For the following true conditional statement, write the converse. If the converse is also true, combine the statements as a biconditional. If x = 3, then x2 = 9. If x2 = 9, then x = 3. x2 = 9 if and only if x = 3. If x2 = 3, then x = 9. If x2 = 9, then x = 3. x = 3 if and only if x2 = 9. If x2 = 9, then x = 3.

Converse is not true

Step-by-step explanation:

If x = 3, then x² = 9

But the converse is not true

Because if x² = 9, then x can be 3 or -3

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°