I ONLY HAVE THREE ATTEMPTS ON THIS ASSIGNMENT, AND I CANNOT FAIL.

IT'S NOT A.

A suitcase has a lock on it consisting of three numbers. Each number could be any
number 0-9. The only restriction is that two numbers in a row cannot be the same
(e. g. you couldn’t use 322 because the 2’s are adjacent but you could use 343
since none of the same numbers are adjacent).

A. 5040

B. 7290

C. 810

D. 1,000

C. 810

Step-by-step explanation:

It is the only choice with 3 digits and no adjacent numbers that are the same

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:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.