared distances between the points:



Since
we have a right triangle with hypotenuse DF.
Answer:
D. -4
Step-by-step explanation:
the slope formula is
m=(y2-y1)/(x2-x1)
(x2,y2) = (4,7)
(x1, y1) = (5,3)
So (7-3)/(4-5) = 4/-1 = -4
Answer:
after 1 Min it's -9
after 2 mins it's -1.08
Step-by-step explanation:
12% X 75 = 9
12% X 9 = 1.08
X = 23
x - 7
(23) - 7 = 16
16 is your answer
hope this helps