Answer:
(B) The measure of angle SUT is equal to 90 degrees
Step-by-step explanation:
It is given that in In triangle STU,
.
We can see from the triangle and also the given condition that the triangle will be right triangle as it is satisfying the Pythagoras theorem.

that is:

where u is the hypotenuse, s is the base and t is the perpendicular.
Thus, the angle SUT should be of 90°.
Thus, The measure of angle SUT is equal to 90 degrees.
Hence, option B is correct.
Answer:
√27
Step-by-step explanation:
The triangles of the pyramid are equilateral triangles with sides of 6''.
Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:
3² + s² = 6²
s² = 6² - 3²
s = √27
Answer:
The answer to your question is the third histogram
Step-by-step explanation:
What we must check in a histogram is that the x-axis is represented the intervals and in the y-axis is represented the frequency.
The first histogram is incorrect just by observing the first bar, we notice that the correct frequency from 0 to 4 is 3, not 14. This histogram is incorrect.
Also, the second histogram is incorrect, the frequency of the first category is 3, not 12. This histogram is wrong.
The third histogram is correct because all the bars are in agreement with their frequencies.
The last histogram is incorrect, for example, the last frequency is 12, not 3.
The unit rate is 4/5 or .8. Simply divide 4/5, and then use that to find your other answers. 3/.8=3 3/4 6 1/4* .8= 5.
4 5
3 3 3/4
5 6 1/4