A ∠A and
∠
B
∠B are vertical angles. If m
∠
A
=
(
5
x
−
24
)
∘
∠A=(5x−24)
∘
and m
∠
B
=
(
3
x
+
24
)
∘
∠B=(3x+24)
∘
, then find the value of x.

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

Me max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z