Evaluate r8+ 14s when
r =6 and s =1/4

51.5

Step-by-step explanation:

What we can do here is to plug the given values into the expression.

8r+14s

8(6)+14(1/4)

Simplify.

48+3.5

51.5

51.5

Explanation:

r8 + 14s

r = 6

s =

Convert   to a decimal: 1 ÷ 4 = 0.25

Insert 6 for 'r' and 0.25 for 's' in the equation

6 · 8 + 14 · 0.25

48 + 14 · 0.25

14 · 0.25 = 3.5

48 + 3.5 = 51.5

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°

step-by-step explanation: