Leah asked her dance students to each hand out at least 10 flyers advertising their upcoming dance recital. she constructed a histogram to display the number of recital flyers handed out by the students. after the data was recorded, leah realized that she left out a student who handed out 42 flyers. how would the mean number of flyers handed out be affected if leah added this number to the data shown in the histogram? a. the mean number of flyers handed out would not be affected. b. the mean number of flyers handed out would decrease. c. the effect on the mean number of flyers handed out cannot be determined. d. the mean number of flyers handed out would increase.

B

Step-by-step explanation:

The Answer would be D; That the mean would increase, not decrease.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

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°