Answer:
x = 4
Step-by-step explanation:
A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.
In trapezoid ABCD, BC and AD are the diagonals.
Hence BC = AD (property of isosceles trapezoid)
9x + 1 = 12x - 11
Simplifying:
12x - 9x = 1 + 11
3x = 12
Dividing both sides by 2:
x = 4
Answer:
2
Step-by-step explanation:
The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
First, we need to interpret and represent this statement mathematically
Let n be the number.
The sum means 'addition'
1/6 of that number is 1/6 of n = 1/6 × n =
2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n =
So the question says that, when we add; ,
and 7 all together, the value is 12 1/2
That is;
+
+ 7 = 12 1/2
+
+ 7 =
( changing 12 1/2 to improper fraction will give
)
So we can now go ahead and solve for n
+
+ 7 =
subtract 7 from both-side of the equation
+
=
- 7
=
=
can be reduced to give us
=
Cross multiply
8n × 2 = 11× 3
16n = 33
Divide both-side of the equation by 16
=
(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)
n = =
Therefore the number is