The length of an engine bolt for a lawnmower is 2.675 centimeters. the length of an engine bolt for another lawnmower is 2.5848 centimeters. what is the difference between the lengths of these two bolts? a. 0.091 centimeters b. 0.0908 centimeters c. 0.09 centimeters d. 0.0902 centimeters

2.675cm - 2.5848 cm = .0902 cm

AnswerD. 0.0902 centimeters

22 dimes and 9 nickels

step-by-step explanation:

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°