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.
Answer:
slope is -2/3
Step-by-step explanation:
Answer:
I think it's 56 students have a gadgets
Exact form: 3/2
decimal form:1.5
mixed number: 1 1/2
Answer:
84°
Step-by-step explanation:
Let the two complementary angles be x and y.
If the measure of an angle is 14 times the other, then x = 14y...... 1
Since the two angles are complementary, their sum will be 90° i.e x+y = 90° ...... 2
Substitute equation 1 into 2
14y+y = 90
15y = 90
y = 90/15
y = 6
Since the angle is x = 14y
x = 14(6)
x = 84°
Hence the measure of the angle is 84°
