Same-side interior angles where a transversal crosses parallel lines are supplementary:
The solutions to these equations can probably be done in your head:
- y = 180/(6+4) = 18
- x = (180-90)/5 = 18
The angles at the bottom of the figure, shown as different, are actually the same: 90°.
The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.
Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!
Find the ratio of the area to the square radius for each circle.
Answer: the numbers can be 16 and 9, 6 and 24 or other factors of 144
1 sq yrd = 9 sq. ft
so 30 sq. yards times 9 = 270 square feet
-"270 square feet"-
