Find the measure of x

X=27

Step-by-step explanation:

< BAC = x

< ABC = 90° KL PERPENDICULAR TO FG

<ACB= 63

X+90+63=180

X=27

x = 27 degree      Due to complimentary = 90 as 180-90 = 90 degree and emits our right angle 90 degree then GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree

Step-by-step explanation:

GCJ = 63    IAK = x   Where;  DE = FG to parallel lines KAE =90 degrees and is congruent to ABG Therefore x = 180-90- 63 = 27 degree as supplementary angles up to 180 degree    or 90-63= 27 and angles GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

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;