Which statement about the answer to this problem is most accurate? 5/6 − 3/8 = 19/24

A. The answer 19/24 is reasonable because both fractions are closer to 1/2 than they
are to 1, making the difference close to 0.

B. The answer 19/24 is reasonable because 5/6 and 3/8 are both closer to 1 than to
1/2 making the difference close to 0.

C. The answer 19/24 is not reasonable because 5/6 is closer to 1 than to 1/2, and
3/8 is close to 1/2, making the difference close to 1/2.

D. The answer 19/24 is not reasonable because 5/6 is closer to 1/2 than to 1, and
3/8 is closer to 0 than to 1/2, making the difference close to 1/2.

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°

- (2, -7)

- lines r and s and lines t and u must be parallel

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

hope this : )

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