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.
Answer:
187.5 gallons
Step-by-step explanation:
Make a proportion
= 
3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year
This gets you 187.5 gallons used in a year
Absolute value is the distance between a point and 0. Absolute value is always positive. When you're writing numbers in absolute value, make sure you add:
| |
The absolute value of a negative number is also positive. For example:
| -7 | = 7 ⇒The absolute value of -7 is 7.
Answer:
I think it is 9
Step-by-step explanation:
3×3 is 9 + 15= 24÷4=3×3=9
Answer:
36x - 108 kilometers²
Step-by-step explanation:
Area = length x width
36 ( x - 3 ) =
36x - 108
-Chetan K
