Use the Given information to find the indicated angle measure.

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21) 86°

22) 23°

Step-by-step explanation:

21) Since Angle ADC is 135,

7x + (11x+9) = 135

18x + 9 = 135

18x = 126

x = 7

Since we have to find Angle BDC,

Substitute 'x = 7' into '11x+9':

11(7) + 9

= 77 + 9

= 86

22) Since Angle NRQ is 78,

(8x+7) + (4x-1) = 78

12x + 6 = 78

12x = 72

x = 6

Substituting 'x = 6' into '4x-1'

4(6) - 1

= 24 - 1

= 23

Feel free to mark this as brainliest! :D

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;