Answer:
f=22 degrees, g=89 degrees
step by step explaination:
When two lines are parallel to one another, and a line is drawn between them, any angle labeled will be equal to the angle on the opposite side of the middle line. This would make f=h, g=d, and even the angle 69 equal to angle e.
Answer:

Step-by-step explanation:
Tan can be defined as:
as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.
Using this we can define tan

Answer:
B -5, and 5
Step-by-step explanation:
you can't have zero on the bottom
Answer:
15 inches
Step-by-step explanation:
42 = 2L + 2(6)
first, we need to isolate L.
solve 2(6) to make this easier
42 = 2L + 12
42 - 12 = 2L + 12 - 12 ( this cancels out 12. )
30 = 2L
30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )
15 = L
Answer:
Cathy was right ( kinda)
Step-by-step explanation:
let the dimension of the small one be 2a : 2b : 2c
then the dimension of the big one be 3a : 3b : 3c
volume of small: 2a*2b*2c = 8 abc
volume of big: 3a*3b*3c = 27 abc
volume ratio: big/ small = 27/8 = 3.375
-> big one hold 237.5% more than small
-> Cathy was right ( kinda)