Answer:
value of x = 2
Step-by-step explanation:
the given quadrilateral will be a parallelogram if their diagonals bisects each other so,
if 5x - 1 = 2x + 5 , then the given quadrilateral is a parallelogram.
now,
=》 5x - 1 = 2x + 5
=》 5x - 2x = 5 + 1
=》3x = 6
=》x = 6 ÷ 3
=》x = 2
hence, if x = 2 units, then the given figure will be a parallelogram.
1. ∠1 ≅ ∠3 1. given
∠1 and ∠6 are supplementary angles
∠3, ∠4, and ∠5 are supplementary angles
2. m∠1 = m∠3 2. definition of congruency
3. m∠1 + m∠6 = 180° 3. definition of supplementary angles
m∠3 + m∠4 + m∠5 = 180°
4. m∠3 + m∠4 + m∠5 = m∠1 + m∠6 4. transitive property
5. m∠3 + m∠4 + m∠5 = m∠3 + m∠6 5. substitution property
6. m∠4 + m∠5 = m∠6 6. subtraction property of equality
This statement is correct as 12 is half of 24 and 2 is half of 4. We can also put this as the fraction 1/2 or 0.5 or 50% or 1:2. Therefore for every one bot there are two girls in the class.
