Evaluate 4 + s × 12, where s= 1/2
(A) 6
(B) 10
(C) 24
(D) 54

(B) 10

Step-by-step explanation:

f(s) = 4 + s × 12

f(1/2) = 4 + (1/2) × 12

= 4 + 6

= 10

10

Step-by-step explanation:

4 + s x 12

4 + (s x 12)

s = 1/2

substitute for s

4 + (1/2 x 12)

4 + 6 = 10

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°

answer is 12345678900987654321234567890987654321

step-by-step explanation: