3(2x+1)+2(x+4) simplify

8x + 11

Step-by-step explanation:

3(2x + 1) + 2(x + 4)

(Distrbute)

6x + 3 + 2x + 8

(Combine Like Terms)

= 8x + 11

(There is your answer!)

The answer is 8x +11

Step-by-step explanation:

6x+3 + 2x+8

8x +11

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

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°