3. Which of the following equations does not have a rational solution?
(A) x*x= 2
(B) x*x=1
(C) x*x=0
(D) x+x=0

Equation A doesn't have a rational solution

Step-by-step explanation:

Notice that the solutions for equation A is:

and is an irrational number

The other equations have rational solutions:

Equation B:  x = 1 and x = -1 are solutions (both rational numbers)

Equation C:  x = 0 is the solution (rational number)

Equation D : x = 0 is the solution. (rational number)

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

ummm seems that u didnt post the attachement !