Help please geometry

x=11

Step-by-step explanation:

For Problem 43:

Since 12x-18 and 5x+59 are vertical you set them equal to each other and solve:

12x-18=5x+59

x=16 degrees

x=11 degrees

Step-by-step explanation:

Start with the equation: 4x-25=2x+7

Subtract 2 x's from each side: 2x-25=7

Add 25 to each side: 2x=32

Divide each side by 2 to get: x=16 degrees

Start with the equation: 12x-18=5x+59

Subtract 5 x's from each side: 7x-18=59

Add 18 to each side: 7x=77

Divide each side by 7 to get: x=11 degrees

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:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)