Pls

find the measure of angle x in the figure below:

two triangles are shown such that one triangle is inverted and share a common vertex. the lower triangle has two angles at the base marked as 75 degrees each. the angle at the vertex of the inverted triangle at the top is marked as x degrees.

15°
25°
30°
60°

Step-by-step explanation:

In the given picture , we have two triangles ( one on another ) ,such that one triangle is inverted and share a common vertex. .

Then , the third angles of the lower triangle must be x   [∵ Vertical angles are congruent.]

When we consider the lower triangle, we have

    [ By Angle sum property ]

Hence, the measure of angle marked as x =

b

step-by-step explanation:

the word superfluous means unnecessary

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;