What is the value of x in the rhombus below?

D. 28

Step-by-step explanation:

The total of angles in a triangle is 180°. Since this is a rhombus, the four triangles that make up the rhombus are all right triangles. Therefore, you already know one of the angles in the triangle.

90 + (x + 6) + 2x = 180

90 + x + 6 + 2x = 180

Then, combine all like terms and solve.

3x + 96 = 180

3x = 84

x = 28

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

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;