In the slideshow simplifying radicals, under media in chapter 9, one specific condition to satisfy is to use the quotient rule.

a. true
b. false

True

Step-by-step explanation:

In Mathematics, A radical symbol is defined as √

It is an expression that is uses a root, such as the square root (√ ) or cube root ( ∛ )

To fully show a radical expression:

A is the radicand

√ is the radical symbol

Here, the degree is 2.

Quotient Rule for Radicals

For non- negative real numbers, x and y:

=

Example :

= = = 2

So, in simplifying radicals, quotient rule is used as demonstrated above. So the condition is true

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°

47

step-by-step explanation: