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.
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Answer:
<h2>84in²</h2>
Step-by-step explanation:
If the first one is 7 inches long, and 6 inches wide, and the second one is also 7 inches long, but is 6x2 inches wide, then what's the area?
6x2=12
So, Picture Frame 2 = 12 inches wide
Formula for finding area = LxW
L = 7
W = 12
7x12=84
So hence, your answer is 84in²
The area of the second frame is 84in²
Thanks!
Answer:
1/2
Step-by-step explanation:
the probability of the die rolling an even number = the probability of the die rolling an odd number =1/2
Let us name these 2 dice as A and B
One die can roll an even and the other can roll an odd, in the following cases
A rolls even and B rolls odd. The probability of this happening =1/2×1/2
A rolls odd and B rolls even. The probability of this happening =1/2×1/2
∴ The required probability
=1/2×1/2+1/2×1/2
=1/4+1/4
=1/2
We can name an angle either by naming its vertex or by three letters , keeping the letter of vertex in between.
so here vertex is F
we can name it as ∠EFG, ∠F , ∠GFE
This strikes out the option B that is ∠G
so option B is the answer
