Explanation:
Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.
If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.
Answer:
The length = 56 feet and the width = 17 feet.
Step-by-step explanation:
We can set up 2 equations to solve this. Let the length of the rug be x, then
x = 3w + 5 where w = the width. ( looks like you got the width and the length mixed up. The length is the longest side)
The perimeter = 2x + 2w = 146 so we have the 2 equations:
x = 3w + 5
2x + 2w = 146
Now we substitute for x in the second equation:
2(3w + 5) + 2w = 146
6w + 10 + 2w = 146
8w = 136
w = 17 feet,
and x = 3(17) + 5 = 56 feet.
Your answer that you are looking for is 108.
The cost of bananas = $ 3.48
This can be written as :
this number written in expanded notation as : (3 × 1) + (4 × 0.1) + (8 × 0.01)
3+0.4+0.08 = 3.48
Hence, 1st option is correct.
