What is e, solve for e

e= -2

Step-by-step explanation:

To solve for e, we need to get e by itself. To do this, we need to move all the numbers to one side of the equation, and all the variables to the other

9e-7=7e-11

Add 7 to both sides

9e-7+7=7e-11+7

9e=7e-4

Subtract 7e from both sides

9e-7e=7e-7e-4

2e= -4

Now all the numbers are one sides, and the variables are on the other. e is still not completely by itself, it is still being multiplied by 2. To reverse this, divide both sides by 2

2e/2= -4/2

e= -2

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°