Answer: FALSE
Actually, the answer to this question depends on whether the clause is reversed or not.
Since we are not told whether the the clause is reversed or not. It is safe to assume that it was retained (i.e. not reversed). So the answer to this question is FALSE because if one takes a true "if-then" statement, inserted a 'not' in each clause, and retained the clauses, the new statement would NOT be true.
On the contrary, if the clause is reversed, the answer would be TRUE, because if one takes a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.
Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
-10y + 9x = - 9....A
10y + 5x = - 5.....B
You should see right away that -10y and 10y cancel out.
We are left with
14x = -14
x = -14/14
x = -1
Plug x = -1 into EITHER equation A or B to find y.
I will use equation A.
-10y + 9(-1) = - 9
-10y - 9 = - 9
-10y = - 9 + 9
- 10y = 0
y = 0/-10
y = 0
Done!
2m-4 = x+nx switch sides
2m-4 = x (1+n) common factor
2m-4/1+4 = x divide both side by 1-x
The correct option is Option 4: 
Step-by-step explanation:
Given
Length of box = l = ab
Width of box = w = a+5b
Height of box = h = 2b^2
The volume of a box is given by:
Putting the values
Hence,
The correct option is Option 4:
Keywords: Volume, Polynomials
Learn more about polynomials at:
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