Answer:
x = 7 / 2
Step-by-step explanation:
5(2x - 9) + 3 = -7 ---------- subtract 3 from both sides
5(2x - 9) + 3 - 3 = -7 - 3
5(2x - 9) = -10 ------ divide both side by 5
2x - 9 = -2 ---------- add 9 to both sides
2x - 9 + 9 = -2 + 9
2x = 7
x = 7 / 2
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:
Step-by-step explanation:
An arithmetic sequence that is described by the explicit formula ...
can also be described by the recursive formula ...
Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...
Answer:
False, there are no solutions
Step-by-step explanation:
y = 2x+4
y = 2x+10
The slopes are the same (2) but the y intercepts are different
These lines are parallel with different intercepts
They will never intersect so there are no solutions
