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:
y+7-2=21
y+5=21
y+21-5
y=16
Step-by-step explanation:
Step-by-step explanation:
We can write
X=-2,-1,0,1,2
And the equation is y=3x+4-------(1)
First we should be put all the value in equation (1)
y=2,1,4,7,10
And the answer will
(x, y) ={ (-2,2),(-1,1),(0,4),(1,7),(2,8)}
Answer:
g(5x)= 20
Step-by-step explanation:
g(x)=4 is basically saying that 1 x is equal to 4.
g(5x) wants to know what 5 times 1 x is equal to (5 times 4 (4 is equal to 1 x)
g(5x)= 5(x=4)
g(5x)= 20
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
