Answer:
A
Step-by-step explanation:
Given:ABCD is a rhombus.
To prove:DE congruent to BE.
In rombus, we know opposite angle are equal.
so, angle DCB = angle BAD
SINCE, ANGLE DCB= BAD
SO, In triangle DCA
angle DCA=angle DAC
similarly, In triangle ABC
angle BAC=angle BCA
since angle BCD=angle BAD
Therefore, angle DAC =angle CAB
so, opposite sides of equal angle are always equal.
so,sides DC=BC
Now, In triangle DEC and in triangle BEC
1. .DC=BC (from above)............(S)
2ANGLE CED=ANGLE CEB (DC=BC)....(A)
3.CE=CE (common sides)(S)
Therefore,DE is congruent to BE (from S.A.S axiom)
Answer:
- 77x + 42
Step-by-step explanation:
note that (f ○ g)(x) = f(g(x)
Substitute x = g(x) into f(x)
f(g(x))
= f(7x - 4)
= - 11(7x - 4) - 2
= - 77x + 44 - 2
= - 77x + 42
Answer:
7
Step-by-step explanation:
Answer:
1/8th cup of marshmallows in each mug
Step-by-step explanation:
In order to split up the 1/2 cup of marhsmallows into 4 cups, you have to divide.
To divide, 1/2 by 4, you have to multiply 1/2 by the reciprocal of 4, which is 1/4.
1/2 x 1/4 = 1/8
