Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Because most of the area under any normal curve falls within a limited range of the number line
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
const2013 [10]
Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.
Stem | Leaf
3 | 0
5 | 4 5 5
6 | 6
7 | 8 9
8 | 0 1
9 | 1 2
This is the required stem leaf plot.
-9,-6,-3,0,1,4,8⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
110