Consider that x=1.5 and y=3. which statement is true about x + y a the sum of x and y is a rational number b the sum of x and y is an imaginary number c the sum of x and y is an irrational number d the sum of x and y is neither rational not irrational

 The correct option is

(A) the sum of x and y is a rational number

Step-by-step explanation:  We are given to consider that x = 1.5 and y = 3.

We are to select the statement that is true about the sum x + y.

To select the correct statement, we first find the value of the sum x + y.

We have

So, the value of the sum is 4.5. It is a real number.

We know that a real number is

(i) rational, if the digits after the decimal are either terminating or repeating,

(ii) irrational, if the digits after the decimal are neither repeating nor terminating.

The sum 4.5 has terminating digits after the decimal, so it is a rational number.

Thus, the sum of x and y is a rational number.

Option (A) is CORRECT.

m∠abd = m∠dbc

step-by-step explanation:

given : ab bisects ∠dbc

as we know that bisection means ab divides   ∠dbc   in two equal angles named as   ∠dba and   ∠abc

so, m∠abd = m∠dbc  

because ab bisects ∠dbc.

hence , the first statement m∠abd = m∠dbc is true.