Solve the linear equation. 8x+32=1/5(25x−15)−4x

x= 5

Step-by-step explanation:

8x+32=1/5(25x−15)−4x

8x + 32 = 25x -15 - 4x   - 25x -15/  5

                    5

8x + 32 = 5x -3 - 4x

8x + 4x - 5x = -32 - 3

7x =-35

x = 35/7

x= 5

step-by-step explanation:

try remembering the steps

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°