Which math expression means "the sum of 33 and 18"? O A. 33 = 18 O B. 33. 18 O C. 33 - 18 O D. 33 + 18

D. 33 + 18

Step-by-step explanation:

Sum in mathematics is the same as addition or plus.

As such the sum of two or more numbers is the addition of these numbers or the result obtained when the plus sign is placed in between the given numbers.

Hence, the sum of 33 and 18 may be expressed as

33 + 18

Option D is right

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°

27

step-by-step explanation: